Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630226 | Applied Mathematics and Computation | 2012 | 11 Pages |
Abstract
In this paper, we study the long-time behavior of a nonautonomous SEIRS epidemic model. We obtain new sufficient conditions for the permanence (uniform persistence) and extinction of infectious population of the model. By numerical examples we show that there are cases such that our results improve the previous results obtained in [T. Zhang, Z. Teng, On a nonautonomous SEIRS model in epidemiology, Bull. Math. Bio. 69 (2007) 2537–2559]. We discuss a relation between our results and open questions proposed in the paper.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Toshikazu Kuniya, Yukihiko Nakata,