, Volume 69, Issue 8, pp 2537-2559
Date: 08 Jun 2007

On a Nonautonomous SEIRS Model in Epidemiology

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Abstract

In this paper, we derive some threshold conditions for permanence and extinction of diseases that can be described by a nonautonomous SEIRS epidemic model. Under the quite weak assumptions, we establish some sufficient conditions to prove the permanence and extinction of disease. Some new threshold values are determined.