David Yaro - Academia.edu (original) (raw)

Papers by David Yaro

Research paper thumbnail of Homoclinic breathers and soliton propagations for the nonlinear (3+1)-dimensional Geng dynamical equation

Research paper thumbnail of Examining Youth Participation in Local Governance: The Case of Selected Districts in Ghana

African Journal of Empirical Research

The participation of Ghana’s youth in its democratic governance in recent times cannot be overemp... more The participation of Ghana’s youth in its democratic governance in recent times cannot be overemphasised. The youth have non-restrictive opportunities to be elected, exercise their franchise and subsequently involve in local and national development activities. The Metropolitan, Municipal and District Assemblies (MMDAs) have a stake in the development, implementation and coordination of local and national policies that inure to youth activities and development. The study examines youth participation in governance among three districts in Ghana adopting a mixed research method by combining qualitative and quantitative methods. It used survey questionnaires, focus group discussion and interview for its primary data collection. The research was conducted in three assemblies namely Yilo Krobo Municipal Assembly, Awutu Senya District Assembly and Ashaiman Municipal Assembly. In all, 220 persons were targeted as respondents for the quantitative data and 24 for the qualitative data. A tot...

Research paper thumbnail of A queueing simulation method for evaluating the performance of resource management in mutual mode

We model a queueing resource management in mutual mode. When analyzing the performance of the ser... more We model a queueing resource management in mutual mode. When analyzing the performance of the service system, we often use the queueing theory to get the various performance indexes. As the number of resources in the service system with interactive mode increases due to users' sharing behavior, it becomes very difficult to get a steady state of the system. We investigate how to evaluate the performance of such a service system in which the amount of resources changes over time on accounts of users' sharing behavior. In the process of solving, an algorithm is designed to evaluate the convergence of performance indicators. The algorithm effectiveness is verified by the simulation test of the evaluation system and the simulation frequency range of convergence of service performance indicators. We compare the queueing process in the mutual mode to the non-mutual mode and then obtain a steady state for the mutual mode. The unique phenomenon in interactive mode, which is a perform...

Research paper thumbnail of An Analysis of Non-Governmental Organisations’ Approach to Post-Conflict Peacebuilding in Northern Ghana

African Journal of Empirical Research

Non-governmental organisations in northern Ghana have been key actors in rural development and pe... more Non-governmental organisations in northern Ghana have been key actors in rural development and peacebuilding in conflict-affected communities. This study employed qualitative methods to critically examine how NGOs contributed to maintaining relative peace for the successful resolution of the crisis in Yendi after regicide in 2002. Forty- nine respondents were selected using purposive sampling criterion. Thematic descriptive approach was used for the analysis of the data. The research reveals that peacebuilding NGOs, in partnership with the state agencies and international community, play significant stabilisation role in post-conflict societies due to their neutrality and general acceptability to conflict parties. Based on the perspectives of interview respondents, we argue for the state to focus on creating a conducive atmosphere while NGOs and other non-state actors synergize to effectively manage conflicts in affected societies until lasting solution can be achieved. Some of the...

Research paper thumbnail of Soliton solutions to generalized (2+1)-dimensional Hietarinta-type equation and resonant NLSE along with stability analysis

International Journal of Modern Physics B

This paper discusses the generalized [Formula: see text]-dimensional Hietarinta-type fourth-order... more This paper discusses the generalized [Formula: see text]-dimensional Hietarinta-type fourth-order nonlinear equation (GHTE) and Resonant nonlinear Schrödinger equation (RNLSE). We will study the soliton solutions of the GHTE as well as RNLSE by the renowned, efficient and successful method called sub-ODE technique. The solutions are categorized as dark soliton, periodic, rational, positive, hyperbolic and Weierstrass elliptic solutions (WES). Stability analysis of the solutions is performed for both the models. Later on, these results will be displayed graphically by 3D, 2D, contour, density and streamline plots which describe the behavior of the waves.

Research paper thumbnail of Leadership Perspective on Traditional Conflict Resolution in Ghana: evidence from Sayegu, Bunkpurugu/Nankpanduri District

International Journal of Conflict Management, Dec 14, 2022

The purpose of the study is to explore the leadership role played by traditional leaders in confl... more The purpose of the study is to explore the leadership role played by traditional leaders in conflict resolution in the Sayegu Traditional Area. Methodology: Participants were purposively sampled from five (5) communities upon their preparedness to take part in the study. An interview guide and oral recordings were employed to gather the primary data. Data analysis was done qualitatively and where appropriate direct quotations were used to support the main analysis. Findings: The study suggests that traditional leadership plays a central role in conflict resolution. Political leadership recorded a minimal role in conflict resolution. Chiefs and the Council of elders were the most instrumental in matters of Alternative Dispute Resolution (ADR). Chiefs presided over conflict cases brought or summoned up to the Palace while the Council of elders offered counselling roles to the chiefs. District Chief Executives with the help of the Regional Security Council provided resources to calm tensions between conflicting factions. Unique contribution to theory, policy and practice: Some of the recommendations include traditional leaders should be encouraged to develop more affectionate relationships with key actors irrespective of their differences in political, tribal, clan, family, and religious attachment.

Research paper thumbnail of Predicting COVID-19 Pandemic Endpoint in Some Sub-Saharan African and European Countries

Journal of Applied Mathematics

In this study, a novel modified SIR model is presented with two control measures to predict the e... more In this study, a novel modified SIR model is presented with two control measures to predict the endpoint of COVID-19, in top three sub-Saharan African countries (South Africa, Ethiopia, and Kenya) including Ghana and top four European countries (France, Germany, UK, and Italy). The reproduction number’s sensitivity indices with regard to the model parameters were explicitly derived and then numerically evaluated. Numerical simulations of the suggested optimal control schemes in general showed a continuous result of decline at different anticipated extinction timelines. Another interesting observation was that in the simulation of sub-Saharan African dynamics, it was observed that the use of personal protective equipment was more effective than the use of vaccination, whereas in Europe, the use of vaccination was more effective than personal protective equipment. From the simulations, the conclusion is that COVID-19 will end before the 3rd year in Ghana, before the 6th year in Kenya,...

Research paper thumbnail of Discussion on couple of nonlinear models for lie symmetry analysis, self adjointees, conservation laws and soliton solutions

Optical and Quantum Electronics

Research paper thumbnail of Chirped optical pulses for generalized longitudinal Lugiato Lefever: cubic nonlinear Schrödinger equation

Optical and Quantum Electronics

Research paper thumbnail of Developing Alternatives: Citizens Perspectives on Causes and the Ramifications of the 2003 Conflict in Darfur

International Journal of Conflict Management

This manuscript provides an alternative examination of the causes and the ramifications of the co... more This manuscript provides an alternative examination of the causes and the ramifications of the conflict in Darfur. The findings reveled the causes of the conflict to be religion, racial segregation, resources, geographical factors, the influx of weapons etc. and the ramifications are Genocide/Killing, Starvation, Rape, Fear and insecurity, Destruction of Property etc. The parties involved are Government forces, Janjaweed, USA, China Libya, Egypt etc. A purposive sampling technique was used to select 26 respondentswhich include, Diplomats, Civil Servants, Students and refugees. The instrument used for data collection was a semi-structured interview guide. It was conducted within the framework of ‘identity politics. The recommendation to the Sudanese Government is that the government has the following role to play: Protection of the civilian population by the Sudanese government. This can be done by: Publishing and disseminating orders eliminating the targeting of inhabitants, prope...

Research paper thumbnail of The explicit and traveling wave solutions of the nonlinear Phi-4 model and its implementations

International Journal of Modern Physics B

Analysis of simple analytical wave solutions to nonlinear evolution equations is a fascinating an... more Analysis of simple analytical wave solutions to nonlinear evolution equations is a fascinating and growing area of knowledge in highly nonlinear sciences. The Riccati equation rational expansion technique is being used in the paper to establish the exact traveling wave solutions of the Phi-4 model. We have investigated certain types of explicit solutions using this technique, such as periodic, hyperbolic, and rational solutions with some free parameters. The solitary wave solutions are derived from the traveling wave solutions when the parameters are set to particular values. In mathematical physics, it is discovered that the implemented technique is more effective for finding the analytical wave solution of nonlinear evolution models. The approach stands out for its simple and quick computation procedure.

Research paper thumbnail of The nonlinear Schrödinger equation with polynomial law nonlinearity: localized chirped optical and solitary wave solutions

Optical and Quantum Electronics

Research paper thumbnail of Generalized Euler Method for Modeling Measles with Fractional Differential Equations

International journal of innovative research and development, 2015

In this paper, a fractional order SIRV model with the rate of vaccination () and treatment () is ... more In this paper, a fractional order SIRV model with the rate of vaccination () and treatment () is formulated to describe measles disease. The fractional derivatives are described by Caputo's sense. A study of the effect of eradicating measles can be observed by varying the value of and . A Generalized Euler method (GEM) is considered in this paper to obtain an approximate solution of the model. The stability analysis of the equilibrium points is obtained. A numerical simulation of the solution is carried out and represented graphically.

Research paper thumbnail of The Stability Analysis of a Double-X Queuing Network Occurring in the Banking Sector

Mathematics, 2021

We model a common teller–customer interaction occurring in the Ghanaian banking sector via a Doub... more We model a common teller–customer interaction occurring in the Ghanaian banking sector via a Double-X queuing network consisting of three single servers with infinite-capacity buffers. The servers are assumed to face independent general renewal of customers and independent identically distributed general service times, the inter-arrival and service time distributions being different for each server. Servers, when free, help serve customers waiting in the queues of other servers. By using the fluid limit approach, we find a sufficient stability condition for the system, which involves the arrival and service rates in the form of a set of inequalities. Finally, the model is validated using an illustrative example from a Ghanaian bank.

Research paper thumbnail of A mathematical view towards improving undergraduate student performance and mitigating dropout risks

Nonlinear Analysis-Modelling and Control, 2021

In this paper, we assess the relevance of social and cognitive factors such as self-efficacy, loc... more In this paper, we assess the relevance of social and cognitive factors such as self-efficacy, locus of control and exposure to negative social influence in relation to undergraduate student dropout. To this purpose, we analyze a compartmental model involving a system of nonlinear ODEs, which is loosely based upon the SIR model of mathematical epidemiology and describes the academic performance of the student population. We examine threshold values that govern the stability of the equilibria and can be viewed as target values to be reached in order to alleviate undergraduate students dropout. A backward bifurcation is observed to occur, analytically and numerically, provided that certain conditions are satisfied. A sensitivity analysis is then performed to find how the threshold values respond to changes in the parameters, a procedure for estimating these parameters being also proposed. Concrete values are then computed using survey data from a Ghanaian university. The impact of para...

Research paper thumbnail of Explicit and traveling wave solutions of the non-linear couple Drinfeld-Sokolov-Wilson dynamical system arising in shallow water waves

Journal of King Saud University - Science, 2021

Abstract We efficaciously extended the ansatz in the Riccati equation rational expansion techniqu... more Abstract We efficaciously extended the ansatz in the Riccati equation rational expansion technique to a new broad form and is used to attain some new exact wave solutions for the couple non-linear Drinfeld-Sokolov-Wilson (DSW) system. This system arises in water waves, quantum mechanics, fluid mechanics, biology, chemistry etc. Several of the attained solutions which is in the shape of rational solitary wave solutions and periodic wave solutions are entirely new and could be vital for researchers to appreciate. Certain selected solutions are graphically verified by precise values allocated to constant parameters. This technique with the current ansatz can be implemented with a broader range of applicability to handle various other forms of non-linear evolution systems (NLES).

Research paper thumbnail of Application of Queueing Theory in Dispensation of Resources and Optimization in Teleconsultation

International Journal of Applied and Computational Mathematics, 2020

The common queueing problem in hospital has always focused on domestic and foreign specialist. Va... more The common queueing problem in hospital has always focused on domestic and foreign specialist. Various improved models of queueing theory are widely used to solve problems. Most of the existing research results focus on improving the efficiency of hospital outpatient service and operation on bed arrangement, and rarely involve the emerging phenomenon of long-distance consultation queueing. With the development of medical information, more patients will request for remote consultation in primary hospitals to obtain experts resources of bigger hospitals in the most convenient way. In cities where some telemedicine development is at the forefront, there has been a phenomenon of queueing for remote consultation, however, the special queueing phenomenon that patients do not appear in hospitals cannot be explained by existing queueing model. Hence a more suitable queueing model is needed. We deduced the following, according to the parameters, the queueing system of remote consultation is simulated. It is found that the queueing of internal medicine department is congested. By analyzing the number of consultation rooms and the influence of experts of internal medicine department on queueing length and queueing time, it is concluded that experts of internal medicine department need not change too much. This study enriches the theoretical optimization queueing problem in hospital management and provides an analysis and decision making method for perfecting the theory of hospital queueing and improving the efficiency of medical services.

Research paper thumbnail of Nonlinear incidence Human immunodeficiency virus infection model with optimal control

International Journal of Modern Physics B, 2020

Mathematical modeling plays a crucial role in understanding the dynamics of Human immunodeficienc... more Mathematical modeling plays a crucial role in understanding the dynamics of Human immunodeficiency virus (HIV) disease. Most models deal with the vertical and horizontal spread of disease, but few studies have focused on the evolutionary dynamics of HIV at the cellular level. In this paper, we present an HIV model to analyze the dynamics of HIV infection at the cellular level to produce more natural results. We present a detailed stability analysis of disease-free and viral-persistence equilibrium in the system. In addition, sensitivity analysis and optimal control strategies are used to analyze the role of antiretroviral drug therapy and dietary supplements in controlling the concentration of infected cells and viruses.

Research paper thumbnail of Propagation of traveling wave solutions for nonlinear evolution equation through the implementation of the extended modified direct algebraic method

Applied Mathematics-A Journal of Chinese Universities, 2020

In this work, different kinds of traveling wave solutions and uncategorized soliton wave solution... more In this work, different kinds of traveling wave solutions and uncategorized soliton wave solutions are obtained in a three dimensional (3-D) nonlinear evolution equations (NEEs) through the implementation of the modified extended direct algebraic method. Bright-singular and dark-singular combo solitons, Jacobi's elliptic functions, Weierstrass elliptic functions, constant wave solutions and so on are attained beside their existing conditions. Physical interpretation of the solutions to the 3-D modified KdV-Zakharov-Kuznetsov equation are also given. §1 Introduction Recently, some researchers have devoted themselves to the study of the exact solutions of several nonlinear evolution equations (NEEs), that play a critical part in explaining the characteristics of problems in areas of applied mathematics and mathematical physics. The nonlinear 3-D modified Korteweg-de Vries-Zakharov-Kuznetsov (mKdV-ZK) equation is a significant equation that has several physical occurrences also waves in nonlinear LC circuit through the mutual inductance between adjacent inductors, ion acoustic waves in plasma physics, fluid dynamics, nonlinear optic etc.[1, 2]. Attaining the exact and numerical solutions for NEEs shows a vital part in the research of physical occurrences and has progressively turned into critical and important responsibility. In contrast, the soliton and solitary wave solution of NEEs problems can help people understand these occurrences better than numerical solutions. Thus, the research of the soliton and solitary wave solutions of the NEEs plays a vital part in the learning of these physical occurrences, and various influential methods have been established to help find the exact solutions, for instance, the homotopy perturbation scheme, Bäcklund transformation, extended G (φ) G(φ)-expansion system, generalized algebraic scheme, Hirota's bilinear scheme, direct algebraic method, Jacobi elliptic function expansion scheme, inverse scattering

Research paper thumbnail of Jacobi Elliptic Function Solutions and Traveling Wave Solutions of the (2 + 1)‐Dimensional Gardner‐KP Equation

Mathematical Methods in the Applied Sciences, 2020

The fully integrable KP equation is one of the models that describes the evolution of nonlinear w... more The fully integrable KP equation is one of the models that describes the evolution of nonlinear waves, the expansion of the well‐known KdV equation, where the impacts of surface tension and viscosity are negligible. This paper uses the Modified Extended Direct Algebraic (MEDA) method to build fresh exact, periodic, trigonometric, hyperbolic, rational, triangular and soliton alternatives for the (2 + 1)‐dimensional Gardner KP equation. These solutions that we discover in this article will help us understand the phenomena of the (2 + 1)‐dimensional Gardner KP equation. Comparing the study in this paper and existing work, we find more exact solutions with soliton and periodic structures and the rational function solution in this paper is more general than the rational solution in existing literature. Most of the Jacobi elliptic function solutions and the mixed Jacobi elliptic function solutions to the (2 + 1)‐dimensional Gardner KP equation discovered in this paper, to the best of our ...

Research paper thumbnail of Homoclinic breathers and soliton propagations for the nonlinear (3+1)-dimensional Geng dynamical equation

Research paper thumbnail of Examining Youth Participation in Local Governance: The Case of Selected Districts in Ghana

African Journal of Empirical Research

The participation of Ghana’s youth in its democratic governance in recent times cannot be overemp... more The participation of Ghana’s youth in its democratic governance in recent times cannot be overemphasised. The youth have non-restrictive opportunities to be elected, exercise their franchise and subsequently involve in local and national development activities. The Metropolitan, Municipal and District Assemblies (MMDAs) have a stake in the development, implementation and coordination of local and national policies that inure to youth activities and development. The study examines youth participation in governance among three districts in Ghana adopting a mixed research method by combining qualitative and quantitative methods. It used survey questionnaires, focus group discussion and interview for its primary data collection. The research was conducted in three assemblies namely Yilo Krobo Municipal Assembly, Awutu Senya District Assembly and Ashaiman Municipal Assembly. In all, 220 persons were targeted as respondents for the quantitative data and 24 for the qualitative data. A tot...

Research paper thumbnail of A queueing simulation method for evaluating the performance of resource management in mutual mode

We model a queueing resource management in mutual mode. When analyzing the performance of the ser... more We model a queueing resource management in mutual mode. When analyzing the performance of the service system, we often use the queueing theory to get the various performance indexes. As the number of resources in the service system with interactive mode increases due to users' sharing behavior, it becomes very difficult to get a steady state of the system. We investigate how to evaluate the performance of such a service system in which the amount of resources changes over time on accounts of users' sharing behavior. In the process of solving, an algorithm is designed to evaluate the convergence of performance indicators. The algorithm effectiveness is verified by the simulation test of the evaluation system and the simulation frequency range of convergence of service performance indicators. We compare the queueing process in the mutual mode to the non-mutual mode and then obtain a steady state for the mutual mode. The unique phenomenon in interactive mode, which is a perform...

Research paper thumbnail of An Analysis of Non-Governmental Organisations’ Approach to Post-Conflict Peacebuilding in Northern Ghana

African Journal of Empirical Research

Non-governmental organisations in northern Ghana have been key actors in rural development and pe... more Non-governmental organisations in northern Ghana have been key actors in rural development and peacebuilding in conflict-affected communities. This study employed qualitative methods to critically examine how NGOs contributed to maintaining relative peace for the successful resolution of the crisis in Yendi after regicide in 2002. Forty- nine respondents were selected using purposive sampling criterion. Thematic descriptive approach was used for the analysis of the data. The research reveals that peacebuilding NGOs, in partnership with the state agencies and international community, play significant stabilisation role in post-conflict societies due to their neutrality and general acceptability to conflict parties. Based on the perspectives of interview respondents, we argue for the state to focus on creating a conducive atmosphere while NGOs and other non-state actors synergize to effectively manage conflicts in affected societies until lasting solution can be achieved. Some of the...

Research paper thumbnail of Soliton solutions to generalized (2+1)-dimensional Hietarinta-type equation and resonant NLSE along with stability analysis

International Journal of Modern Physics B

This paper discusses the generalized [Formula: see text]-dimensional Hietarinta-type fourth-order... more This paper discusses the generalized [Formula: see text]-dimensional Hietarinta-type fourth-order nonlinear equation (GHTE) and Resonant nonlinear Schrödinger equation (RNLSE). We will study the soliton solutions of the GHTE as well as RNLSE by the renowned, efficient and successful method called sub-ODE technique. The solutions are categorized as dark soliton, periodic, rational, positive, hyperbolic and Weierstrass elliptic solutions (WES). Stability analysis of the solutions is performed for both the models. Later on, these results will be displayed graphically by 3D, 2D, contour, density and streamline plots which describe the behavior of the waves.

Research paper thumbnail of Leadership Perspective on Traditional Conflict Resolution in Ghana: evidence from Sayegu, Bunkpurugu/Nankpanduri District

International Journal of Conflict Management, Dec 14, 2022

The purpose of the study is to explore the leadership role played by traditional leaders in confl... more The purpose of the study is to explore the leadership role played by traditional leaders in conflict resolution in the Sayegu Traditional Area. Methodology: Participants were purposively sampled from five (5) communities upon their preparedness to take part in the study. An interview guide and oral recordings were employed to gather the primary data. Data analysis was done qualitatively and where appropriate direct quotations were used to support the main analysis. Findings: The study suggests that traditional leadership plays a central role in conflict resolution. Political leadership recorded a minimal role in conflict resolution. Chiefs and the Council of elders were the most instrumental in matters of Alternative Dispute Resolution (ADR). Chiefs presided over conflict cases brought or summoned up to the Palace while the Council of elders offered counselling roles to the chiefs. District Chief Executives with the help of the Regional Security Council provided resources to calm tensions between conflicting factions. Unique contribution to theory, policy and practice: Some of the recommendations include traditional leaders should be encouraged to develop more affectionate relationships with key actors irrespective of their differences in political, tribal, clan, family, and religious attachment.

Research paper thumbnail of Predicting COVID-19 Pandemic Endpoint in Some Sub-Saharan African and European Countries

Journal of Applied Mathematics

In this study, a novel modified SIR model is presented with two control measures to predict the e... more In this study, a novel modified SIR model is presented with two control measures to predict the endpoint of COVID-19, in top three sub-Saharan African countries (South Africa, Ethiopia, and Kenya) including Ghana and top four European countries (France, Germany, UK, and Italy). The reproduction number’s sensitivity indices with regard to the model parameters were explicitly derived and then numerically evaluated. Numerical simulations of the suggested optimal control schemes in general showed a continuous result of decline at different anticipated extinction timelines. Another interesting observation was that in the simulation of sub-Saharan African dynamics, it was observed that the use of personal protective equipment was more effective than the use of vaccination, whereas in Europe, the use of vaccination was more effective than personal protective equipment. From the simulations, the conclusion is that COVID-19 will end before the 3rd year in Ghana, before the 6th year in Kenya,...

Research paper thumbnail of Discussion on couple of nonlinear models for lie symmetry analysis, self adjointees, conservation laws and soliton solutions

Optical and Quantum Electronics

Research paper thumbnail of Chirped optical pulses for generalized longitudinal Lugiato Lefever: cubic nonlinear Schrödinger equation

Optical and Quantum Electronics

Research paper thumbnail of Developing Alternatives: Citizens Perspectives on Causes and the Ramifications of the 2003 Conflict in Darfur

International Journal of Conflict Management

This manuscript provides an alternative examination of the causes and the ramifications of the co... more This manuscript provides an alternative examination of the causes and the ramifications of the conflict in Darfur. The findings reveled the causes of the conflict to be religion, racial segregation, resources, geographical factors, the influx of weapons etc. and the ramifications are Genocide/Killing, Starvation, Rape, Fear and insecurity, Destruction of Property etc. The parties involved are Government forces, Janjaweed, USA, China Libya, Egypt etc. A purposive sampling technique was used to select 26 respondentswhich include, Diplomats, Civil Servants, Students and refugees. The instrument used for data collection was a semi-structured interview guide. It was conducted within the framework of ‘identity politics. The recommendation to the Sudanese Government is that the government has the following role to play: Protection of the civilian population by the Sudanese government. This can be done by: Publishing and disseminating orders eliminating the targeting of inhabitants, prope...

Research paper thumbnail of The explicit and traveling wave solutions of the nonlinear Phi-4 model and its implementations

International Journal of Modern Physics B

Analysis of simple analytical wave solutions to nonlinear evolution equations is a fascinating an... more Analysis of simple analytical wave solutions to nonlinear evolution equations is a fascinating and growing area of knowledge in highly nonlinear sciences. The Riccati equation rational expansion technique is being used in the paper to establish the exact traveling wave solutions of the Phi-4 model. We have investigated certain types of explicit solutions using this technique, such as periodic, hyperbolic, and rational solutions with some free parameters. The solitary wave solutions are derived from the traveling wave solutions when the parameters are set to particular values. In mathematical physics, it is discovered that the implemented technique is more effective for finding the analytical wave solution of nonlinear evolution models. The approach stands out for its simple and quick computation procedure.

Research paper thumbnail of The nonlinear Schrödinger equation with polynomial law nonlinearity: localized chirped optical and solitary wave solutions

Optical and Quantum Electronics

Research paper thumbnail of Generalized Euler Method for Modeling Measles with Fractional Differential Equations

International journal of innovative research and development, 2015

In this paper, a fractional order SIRV model with the rate of vaccination () and treatment () is ... more In this paper, a fractional order SIRV model with the rate of vaccination () and treatment () is formulated to describe measles disease. The fractional derivatives are described by Caputo's sense. A study of the effect of eradicating measles can be observed by varying the value of and . A Generalized Euler method (GEM) is considered in this paper to obtain an approximate solution of the model. The stability analysis of the equilibrium points is obtained. A numerical simulation of the solution is carried out and represented graphically.

Research paper thumbnail of The Stability Analysis of a Double-X Queuing Network Occurring in the Banking Sector

Mathematics, 2021

We model a common teller–customer interaction occurring in the Ghanaian banking sector via a Doub... more We model a common teller–customer interaction occurring in the Ghanaian banking sector via a Double-X queuing network consisting of three single servers with infinite-capacity buffers. The servers are assumed to face independent general renewal of customers and independent identically distributed general service times, the inter-arrival and service time distributions being different for each server. Servers, when free, help serve customers waiting in the queues of other servers. By using the fluid limit approach, we find a sufficient stability condition for the system, which involves the arrival and service rates in the form of a set of inequalities. Finally, the model is validated using an illustrative example from a Ghanaian bank.

Research paper thumbnail of A mathematical view towards improving undergraduate student performance and mitigating dropout risks

Nonlinear Analysis-Modelling and Control, 2021

In this paper, we assess the relevance of social and cognitive factors such as self-efficacy, loc... more In this paper, we assess the relevance of social and cognitive factors such as self-efficacy, locus of control and exposure to negative social influence in relation to undergraduate student dropout. To this purpose, we analyze a compartmental model involving a system of nonlinear ODEs, which is loosely based upon the SIR model of mathematical epidemiology and describes the academic performance of the student population. We examine threshold values that govern the stability of the equilibria and can be viewed as target values to be reached in order to alleviate undergraduate students dropout. A backward bifurcation is observed to occur, analytically and numerically, provided that certain conditions are satisfied. A sensitivity analysis is then performed to find how the threshold values respond to changes in the parameters, a procedure for estimating these parameters being also proposed. Concrete values are then computed using survey data from a Ghanaian university. The impact of para...

Research paper thumbnail of Explicit and traveling wave solutions of the non-linear couple Drinfeld-Sokolov-Wilson dynamical system arising in shallow water waves

Journal of King Saud University - Science, 2021

Abstract We efficaciously extended the ansatz in the Riccati equation rational expansion techniqu... more Abstract We efficaciously extended the ansatz in the Riccati equation rational expansion technique to a new broad form and is used to attain some new exact wave solutions for the couple non-linear Drinfeld-Sokolov-Wilson (DSW) system. This system arises in water waves, quantum mechanics, fluid mechanics, biology, chemistry etc. Several of the attained solutions which is in the shape of rational solitary wave solutions and periodic wave solutions are entirely new and could be vital for researchers to appreciate. Certain selected solutions are graphically verified by precise values allocated to constant parameters. This technique with the current ansatz can be implemented with a broader range of applicability to handle various other forms of non-linear evolution systems (NLES).

Research paper thumbnail of Application of Queueing Theory in Dispensation of Resources and Optimization in Teleconsultation

International Journal of Applied and Computational Mathematics, 2020

The common queueing problem in hospital has always focused on domestic and foreign specialist. Va... more The common queueing problem in hospital has always focused on domestic and foreign specialist. Various improved models of queueing theory are widely used to solve problems. Most of the existing research results focus on improving the efficiency of hospital outpatient service and operation on bed arrangement, and rarely involve the emerging phenomenon of long-distance consultation queueing. With the development of medical information, more patients will request for remote consultation in primary hospitals to obtain experts resources of bigger hospitals in the most convenient way. In cities where some telemedicine development is at the forefront, there has been a phenomenon of queueing for remote consultation, however, the special queueing phenomenon that patients do not appear in hospitals cannot be explained by existing queueing model. Hence a more suitable queueing model is needed. We deduced the following, according to the parameters, the queueing system of remote consultation is simulated. It is found that the queueing of internal medicine department is congested. By analyzing the number of consultation rooms and the influence of experts of internal medicine department on queueing length and queueing time, it is concluded that experts of internal medicine department need not change too much. This study enriches the theoretical optimization queueing problem in hospital management and provides an analysis and decision making method for perfecting the theory of hospital queueing and improving the efficiency of medical services.

Research paper thumbnail of Nonlinear incidence Human immunodeficiency virus infection model with optimal control

International Journal of Modern Physics B, 2020

Mathematical modeling plays a crucial role in understanding the dynamics of Human immunodeficienc... more Mathematical modeling plays a crucial role in understanding the dynamics of Human immunodeficiency virus (HIV) disease. Most models deal with the vertical and horizontal spread of disease, but few studies have focused on the evolutionary dynamics of HIV at the cellular level. In this paper, we present an HIV model to analyze the dynamics of HIV infection at the cellular level to produce more natural results. We present a detailed stability analysis of disease-free and viral-persistence equilibrium in the system. In addition, sensitivity analysis and optimal control strategies are used to analyze the role of antiretroviral drug therapy and dietary supplements in controlling the concentration of infected cells and viruses.

Research paper thumbnail of Propagation of traveling wave solutions for nonlinear evolution equation through the implementation of the extended modified direct algebraic method

Applied Mathematics-A Journal of Chinese Universities, 2020

In this work, different kinds of traveling wave solutions and uncategorized soliton wave solution... more In this work, different kinds of traveling wave solutions and uncategorized soliton wave solutions are obtained in a three dimensional (3-D) nonlinear evolution equations (NEEs) through the implementation of the modified extended direct algebraic method. Bright-singular and dark-singular combo solitons, Jacobi's elliptic functions, Weierstrass elliptic functions, constant wave solutions and so on are attained beside their existing conditions. Physical interpretation of the solutions to the 3-D modified KdV-Zakharov-Kuznetsov equation are also given. §1 Introduction Recently, some researchers have devoted themselves to the study of the exact solutions of several nonlinear evolution equations (NEEs), that play a critical part in explaining the characteristics of problems in areas of applied mathematics and mathematical physics. The nonlinear 3-D modified Korteweg-de Vries-Zakharov-Kuznetsov (mKdV-ZK) equation is a significant equation that has several physical occurrences also waves in nonlinear LC circuit through the mutual inductance between adjacent inductors, ion acoustic waves in plasma physics, fluid dynamics, nonlinear optic etc.[1, 2]. Attaining the exact and numerical solutions for NEEs shows a vital part in the research of physical occurrences and has progressively turned into critical and important responsibility. In contrast, the soliton and solitary wave solution of NEEs problems can help people understand these occurrences better than numerical solutions. Thus, the research of the soliton and solitary wave solutions of the NEEs plays a vital part in the learning of these physical occurrences, and various influential methods have been established to help find the exact solutions, for instance, the homotopy perturbation scheme, Bäcklund transformation, extended G (φ) G(φ)-expansion system, generalized algebraic scheme, Hirota's bilinear scheme, direct algebraic method, Jacobi elliptic function expansion scheme, inverse scattering

Research paper thumbnail of Jacobi Elliptic Function Solutions and Traveling Wave Solutions of the (2 + 1)‐Dimensional Gardner‐KP Equation

Mathematical Methods in the Applied Sciences, 2020

The fully integrable KP equation is one of the models that describes the evolution of nonlinear w... more The fully integrable KP equation is one of the models that describes the evolution of nonlinear waves, the expansion of the well‐known KdV equation, where the impacts of surface tension and viscosity are negligible. This paper uses the Modified Extended Direct Algebraic (MEDA) method to build fresh exact, periodic, trigonometric, hyperbolic, rational, triangular and soliton alternatives for the (2 + 1)‐dimensional Gardner KP equation. These solutions that we discover in this article will help us understand the phenomena of the (2 + 1)‐dimensional Gardner KP equation. Comparing the study in this paper and existing work, we find more exact solutions with soliton and periodic structures and the rational function solution in this paper is more general than the rational solution in existing literature. Most of the Jacobi elliptic function solutions and the mixed Jacobi elliptic function solutions to the (2 + 1)‐dimensional Gardner KP equation discovered in this paper, to the best of our ...