Article ID Journal Published Year Pages File Type
1706008 Applied Mathematical Modelling 2009 14 Pages PDF
Abstract

In this paper, a nonautonomous SIRS epidemic model with time delay is studied. We introduce some new threshold values R∗R∗ and R∗R∗ and further obtain the disease will be permanent when R∗>1R∗>1 and the disease extinct when R∗<1R∗<1. Using the method of Liapunov functional, some sufficient conditions are derived for the global attractivity of the system. The known results are extended.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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