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Journal of Applied Sciences and Environmental Management
World Bank assisted National Agricultural Research Project (NARP) - University of Port Harcourt
ISSN: 1119-8362
Vol. 22, No. 4, 2018, pp. 447-451
Bioline Code: ja18078
Full paper language: English
Document type: Research Article
Document available free of charge

Journal of Applied Sciences and Environmental Management, Vol. 22, No. 4, 2018, pp. 447-451

 en Mathematical Model for the Control of Infectious Disease
PETER, OJ; AKINDUKO, OB; OGUNTOLU, FA & ISHOLA, CY

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.

Keywords
Infectious Disease; Equilibrium States; Basic Reproduction Number.

 
© Copyright 2018 - Peter et al.

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