Okoro Joshua | Landmark University (original) (raw)

Papers by Okoro Joshua

Waiting on a queue is not usually interesting, but reduction in this waiting time usually require... more Waiting on a queue is not usually interesting, but reduction in this waiting time usually requires planning and extra investments. Queuing theory was developed to study the queuing phenomenon in the commerce, telephone traffic, transportation, etc [Cooper (1981), ]. The rising population and health-need due to adverse environmental conditions have led to escalating waiting times and congestion in hospital Emergency Departments (ED). It is universally acknowledged that a hospital should treat its patients, especially those in need of critical care, in timely manner. Incidentally, this is not achieved in practice particularly in government owned health institutions because of high demand and limited resources in these hospitals. In this paper, we develop the equations of steady state probabilities. Example from a out-patient department of a clinic was presented to demonstrate how the various parameters of the model influence the behavior of the system.

It is true that when infections occur there might not be recovery. In this case either infections... more It is true that when infections occur there might not be recovery. In this case either infections will occur or will do not occur. When measures are put in place to reduce the rate of infection, there might be a tendency for this rate to have an effect on the growth of the infection. When this rate is not checked the whole population might get infected with time. In this work we use the birth-death process to describe a simple but classical infection processes, recovery processes, infection and recovery processes and finally, infection and recovery with immigration processes. For each of these processes explicit formulas are derived for their probability distributions and moment generating functions. We formulate a general infection and recovery process. The conditions for existence of a unique stationary probability for this general infection and recovery process is stated. A density-dependent infection and recovery process is formulated. A quasi-stationary probability distribution is defined, where the process is conditioned on non-extinction.We note here that the infection process has Negative Binomial Distribution and recovery process has a Binomial Distribution.

Programming whereby we investigate and examine the cost invested and as well as cost of producing... more Programming whereby we investigate and examine the cost invested and as well as cost of producing each poultry farm products and the turn over for the same products in other to find the trend of its' production and predict the possible economics future using Simple Linear programming for an effective decision making in Landmark University poultry farm production.

The global stability of a SEIR epidemic model with saturating incidence rate is investigated. A t... more The global stability of a SEIR epidemic model with saturating incidence rate is investigated. A threshold R 0 is identified which determines the outcome of the disease. If

The Tietz-Hua potential is modified by the inclusion of D e C h À1 1ÀC h e Àb h rÀre ð Þ be Àb h ... more The Tietz-Hua potential is modified by the inclusion of D e C h À1 1ÀC h e Àb h rÀre ð Þ be Àb h rÀr e ð Þ term to the Tietz-Hua potential model since a potential of such type is very good in the description and vibrational energy levels for diatomic molecules. The energy eigenvalues and the corresponding eigenfunctions are explicitly obtained using the methodology of parametric Nikiforov-Uvarov. By putting the potential parameter b ¼ 0; in the modified Tietz-Hua potential quickly reduces to the Tietz-Hua potential. To show more applications of our work, we have computed the Shannon entropy and Information energy under the modified Tietz-Hua potential. However, the computation of the Shannon entropy and Information energy is an extension of the work of Falaye et al., who computed only the Fisher information under Tietz-Hua potential.

The approximate analytical solutions of the Schrӧdinger equation for Eckart potential is obtained... more The approximate analytical solutions of the Schrӧdinger equation for Eckart potential is obtained via supersymmetry shape invariance approach. The energy equation and the corresponding wave function are obtained in a closed and compact form. The wave function was used to calculate the Rényi entropy. The results of the Rényi entropy was used to study the mass energy parameter, temperature and heat capacity of the black hole. From the results obtained, the temperature of the black hole becomes stable as the two Eckart potential parameters increases respectively.

In this study, the approximate analytical solutions of the relativistic Klein-Gordon equation in ... more In this study, the approximate analytical solutions of the relativistic Klein-Gordon equation in the spatial dimensions with unequal Coulomb-inverse Trigonometry scarf scalar and vector potentials for an effective mass function is investigated in the framework of supersymmetric and shape invariance method by employing a suitable approximation scheme to the centrifugal term. The energy equation for some special cases such as the Coulomb potential and inverse Trigonometry scarf potential are obtained. Using a certain transformation, the non-relativistic energy equation is obtained which is identical to the energy equation of the Hellmann potential.

The approximate analytical solutions of the non-relativistic Schrӧdinger equation with a combinat... more The approximate analytical solutions of the non-relativistic Schrӧdinger equation with a combination of three potentials in any arbitrary   states is solved using a suitable approximation scheme to the centrifugal barrier. The energy eigenvalue equation and the corresponding wave function are obtained in a closed and compact form using the powerful methodology of parametric Nikiforov-Uvarov method. By changing the numerical value of each of the potential strength, we deduced the energy equation for some well-known poten als. Using MATLAB 7.5.0.342 programing, we obtained the numerical results for each of the deduced potential. It is observed that the numerical results for each of these potentials are equivalent. Finally, we observed that the strength of the Coulomb potential and that of the Yukawa potential have the same effects on the energy.

The approximate analytical solutions of the non-relativistic Schrӧdinger equation for the Attract... more The approximate analytical solutions of the non-relativistic Schrӧdinger equation for the Attractive potential model with the centrifugal term are investigated using the elegant methodology of the parametric Nikiforov-Uvarov. The energy equation and the corresponding un-normalized radial wave functions are obtained in a close and compact form after a proper Greene-Aldrich approximation scheme is applied. By changing the numerical values of some potential strengths, special cases of the Attractive potential are investigated in detail. The effects of the potential strengths and potential range respectively on the energy are also studied. The energy is found to be very sensitive to each of the potential parameters. Some theoretic quantities such as information energy, Rẻnyi entropy and Tsallis entropy. Approximate eigensolutions of the attractive potential via parametric Nikiforov-Uvarov method.

Markovian queueing model has so many application in real life situations. Places where Markovian ... more Markovian queueing model has so many application in real life situations. Places where Markovian queueing model can be applied include, Supermarket, Production system, Post office, data communication, parking place, assembly of printed circuit boards, call center of an insurance company, main frame computer, toll booths, traffic lights, e.t.c. Birth-death process has being markovian foundation on queueing models. This article is an eye opener to novice researchers, since it explore Markovian queueing model in real life situation. The fundamental of Markovian Queueing model as birth and death process is hereby reviewed in this article, with fundamental results applications in M / M / 1, M / M / S, M / M / 1/ K , and M / M / s / K. Here we reexamined; Average Number of Customers and average number of time in the system, waiting in the queue, in service respectfully. These summaries of these results are also tabulated.

The approximate bound state of the nonrelativistic Schrӧdinger equation was obtained with the mod... more The approximate bound state of the nonrelativistic Schrӧdinger equation was obtained with the modified trigonometric scarf type potential in the framework of asymptotic iteration method for any arbitrary angular momentum quantum number l using a suitable approximate scheme to the centrifugal term. The effect of the screening parameter and potential depth on the eigenvalue was studied numerically. Finally, the scattering phase shift of the nonrelativistic Schrӧdinger equation with the potential under consideration was calculated.

Waiting on a queue is not usually interesting, but reduction in this waiting time usually require... more Waiting on a queue is not usually interesting, but reduction in this waiting time usually requires planning and extra investments. Queuing theory was developed to study the queuing phenomenon in the commerce, telephone traffic, transportation, etc [Cooper (1981), ]. The rising population and health-need due to adverse environmental conditions have led to escalating waiting times and congestion in hospital Emergency Departments (ED). It is universally acknowledged that a hospital should treat its patients, especially those in need of critical care, in timely manner. Incidentally, this is not achieved in practice particularly in government owned health institutions because of high demand and limited resources in these hospitals. In this paper, we develop the equations of steady state probabilities. Example from a out-patient department of a clinic was presented to demonstrate how the various parameters of the model influence the behavior of the system.

It is true that when infections occur there might not be recovery. In this case either infections... more It is true that when infections occur there might not be recovery. In this case either infections will occur or will do not occur. When measures are put in place to reduce the rate of infection, there might be a tendency for this rate to have an effect on the growth of the infection. When this rate is not checked the whole population might get infected with time. In this work we use the birth-death process to describe a simple but classical infection processes, recovery processes, infection and recovery processes and finally, infection and recovery with immigration processes. For each of these processes explicit formulas are derived for their probability distributions and moment generating functions. We formulate a general infection and recovery process. The conditions for existence of a unique stationary probability for this general infection and recovery process is stated. A density-dependent infection and recovery process is formulated. A quasi-stationary probability distribution is defined, where the process is conditioned on non-extinction.We note here that the infection process has Negative Binomial Distribution and recovery process has a Binomial Distribution.

Programming whereby we investigate and examine the cost invested and as well as cost of producing... more Programming whereby we investigate and examine the cost invested and as well as cost of producing each poultry farm products and the turn over for the same products in other to find the trend of its' production and predict the possible economics future using Simple Linear programming for an effective decision making in Landmark University poultry farm production.

The global stability of a SEIR epidemic model with saturating incidence rate is investigated. A t... more The global stability of a SEIR epidemic model with saturating incidence rate is investigated. A threshold R 0 is identified which determines the outcome of the disease. If

The Tietz-Hua potential is modified by the inclusion of D e C h À1 1ÀC h e Àb h rÀre ð Þ be Àb h ... more The Tietz-Hua potential is modified by the inclusion of D e C h À1 1ÀC h e Àb h rÀre ð Þ be Àb h rÀr e ð Þ term to the Tietz-Hua potential model since a potential of such type is very good in the description and vibrational energy levels for diatomic molecules. The energy eigenvalues and the corresponding eigenfunctions are explicitly obtained using the methodology of parametric Nikiforov-Uvarov. By putting the potential parameter b ¼ 0; in the modified Tietz-Hua potential quickly reduces to the Tietz-Hua potential. To show more applications of our work, we have computed the Shannon entropy and Information energy under the modified Tietz-Hua potential. However, the computation of the Shannon entropy and Information energy is an extension of the work of Falaye et al., who computed only the Fisher information under Tietz-Hua potential.

The approximate analytical solutions of the Schrӧdinger equation for Eckart potential is obtained... more The approximate analytical solutions of the Schrӧdinger equation for Eckart potential is obtained via supersymmetry shape invariance approach. The energy equation and the corresponding wave function are obtained in a closed and compact form. The wave function was used to calculate the Rényi entropy. The results of the Rényi entropy was used to study the mass energy parameter, temperature and heat capacity of the black hole. From the results obtained, the temperature of the black hole becomes stable as the two Eckart potential parameters increases respectively.

In this study, the approximate analytical solutions of the relativistic Klein-Gordon equation in ... more In this study, the approximate analytical solutions of the relativistic Klein-Gordon equation in the spatial dimensions with unequal Coulomb-inverse Trigonometry scarf scalar and vector potentials for an effective mass function is investigated in the framework of supersymmetric and shape invariance method by employing a suitable approximation scheme to the centrifugal term. The energy equation for some special cases such as the Coulomb potential and inverse Trigonometry scarf potential are obtained. Using a certain transformation, the non-relativistic energy equation is obtained which is identical to the energy equation of the Hellmann potential.

The approximate analytical solutions of the non-relativistic Schrӧdinger equation with a combinat... more The approximate analytical solutions of the non-relativistic Schrӧdinger equation with a combination of three potentials in any arbitrary   states is solved using a suitable approximation scheme to the centrifugal barrier. The energy eigenvalue equation and the corresponding wave function are obtained in a closed and compact form using the powerful methodology of parametric Nikiforov-Uvarov method. By changing the numerical value of each of the potential strength, we deduced the energy equation for some well-known poten als. Using MATLAB 7.5.0.342 programing, we obtained the numerical results for each of the deduced potential. It is observed that the numerical results for each of these potentials are equivalent. Finally, we observed that the strength of the Coulomb potential and that of the Yukawa potential have the same effects on the energy.

The approximate analytical solutions of the non-relativistic Schrӧdinger equation for the Attract... more The approximate analytical solutions of the non-relativistic Schrӧdinger equation for the Attractive potential model with the centrifugal term are investigated using the elegant methodology of the parametric Nikiforov-Uvarov. The energy equation and the corresponding un-normalized radial wave functions are obtained in a close and compact form after a proper Greene-Aldrich approximation scheme is applied. By changing the numerical values of some potential strengths, special cases of the Attractive potential are investigated in detail. The effects of the potential strengths and potential range respectively on the energy are also studied. The energy is found to be very sensitive to each of the potential parameters. Some theoretic quantities such as information energy, Rẻnyi entropy and Tsallis entropy. Approximate eigensolutions of the attractive potential via parametric Nikiforov-Uvarov method.

Markovian queueing model has so many application in real life situations. Places where Markovian ... more Markovian queueing model has so many application in real life situations. Places where Markovian queueing model can be applied include, Supermarket, Production system, Post office, data communication, parking place, assembly of printed circuit boards, call center of an insurance company, main frame computer, toll booths, traffic lights, e.t.c. Birth-death process has being markovian foundation on queueing models. This article is an eye opener to novice researchers, since it explore Markovian queueing model in real life situation. The fundamental of Markovian Queueing model as birth and death process is hereby reviewed in this article, with fundamental results applications in M / M / 1, M / M / S, M / M / 1/ K , and M / M / s / K. Here we reexamined; Average Number of Customers and average number of time in the system, waiting in the queue, in service respectfully. These summaries of these results are also tabulated.

The approximate bound state of the nonrelativistic Schrӧdinger equation was obtained with the mod... more The approximate bound state of the nonrelativistic Schrӧdinger equation was obtained with the modified trigonometric scarf type potential in the framework of asymptotic iteration method for any arbitrary angular momentum quantum number l using a suitable approximate scheme to the centrifugal term. The effect of the screening parameter and potential depth on the eigenvalue was studied numerically. Finally, the scattering phase shift of the nonrelativistic Schrӧdinger equation with the potential under consideration was calculated.