Browsing by Author "Mohammed, I. T."

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    Mathematical Analysis of Sensitive Parameters on the Dynamical Spread of HIV
    (International Journal of Innovative Research in Science, Engineering and Technology, 2016-05) Adewale, S. O.; Olopade, I. A.; Ajao, S. O.; Mohammed, I. T.
    Sensitivity analysis was performed on a mathematical model of Human Immunodefiency Virus (HIV) to determine the gauge and importance of each parameter to basic reproduction number in the dynamical spread of the disease. The threshold basic reproduction number , 0 R which is the average number of secondary infection generated by infected individuals in his or her infectious period was calculated using next generation matrix method, which shows that, the disease dies out when R0  1, and the disease will persist and spread when 1 0 R  .The relative sensitivity analysis was computed for all the parameters in the basic reproduction number, which shows the influence of each parameter in the dynamical spread of the disease. Numerical sensitivity reveals that effective contact rate and progressor rate are the most sensitive parameters in the basic reproduction number. This analysis will help the medical practitioners and policy health makers to know the best control intervention strategies to be adopted in order to reduce dynamical spread of Human Immunodefiency Virus (HIV) in the community
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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.