Author(s)

O. Adebimpe^1*, L. M. Erinle-Ibrahim², A. F. Adebisi³

¹Department of Physical Sciences, Landmark University, Omu-Aran, Nigeria.
²Department of Mathematics, Tai Solarin University of Education, Ijebu-Ode, Nigeria.
³Department of Mathematical and Physical Science, Osun State University, Osogbo, Nigeria.

A SIQS epidemic model with saturated incidence rate is studied. Two equilibrium points exist for the system, disease-free and endemic equilibrium. The stability of the disease-free equilibrium and endemic equilibrium exists when the basic reproduction number R0, is less or greater than unity respectively. The global stability of the disease-free and endemic equilibrium is proved using Lyapunov functions and Poincare-Bendixson theorem plus Dulac’s criterion respectively.

SIQS Epidemic Model, Saturated Incidence Rate, Basic Reproduction Number, Lyapunov Function, Poincare-Bendixson, Dulac Criterion

Adebimpe, O. , Erinle-Ibrahim, L. and Adebisi, A. (2016) Stability Analysis of SIQS Epidemic Model with Saturated Incidence Rate. Applied Mathematics, 7, 1082-1086. doi: 10.4236/am.2016.710096.