Author/Authors :
peter, oj university of ilorin - department of mathematics, Ilorin, Nigeria , akinduko, ob adekunle ajasin university - department of mathematical sciences, Akungba, Nigeria , oguntolu, fa federal university of technology - department of mathematics/statistics, Minna, Nigeria , ishola, cy national open university of nigeria jabi - department of mathematics, Abuja, Nigeria
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.
