Browsing by Author "Olopade, I.A."

Now showing 1 - 4 of 4
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    Mathematical Analysis Of Effect Of Area On The Dynamical Spread Of Measles
    (IOSR Journal of Engineering, 2014-03) Adewale, S.O.; Mohammed, I.T.; Olopade, I.A.
    This paper presents a robust compartmental mathematical model of (SVEIR) which incorporated area only. Where this area is the size of the environment where the study is being investigated. It shows that model has a disease free equilibrium which is globally asymptotically stable (GAS). There exists a unique endemic equilibrium point which is locally stable whenever the association threshold quantity (R0) exceeds unity i.e. R0 > 1. We solved the model numerically using Runge-kutta of order four (4). It is shown that as the area is increasing the total number of infected individual is decreasing. This implies that to reduce the spread of measles, measles patients are to be kept separately for treatment so as to reduce the effective contract rate. The results were presented graphically
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    Mathematical and Sensitivity Analysis of Efficacy of Condom on the Transmission of Gonorrhea Disease
    (Imperial Journal of Interdisciplinary Research (IJIR), 2016) Adesanya, Adelani Olatunde; Olopade, I.A.; Akanni, John Olajide; Oladapo, Asim Olalekan; Omoloye, Musibau Abayomi
    Four (4) deterministic epidemiological model of (S, E, I, R) is studied to gain insight into the efficacy and compliance of condom on the dynamical spread of Gonorrhea disease. Positivity solution is analyzed for mathematical and epidemiological posedness of the model. Local and global stability of the model are explored for disease-free and endemic equilibria. Sensitivity analysis is performed on the basic reproduction number to check the importance of each parameter on the transmission of gonorrhea disease. Numerical simulation is analyzed by MAPLE 18 software using embedded Runge-Kutta method of order (4) which shows the effect of condom on the prevention/control of Gonorrhea disease.
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    SOLVING RICCATI EQUATION USING ADOMIAN DECOMPOSITION METHOD
    (International Journal of Pure and Applied Mathematics, 2012-03) Gbadamosi, B.; Adebimpe, O.; Akinola, E.I.; Olopade, I.A.
    Riccati equation with variable coefficient and constant coefficient is considered. The numerical method based on the Adomian decomposition is introduced to obtained results and compared with the exact solution to show that the Adomian decomposition method is a powerful method for the solution of nonlinear differential equations. The results obtained are presented and show only few term are required to obtain an approximate solution.
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    Sumudu Transform Series Decomposition Method for Solving Nonlinear Volterra Integro-Differential Equations
    (International Journal of Innovation and Applied Studies, 2016-10) Akinola, E.I.; Olopade, I.A.; Akinpelu, F.O.; Areo, A.O.; Oyewumi, A.A.
    In this paper, Sumudu Transform Series Decomposition Method (STSDM) for solving Integro-Differential Equation is presented. The method is an elegant combination of Sumudu Transform method, series expansion and Adomian polynomial. Three numerical problems were solved and compared with the exact solutions and the results by other approximate methods in order to check the effectiveness, reliability, accuracy, and the convergence of the method. The results obtained by STSDM showed that it is a powerful mathematical technique for solving wide range of physical problems arising in science and engineering fields.