Mathematical model for the control of infectious disease

  • O.J. Peter
  • O.B. Akinduko
  • F.A. Oguntolu
  • C.Y. Ishola
Keywords: Infectious Disease, Equilibrium States, Basic Reproduction Number

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

Published
2018-05-03
Section
Articles

Journal Identifiers


eISSN: 2659-1502
print ISSN: 1119-8362