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has been cited by the following article:

• 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.