Browsing by Author "Ajao, S.O."

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    MATHEMATICAL ANALYSIS OF LASSA FEVER MODEL WITH ISOLATION
    (Asian Journal of Natural & Applied Sciences, 2016-09) Adewale, S. O.; Olopade, I. A.; Ajao, S.O.; Adeniran, G. A.; Oyedemi, O. T.
    In this paper, a mathematical model with isolation of infected individuals for the transmission of Lassa fever is developed and analyzed. We obtained the basic reproduction number o R which is the average number of new secondary infection generated by a single infected individual/rat during infectious period. The analysis shows that the disease free equilibrium is locally and globally asymptotically stable whenever the threshold quantity o R is less than unity i.e. R 1 o  . The endemic equilibrium of the model exists under certain condition. The numerical analysis carried out using MAPLE 17 software. The result shows that the isolation of infected individuals reduces the dynamical spread of Lassa as there will be less interaction with the infected individual in the society, the result also shows that treatment of infected-isolated individuals gives a better result which means that government should intensify effort in isolation and the treatment of isolated-infected individuals in order to control the spread of the disease.
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    MATHEMATICAL AND SENSITIVITY ANALYSIS OF THE DYNAMICAL SPREAD OF CHOLERA
    (International Journal of Innovation and Applied Studies, 2017-01) Adewale, S. O.; Adeniran, G. A.; Olopade, I. A.; Ajao, S.O.; Mohammed, I. T.
    Sensitivity analysis was performed on the mathematical model of Cholera to determine the influence and importance of each parameter on the basic reproduction number (R0) in the dynamical spread of Cholera. Basic Reproduction Number (R0) was obtained using next generation matrix method (NGM). The disease free equilibrium was analyzed for stability and the analysis shows that the disease free equilibrium point is globally asymptotically stable whenever the basic reproduction number is less than unity i.e (R0<1). Also, there exist endemic equilibrium points of the model whenever R0>1. The relative sensitivity indices of the model with respect to each parameter in the basic reproduction number is calculated in order to find the most sensitive parameter which the medical practitioners and policy health makers should work on in order to reduce the spread of cholera in the society. The result shows that effective contact rate and fraction of individuals with low immunity are the most sensitive parameters in the reproduction number. Numerical simulation was carried out by MAPLE 17 software using Runge-kutta method of order four to show the effects of contact rate and fraction of individuals with low immunity in the dynamical spread of Cholera. This work will allow the health policy makers to know the best control measure to be adopted in order to have disease free environment.
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    OPTIMAL CONTROL ANALYSIS OF THE DYNAMICAL SPREAD OF MEASLES
    (International Journal of Research - GRANTHAALAYAH, 2016-05) Adewale, S. O.; Olopade, I. A.; Ajao, S.O.; Adeniran, G. A.
    In this paper, a five (5) compartmental model is presented to study the transmission dynamics of Measles in a population at any point in time. The model is rigorously analyzed to gain insight into the dynamical features of Measles and also, optimal control theory is applied to give an optimality system which we used to minimize the number of infected individuals and propose the most suitable control strategy for the spread of measles. It is shown that the model has a diseases free equilibrium which is globally asymptotically stable (GAS). Also, there exists a unique endemic equilibrium point which is locally stable whenever the associated threshold quantity exceeds (one) unity. We also show that there exists a solution for the optimality system. From the result, it was observed that vaccine control strategy is more efficient in reducing the number of infected individuals as compared to other control strategies.