title: On a nonautonomous SEIRS model in epidemiology.
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.
authors.affiliation: College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People's Republic of China. t.l.zhang@126.com
authors.forename: Tailei
authors.initials: T
authors.lastname: Zhang
authors.forename: Zhidong
authors.initials: Z
authors.lastname: Teng
mesh_terms: D004196:Disease Outbreaks / Q000706:statistics & numerical data*; D016021:Epidemiologic Studies; D006801:Humans; D008433:Mathematics; D008954:Models, Biological