Original Article

Bulletin of Mathematical Biology

, Volume 69, Issue 8, pp 2537-2559

On a Nonautonomous SEIRS Model in Epidemiology

  • Tailei ZhangAffiliated withCollege of Mathematics and System Sciences, Xinjiang University Email author 
  • , Zhidong TengAffiliated withCollege of Mathematics and System Sciences, Xinjiang University

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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.

Keywords

Nonautonomous SEIRS epidemic model Disease Permanence Extinction