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On a Nonautonomous SEIRS Model in Epidemiology
Authors:Tailei Zhang  Zhidong Teng
Institution:(1) College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People’s Republic of China
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.
Keywords:Nonautonomous SEIRS epidemic model  Disease  Permanence  Extinction
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