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

 Comparison of Saturation Term and Disease Induced in Sir Epidemic Model

 Kolawole, M.K., Ogundeji, O. D. and Popoola, A.O.
Department of Mathematical Sciences, Osun State University, Osogbo, Nigeria

Abstract: -The paper considered a SIR epidemic model having saturation terms and disease induced death which were neglected in the previous literature. We determine the basic reproduction number of the modified models by Linearization method. We also investigate the effect of disease induced death by providing Numerical Simulation using Runge-kutta of order 4 method. The results show that saturation term has an appreciable effect than disease induced death on the epidemic model.
Keywords: Basic Reproduction Number, Endemic Equilibrium, Disease induced death, Local Stability.

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