BASSEY E BASSEY | Kuban State University (original) (raw)

Papers by BASSEY E BASSEY

Scholars journal of physics, mathematics and statistics, Jan 17, 2023

Original Research Article Background: In this paper, an expanded 10-Dimensional deterministic mat... more Original Research Article Background: In this paper, an expanded 10-Dimensional deterministic mathematical dynamic model was formulated that accounted for the role of global stability analysis in the methodological application of dual-bilinear controls with vaccination and impeccable role of adaptive immune response in the control of COVID-19 in Nigeria. In reality, following the introduction of both nonpharmaceutical and pharmacotherapy and the recent availability of vaccines for the control and treatment of the deadly aerosol viral load known as COVID-19, a number of notable scientific investigations on the transmission and treatment dynamics have been conducted but without thoughtful contributions on the combination of these multi-facet control functions that could lead to feasible eradication of the deadly virus. Methods: The model was formulated based expanded 10-Dimensional deterministic dynamic mathematical subpopulations with compartmental interactions investigated using triple-bilinear control functions: bilinear nonpharmaceutical (face-masking and social distancing-1 u , 2 u), bilinear pharmacotherapies (hydroxylchloroquine and azithromycin-1 a , 2 a) and bilinear immunity controls (adaptive immune effectors and BNT162b2 vaccinei m , i v). Experimental Data was collected from University of Calabar Teaching Hospital from the period July, 2022 through September, 2022, as the initial and final time intervals. Apart from fundamental theory of differential equations explored for system mathematical properties, analytical predictions explored classical method of Lyapunov functions with the incorporation of the theory of Volterra-Lyapunov stable matrices for the analysis of the system global stability conditions. Results: System mass actions 10.159, 3.01 be RR   ). Moreso, off-treatment scenario showed that population extinction was eminent following the unabated exponential spread of the virus after 12 f t  days of asymptomatic infection period. Remarkably, with introduction of triple-bilinear controls, rapid rejuvenation of the susceptible and massive threshold of adaptive immune effectors was achieved at 20 f t  days with resultant high significant reduction to near-zero of viral load and docile COVID-19 environment. Contributions: The results of this findings are not only vital in epidemiological studies and applied mathematics but serve a useful source of decision and policy making in the control of COVID-19 and design control for the health sector in Nigeria.

Journal of Mathematics and Statistics

From the studies of HIV/AIDS transmission and treatment dynamics using mathematical modeling, lit... more From the studies of HIV/AIDS transmission and treatment dynamics using mathematical modeling, literature reviews have shown that attention had not been given to the behavioral attitude of screen-aware infectives not ready to receive treatment, HIV-aware infectives that initiated treatment but truncated only to resume treatment later (therapy abuse) and those on consistent treatment protocols. Moreso, following the non-outright eradication of the deadly HI-virus, recommendations have been geared towards exploring optimal control theory for the maximization of healthy uninfected CD4 + T-cells. Therefore, this present investigation seeks and formulated an optimal control 6-Dimensional deterministic mathematical dynamic model, which accounted for the Role of Antiretroviral Therapy (ART) abuse in the treatment dynamics of the HIV/AIDS epidemic. The materials and methods for this model are constituted by a set of 6-Dimensional varying subpopulations interacting with concentrated HI-viral load. Interactions are investigated using bilinear control functions (condom use and ART) with empirically generated data. The model assumed a deterministic approach and was formulated using the fundamental theory of differential equations. Theoretical optimal predictions explored classical numerical methods with optimal control techniques (Pontryagin's maximum principle in conjunction with Hessian matrix) as a basis. Numerical simulations were conducted using in-built Runge-Kutta of the order of precision 4 in a Mathcad surface. Following the derived model for both offoptimal control and onset-optimal control functions and model optimal control pair as well as model optimality system, results of simulations indicated that at off-optimal control function, near zero population extinction was observed. From the application of optimal control functions under optimal control techniques, there exists tremendous rejuvenation of susceptible populations vindicated by a reduction in the rate of ART abuse under a minimal proportion of bilinear control functions. The study concluded that adopting optimal control techniques for the investigation of the role of ART abuse in HIV/AIDS treatment yield highly significant recovery of healthy CD4 + T-Cells at minimal systemic cost when compared with off-optimal control outcome. Therefore, the study not only affirmed the vital concept of optimal control strategy but also, instituted the viability of the model. Thus, this model can be extensively used in Bio-system and applied mathematics.

In this paper, we proposed and formulated using ordinary differential equations a set of 4-Dimens... more In this paper, we proposed and formulated using ordinary differential equations a set of 4-Dimensional nonlinear mathematical dynamic Ebola model, which accounted for the impact and effectiveness of control intervention strategies for the prevention of transmission of Ebola virus. The model was presented as a SIER epidemics flow-chart with derived model transformed and analyzed using finite difference scheme. Analysis showed that control interventions are classified into four main categories. In-built Runge-Kutter of order of precision 4 in a Mathcad surface was utilized in the numerical simulations of derived model. Result of numerical computations indicated rapid contamination of susceptible population within 12 days of Ebola onset infection. Moreso, the interplay of primary through secondary control interventions led to significant control of infection epidemic within 10 days. The study therefore, suggests rapid implementation of intermediary and secondary intervention strategies...

Optimal Control Model for Pair Chemotherapy Treatment with Time-delay Immunity in Dual HIV-Infectivity

The seeming incurable status of HIV/AIDS and its associated virus infectivity had continuously le... more The seeming incurable status of HIV/AIDS and its associated virus infectivity had continuously led to series of scientific research, geared towards the amelioration of the increasing trend of the deadly disease. In this paper, a system of ordinary differential equations was used for the formulation of a 4-Dimensional mathematical dynamic HIV-pathogen model. The model was presented as optimal control problem, which accounted for the methodological pair chemotherapy treatment, with treatment factors clinically sandwiched in two temporal time-delay immunity chambers. The methodology of the model involved dual state infectious variables, pair treatment factors - reverse transcriptase inhibitors and protease inhibitors (RTI and PI), with immune system cells as vectors. The study explored numerical methods with analysis conducted using classical Pontryagin’s Maximum Principle. We proved that the model variables have non-negative solutions and as well, established the existence and uniquen...

В данной работе рассматривается математическая модель влияния несоблюдения профилактике ВИЧ/СПИДа... more В данной работе рассматривается математическая модель влияния несоблюдения профилактике ВИЧ/СПИДа среди гетерогенного населения, основанная на известную модель Kimbir et al (2006). Эффективность использования презервативов и последствия несоблюдения населением с профилактической меры (презерватив) являются целью данной научной работы. В этой работе, с определенными коэффициентами, нелинейных используется модель, которая состоит из системы шести дифференциальных уравнений для различных групп населения (шести группам населения) для получения модельных уравнений. По сравнению с существующей моделью Kimbir, предлагаемая модель с большой степени учитывает рождаемость изучаемого населения. Численное моделирование уравнений модели показывает, что сокращения скорости передачи ВИЧ/СПИДа могут быть эффективно достигнуты в течение определенного времени, и только там, где сравнительно высокая степень презерватив эффективность и высокий уровень соблюдения по восприимчивы и зараженным наблюдаются...

Optimal Control Theory for DeMutation of Dual HIV-Pathogen Infectivity

Late into the last quarter of the twentieth century, it has been witness an unprecedented crisis ... more Late into the last quarter of the twentieth century, it has been witness an unprecedented crisis in the human race following the discovery of the seeming insurmountable viral load (HIV) compounded by its emerging allies of pathogenic infectivity, which often transmute to the deadly AIDS resulting to lethal outcome. On the other hand, face with the problem of outright eradication of the disease, research scientists have resorted to mathematical modeling for formulation of dynamic approaches of understanding the disease transmission, methodological application of therapies via optimization control theory. Addressing the persistent optimal control problem of de-mutation of dual HIV-pathogen infections via multiple chemotherapy treatment in the presence of delay intracellular and cell-mediated immune effectors response, the present work is a collections of series articulated scientific publications of the very author and other research thinkers. The volume of the present text is subdivi...

Current Trends in Clinical & Medical Imaging, 2017

The objective of optimizing the model is the affordability of predicting infection early stage-ca... more The objective of optimizing the model is the affordability of predicting infection early stage-called 'set point", a vital breakthrough in treatment decision making [1,5]. Therefore,

Persistent condom use and significant adherent to antiretroviral therapy (ART) by heterosexual po... more Persistent condom use and significant adherent to antiretroviral therapy (ART) by heterosexual population is of paramount importance in the prevention and control of human immune deficiency virus (HIV) and acquired immune deficiency syndrome (AIDS). Using mathematical model, this paper proposed and studied the dynamics of the impacts of heterosexual use of condom in the presence of ART for the prevention and control of the spread of HIV/AIDS. Here, we incorporate in the existing model by Bassey and Lebedev (2015b), the use of two treatment factors (condom use and ART) by two sex population (susceptible and infected male and female population). This leads to a set of 8 nonlinear differential equations in 8 different groups of the population. The model as well, took into account, the natural birth rate of the population and focuses on the impact of bitherapeutic treatment of HIV/AIDS epidemic and the outcome of possible variations following the application of treatment factors by both...

International Journal of Scientific and Innovative Mathematical Research

Following the rising cases of high hospitalization versa-vise incessant fatality rates and the cl... more Following the rising cases of high hospitalization versa-vise incessant fatality rates and the close affinity of listeriosis with HIV/AIDS infection, which often emanates from food-borne pathogens associated with listeria monocytogenes infection, this present paper seek and formulated as penultimate model, an 8-Dimensional classical mathematical Equations which directly accounted for the biological interplay of dual listeriosis virions with dual set of population (human and animals). The model was studied under multiple chemotherapies (trimethoprimsulphamethoxazole with a combination of penicillin or ampicillin and/or gentamicin). Using ODE’s, the positivity and boundedness of system solutions was investigated with model presented as an optimal control problem. In the analysis that follows, the study explored classical Pontryagin’s Maximum Principle with which the model optimality control system as well as existence and uniqueness of the control system were established. In correlati...

International Journal of Scientific and Innovative Mathematical Research, 2017

Application of quantum locally optimal algorithm of successive approximation as a concept of nume... more Application of quantum locally optimal algorithm of successive approximation as a concept of numerical methods, which accounted for the mathematical simulations of human immune systems problems using varying optimization control strategies for immune processes and HI-virus infections were adequately

International Journal of Mathematical Sciences and Computing, Jul 8, 2018

In affirmation of the existence of control interventions for the eradication of Ebola virus infec... more In affirmation of the existence of control interventions for the eradication of Ebola virus infection as a remedy to complete lack of outright medical cure, the present study seek and formulated using continuous ordinary differential equations an extended BEB-SEIR 4-Dimensional mathematical Ebola dynamic model vested with the scope of establishing the epidemiological impact of identified structured Ebola control measures. Derived model was presented as an optimal control problem subjected to structured dual treatment functions. Moreso, following the validity of model state components as representatives of living organisms and the establishment of existence of boundedness of solutions; we performed our analysis using classical Pontryagin's maximum principle with which the optimality system of the model was established. Numerical simulations of derived model via Runge-Kutter of order 4 in a Mathcad surface were conducted. Result clearly indicated enhanced impact of intermediary and secondary control interventions as Ebola virus treatment functions with high significant maximization of susceptible population devoid of Ebola infection. Both the exposed and infectious classes were maximally reduced to near zero with possibilities of achieving complete eradication if time interval could be extended exceeding the 21days of Ebola life-cycle. Furthermore, recovery rate of removed class justified the formulation and application of the model. The study therefore suggests further articulation of the model to account for possible intracellular delay in the biological mechanism.

Journal of Mathematical Sciences: Advances and Applications

Affirming recent positive results for the possible eradications of dual HIVpathogen infectivity a... more Affirming recent positive results for the possible eradications of dual HIVpathogen infectivity as identified in the literature of this work, the present paper using ordinary differential equations sought and formulated an extended 8-dimensional mathematical dual delay HIV-pathogen dynamic model. The study seek and addressed the epidemiological dynamic optimal control for the application of dual-pair treatment functions following the interplay of dual delay HIV-pathogen infections with host target immune system cells. The novelty of this model is informed by the combination of dual chemotherapy and dual components of cytotoxic T-lymphocytes (CTLs) as dual-pair treatment functions in the presence of delay intracellular and intrinsic virulence index. We articulated the model as an optimal control problem and therefore, adopted classical Pontryagin's maximum principle of the optimal control theory for its analysis. System stability analysis was equally conducted and optimality system of model established. Using Runge-Kutta of order 4 in a Mathcad surface, model validity was numerically illustrated. Results emphatically indicated tremendous maximization of healthy T CD4 + cells and maximal sustainability of precursors and effectors of CTLs. Furthermore, elimination of both virions infected T-cells and infectious virions were achieved at faster time rate under minimized systemic cost and overall commercial value on chemotherapy acquisition established. The model thus, exhibited intellectual proceeding worthy of replication on other related infectious diseases.

Journal of Analytical & Pharmaceutical Research

In pursuant of some vital models for HIV dynamics and treatment progression, we identified and fo... more In pursuant of some vital models for HIV dynamics and treatment progression, we identified and formulated as penultimate model, a set of 7-Dimension classical mathematical model, which accounted for the dynamical interplay of dual HIVparasitoid pathogen infections on dual immune systems, studied using multiple chemotherapy cocktail in the presence of enhanced immune effectors response. The model was considered as a continuous multiple chemotherapy treatment (MCT) and as periodic multiple chemotherapy treatment (PMC), transformed to an optimal control problem. The positivity of the model state variables and stability properties was conducted. Deploying classical optimal control theory, the model used Pontryagin's maximum principle to investigate the existence of optimal control strategy, established the optimality control system and justified the uniqueness of the system solutions. Numerical methods were explored to numerically solve the existing model via Runge-Kutter -4 in a Mathcad surface. The result of the numerical analysis did not only identified PMC treatment as possible technique for the reduction of drug side-effects and suppression of dual HIV -pathogen infection by enhanced immune effectors response but largely established continuous MCT, which indicated complete elimination of dual HIVpathogen viruses and provided window for quantification of minimized systemic cost as a more formidable approach in tackling the menace of the of the deadly dual infectivity. Thus, a broader verification and application of the model to related infectious disease is therefore suggested.

Journal of Bioengineering & Biomedical Science

Following the insurmountable and seeming incurable status for the most acclaimed infectious disea... more Following the insurmountable and seeming incurable status for the most acclaimed infectious disease -HIV, and which have been worsened by its allies of infectious diseases, this paper projected using ordinary differential equations, a 4-Dimensional mathematical model that accounted for the percentage optimal benefits and the methodological application of chemotherapy -RTI, in the interaction of dual HIV-parasitoid pathogen infectivity with the human immune system. Simple analytical optimal control method was deployed, primed by the maximization of healthy immune system on the basis of control effect of chemotherapy on viruses' infectivity. Using Pontryagin's Maximum Principle, the study established the model dynamical optimal control as a composition of system state variables, coupled with four adjoint systems with corresponding initial and transversality conditions together with the optimal control function. The model was solved numerically and results indicated thus: benefits on cost function as highest when onset of infection were followed by high intensity chemotherapy schedule; while optimum control were achieved with prolong treatment administration. The study revealed that optimal control is a function of dynamic optimal weight factor and is independent of prolong treatment duration. The study therefore, advocates the incorporation of dual immunotherapies for the treatment of multiple virus infectivity.

Biomedical Journal of Scientific & Technical Research

The quest to actively draw the attention of research scientist to alternative approach for the er... more The quest to actively draw the attention of research scientist to alternative approach for the eradication of the menace of HIV and its associated pathogens, informed the decision of this present work. In this paper, we concentrated in the formulation of a set of classical improved 3-Dimensional mathematical model, using ordinary differential systems for the study of bi-linear interactions of two infectious variables (HIvirus and parasitoid-pathogen) with the human immune system, in the presence of multiple control pair treatment for the management and sustainability of low level viremia. The model were presented as an optimization control problem, primed by the maximization of uninfected CD4+ T cell count concentration under a minimized systemic cost, defined by the percentage of immunotherapies administered within a finite time interval. The method of analysis explored classical numerical methods known as Pontryagin's Maximum Principle, which led to establishment of model optimization control strategy; and the existence and uniqueness of the solution of the optimal control pair were critically viewed. Numerical computations of the model, using Runge Kutter of order 4, in a Math cad environment were demonstrated with novel precision results, which not only agreed with known existing models but also showed that the higher the amount of optimal weight factor, that enhances the toxicity of drugs; the earlier, efficient, faster and less amount of chemotherapies required for the maximization of healthy CD4+ T cell count concentration. The model justified the sustainability of low level viremia under set control chemotherapies. Thus, the methodology and use of multiple treatment factors as designed by this model is widely recommended for other related infectious diseases.

Applied Mathematics and Physics

In this paper, using ordinary differential equations, mathematical performance model was formulat... more In this paper, using ordinary differential equations, mathematical performance model was formulated to study the dynamics of pupil/students' performance in mathematics as a function of parental background, incorporating a number of environmental factors. The model considered 8 subgroups, which led to derivation of 8-Dimensional dynamic mathematical model for the study of students' performance in mathematics. Model analysis explored numerical methods and the computational simulations of the model indicated that the proportion of pupil/students' from parents with probability of transmission of hereditary and acquired intelligence exhibited high performance in the subject. However, under a cozy environmental factors, male pupil/students' possess more of acquired intelligence in mathematical, whereas, the females exhibited dominance and are sharper via hereditary intelligence. The model therefore, recommended devotion of attention and resources by parents on acquired intelligence of their pupil/students'; as well as both governmental and non-governmental agencies willingness to compliment efforts of parents in the provision of appropriate environment for the enhancement of pupil/students' performance in mathematics. Furthermore, the optimal control and broader predominant studying parameters for similar model is highly encouraged.

OALib, 2016

In this present paper, we proposed and formulated a quantitative approach to parametric identifia... more In this present paper, we proposed and formulated a quantitative approach to parametric identifiability of dual HIV-parasitoid-pathogen infectivity in a novel 5-dimensional algebraic identifiability HIV dynamic model, as against popular 3-dimensional HIV/AIDS models. In this study, ordinary differential equations were explored with analysis conducted via two improved developed techniques-the method of higher-order derivatives (MHOD) and method of multiple time point (MMTP), with the later proven to be more compatible and less intensive. Identifiability function was introduced to these techniques, which led to the derivation of the model identifiability equations. The derived model consists of twelve identifiable parameters from two observable state variables (viral load and parasitoid-pathogen), as against popular six identifiable parameters from single variable; also, the minimal number of measurements required for the determination of the complete identifiable parameters was established. Analysis of the model indicated that, of the twelve parameters, ten are independently identifiable, while only the products of two pairs of the remaining parameters (kβ and dδ) are identifiable. Validation and simulations of the model outcome were examined using well-known Runge-Kutter of order of precision 4, in Mathcad surface, with each parameter viewed as unknown and results discussed in stratified trend, which simplified the sequence of magnitude of the identifiable parameters. By the result, identifiable parameters were established which were core to a 5-D dual HIV dynamic model. Therefore, the study though centered on dual HIV-pathogen infectivity, its adoption for other nonlinear dynamic models was readily achievable.

OALib, 2016

Multiplicity of new cases of HIV/AIDS and its allied infectious diseases daunted by lack of prope... more Multiplicity of new cases of HIV/AIDS and its allied infectious diseases daunted by lack of proper parametric estimation necessitated this present work. Formulated using ordinary differential equation was a five-dimensional (5D) differential mathematical model with which compatibility of optimal control strategy for dual (viral load and parasitoid-pathogen) infectivity in the blood plasma was investigated. Discretization method indicated the incompatibility of the model due to large error derivatives. The study using numerical method established treatment set point with which we explored the variation of predominant model parameters and thereof investigated the maximization of uninfected healthy CD4 + T cell count as well as the de-replication of viruses following the consistent administration of reverse transcriptase inhibitor from set point. Presented was a series of numerical calculations obtained using well-known Runge-Kutter of order of precision 4, in Mathcad platform. Analysis of simulated parameters showed that distortion of replication viruses and de-transmutation of susceptible CD4 + T cells by viruses via chemotherapy led to restoration and gradual increase of healthy blood plasma, with near zero declination of both viral load and parasitoid-pathogen within chemotherapy validity time frame. The model was worthy in the study of treatment analysis of dual HIV-pathogen infection and thereof recommended for other related dual infectious diseases.

Scholars journal of physics, mathematics and statistics, Jan 17, 2023

Journal of Mathematics and Statistics

Optimal Control Model for Pair Chemotherapy Treatment with Time-delay Immunity in Dual HIV-Infectivity

Optimal Control Theory for DeMutation of Dual HIV-Pathogen Infectivity

Current Trends in Clinical & Medical Imaging, 2017

International Journal of Scientific and Innovative Mathematical Research

International Journal of Scientific and Innovative Mathematical Research, 2017

International Journal of Mathematical Sciences and Computing, Jul 8, 2018

Journal of Mathematical Sciences: Advances and Applications

Journal of Analytical & Pharmaceutical Research

Journal of Bioengineering & Biomedical Science

Biomedical Journal of Scientific & Technical Research

Applied Mathematics and Physics

OALib, 2016

Среди ряда профилактических мер, использование презерватива в той или иной мере рекомендовано в к... more Среди ряда профилактических мер, использование презерватива в той
или иной мере рекомендовано в качестве основного инструмента для искоренения ВИЧ/СПИД
инфекции. Тем не менее, не 100% эффективности и неправильного использования презерва-
тива, привело к совместному приложению с некоторыми определенными мерами. В данной
работе, с помощью математической модели, сформулировано и исследовано влияние исполь-
зования презерватива и постоянной комплексной консультации, как два основных фактора
лечения для профилактики распространения ВИЧ/СПИДа в гетеросексуальной популяции.
Также в предложенной модели использовано нелинейное дифференциальное уравнение в 10
разных групп населения. Исследование было проведено в четырех различных ситуациях: без
всяких меры; только чувствительные мужчины и женщины, а также инфекционные муж-
чины, использующие только презервативы; чувствительные и зараженные мужчины и жен-
щины, использующие только презервативы; и когда зараженные мужчины и женщины, ис-
пользующие только презервативы и они постоянно получают консультации. Модель была в
дальнейшем рассматривать и лечить как две подмодели самцов и самок подгруппы, следую-
щие аналогичные терапевтические условия. Стабильность и численный анализ были прове-
дены. Результаты показывают, что заболевание-бесплатная равновесное состояние явля-
ется локально асимптотически устойчиво тогда
1 0 R 
и локально асимптотически устой-
чивым, если
1 0 R 
.. Глобальной стабильности в динамике заболевания была также создана
с помощью Lyaponov функции. Результаты численного моделирования находятся в согласии
с расчетом на устойчивость. Модель рекомендует последовательное и логичное распростра-
нение консультации для обоих восприимчивых и инфицированных как дополняющий использо-
вание презервативов в искоренении ВИЧ/СПИДа.

Following the overwhelming success of recent three articles of this very author and a host of oth... more Following the overwhelming success of recent three articles of this very author and a host
of other scientific thinkers, the text in this material have been proposed and formulated as an
optimal control theory, which accounted for the de-mutation of dual HIV-pathogen infections.
The study consists of three faceted sets of classical mathematical models primed with the
investigations of the methodological de-mutation of dual HIV-pathogenic infectivity on host
target immune systems following clinical application of multiple chemotherapies and in the
presence of delay intracellular and cell-mediated immune effectors responses. The concepts of
optimal control was applied and under varying conditions, the ODEs of the models were
transmuted to optimal control problems with analyzes conducted using classical numerical
methods 􀂱 􀁗􀁋􀁈􀀃􀀳􀁒􀁑􀁗􀁕􀁜􀁄􀁊􀁌􀁑􀂶􀁖􀀃􀁐􀁄􀁛􀁌􀁐􀁘􀁐􀀒􀁒􀁕􀀃􀁐􀁌􀁑􀁌􀁐􀁘􀁐􀀃􀁓􀁕􀁌􀁑􀁆􀁌􀁓􀁏􀁈􀀑􀀃􀀵􀁘􀁑􀁊􀁈-Kutter of order of precision
4 in a Mathcad surface was explored in the numerical simulations. Results clearly indicated that
maximization of healthy CD4+ T-lymphocytes and macrophages is a dynamic under drugs
validity period. The critical role of cell-mediated immune response and delay intracellular were
verified as key components to the rapid de-mutations of viral load and parasitoid-pathogen.
Furthermore, the concentration of healthy CD4+ T-lymphocytes is shown as function of imposed
upperbounds on treatment function. Moreso, significant minimization of systemic cost is highest
and dependent on prolong application of chemotherapy, whereas benefits on cost is highest with
early initiation of high intensity drugs at infection set-point. Ideally, the entire text is an
intellectual source in the areas of medical sciences and physical and applied sciences. The study
inconceivably offers innovative approaches to be explore for other related infectious diseases.

The text in this work is an embodiment of descriptive process of mathematical models for the dy... more The text in this work is an embodiment of descriptive process of mathematical models for the dynamics of the treatment of HIV infection, carefully constructed to formulate and investigate a more convincing approach in the sustainability of persistent low level viremia plasma. In reality, in the absence of outright cure for HIV-1 infection, preventive and suppressive management of the dreaded disease have been through condom use and consistent effort in overcoming virologic failure via the application of highly active antiretroviral therapy (HAART). The study consist of a set of formulated mathematical models, using bi-associative clinical therapeutic factors to proffer better treatment and suppression of viremia plasma load (vpL) below sensitivity limit of clinical assay. Implored in this study, was non-linear ordinary differential equation. The analyses of the results were as follows: at no treatment measure, the entire population was contaminated at the earliest of 5 years with HIV infection, following virologic failure. Moderate application of viremia treatment at, in the presence of low condom use; saw a remarkable sustainability of viremia level with infected patients surviving a life span of about 30-33years. Intensification of viremia treatment at of HAART under enhanced condom use, indicated tremendous outcome with infected patients living a much healthier live and surviving well over 33 years from the onset of infection. Further analysis of the result showed that viremia suppression is more rewarding if treatments are initiated at onset of infection and with high toxicity Chemotherapy. The model recommended caution in treatment schedules to avert drug-resistance side-effect.