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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
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Bioline Code: ja18078
Full paper language: English
Document type: Research Article
Document available free of charge
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Journal of Applied Sciences and Environmental Management, Vol. 22, No. 4, 2018, pp. 447-451
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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.
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© Copyright 2018 - Peter et al.
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