TITLE:
Stability Analysis of SIQS Epidemic Model with Saturated Incidence Rate
AUTHORS:
O. Adebimpe, L. M. Erinle-Ibrahim, A. F. Adebisi
KEYWORDS:
SIQS Epidemic Model, Saturated Incidence Rate, Basic Reproduction Number, Lyapunov Function, Poincare-Bendixson, Dulac Criterion
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.10,
June
22,
2016
ABSTRACT: 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.