Global Behaviors of a Class of Discrete SIRS Epidemic Models with Nonlinear Incidence Rate

We study a class of discrete SIRS epidemic models with nonlinear incidence rate F(S)G(I) and disease-induced mortality. By using analytic techniques and constructing discrete Lyapunov functions, the global stability of disease-free equilibrium and endemic equilibrium is obtained. That is, if basic r...

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Bibliographic Details
Main Authors: Lei Wang, Zhidong Teng, Long Zhang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/249623