On The Analysis of Saturation Terms on Mathematical Models for Malaria Transmission

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International Journal of Research and Innovation in Applied Science (IJRIAS) | Volume V, Issue III, January 2020 | ISSN 2454–6186

 On The Analysis of Saturation Terms on Mathematical Models for Malaria Transmission

 Kolawole, M.K. and Adeniyi, A.A.
Department of Mathematical Sciences, Osun State University, Osogbo, Nigeria

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Abstract: – In this paper, the behavior of saturation term on malaria transmission was investigated.Basic reproduction number of the modified models was found using next generation matrix. Theorems were also used to prove the disease free and endemic equilibria with Local and Global Stabilities. Numerical Simulation of the effect of the sociological and psychological parameters or other mechanisms was done for both human and vectors using Runge-Kutta of order 4 method. Our results reveal that for proper treatment and eradication of malaria, saturation term and other factors cannot be over emphasized.
Keywords: Saturation Term, Local and Global Stabilities, Basic Reproduction Number, Endemic Equilibrium.