The Global Behavior of a Periodic Epidemic Model with Travel between Patches

Luosheng Wen, Bin Long, Xin Liang and Fengling Zeng

Abstract and Applied Analysis, 2012, vol. 2012, 1-12

Abstract:

We establish an SIS (susceptible-infected-susceptible) epidemic model, in which the travel between patches and the periodic transmission rate are considered. As an example, the global behavior of the model with two patches is investigated. We present the expression of basic reproduction ratio and two theorems on the global behavior: if < 1 the disease-free periodic solution is globally asymptotically stable and if > 1, then it is unstable; if > 1, the disease is uniform persistence. Finally, two numerical examples are given to clarify the theoretical results.

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2012/295060.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2012/295060.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:295060

DOI: 10.1155/2012/295060

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem (mohamed.abdelhakeem@hindawi.com).