Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model

We present in this paper an SIRS epidemic model with saturated incidence rate and disease-inflicted mortality. The Global stability of the endemic equilibrium state is proved by constructing a Lyapunov function. For the stochastic version, the global existence and positivity of the solution is show...

Full description

Bibliographic Details
Main Authors: A. Lahrouz, L. Omari, D. Kiouach
Format: Article
Language:English
Published: Vilnius University Press 2011-01-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14115