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Home  >  Transactions of NAMP VOL.9

5. EFFECT OF DISEASE TRANSMISSION COEFFICIENT ON SEIR EPIDEMIC MODEL WITH SATURATED INCIDENCE RATE by Kolawole M.K. and Michael E. Volume 9, (March and May, 2019)
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EFFECT OF DISEASE TRANSMISSION COEFFICIENT ON SEIR EPIDEMIC MODEL

WITH SATURATED INCIDENCE RATE

Kolawole M.K. and Michael E.

Department of Mathematical Sciences, Osun State University, Osogbo, Osun State, Nigeria.

Abstract

In this paper, the numerical simulation of a Susceptible-Exposed-Infected-Recovered

(SEIR) epidemic model with saturated incidence rate including saturation term for the

susceptible individuals was analyzed.

The local and global stabilities of both disease free and endemic equilibrium were also

investigated. The effect of transmission coefficient was also analyzed using Runge

Kutta of order 4 for the numerical analysis.

Keywords: Basic Reproduction Number, Local and Global Stabilities, Disease free equilibrium, Disease transmission Coefficient.

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