Bulletin of Mathematical Biology

, Volume 69, Issue 8, pp 2537–2559

On a Nonautonomous SEIRS Model in Epidemiology

Original Article

DOI: 10.1007/s11538-007-9231-z

Cite this article as:
Zhang, T. & Teng, Z. Bull. Math. Biol. (2007) 69: 2537. doi:10.1007/s11538-007-9231-z


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.


Nonautonomous SEIRS epidemic modelDiseasePermanenceExtinction

Copyright information

© Society for Mathematical Biology 2007

Authors and Affiliations

  1. 1.College of Mathematics and System SciencesXinjiang UniversityUrumqiPeople’s Republic of China