Mathematical model for the control of infectious disease

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Date

2018-05-03

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African Journals Online (AJOL)

Abstract

We proposed a mathematical model of infectious disease dynamics. The model is a system of first order ordinary differential equations. The population is partitioned into three compartments of Susceptible S(t) , Infected I(t) and Recovered R(t). Two equilibria states exist: the disease-free equilibrium which is locally asymptotically stable if Ro < 1 and unstable if Ro > 1. Numerical simulation of the model shows that an increase in vaccination leads to low disease prevalence in a population.

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Keywords

Infectious Disease, Equilibrium States, Basic Reproduction Number

Citation

O. J. Peter, O. B. Akinduko, F. A. Oguntolu & C. Y. Ishola. (2018): Mathematical Model for the Control of Infectious Disease. Journal of Applied Sciences and Environmental Management. (22)4 :447-451 http://dx.doi.org/10.4314/jasem.v22i4.1

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