Global Stability of an SIQ Epidemic Model

Authors

  • Settapat Chinviriyasit Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok 10140, Thailand.
  • Wirawan Chinviriyasit Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok 10140, Thailand.

Keywords:

epidemic model, global stability

Abstract

In this paper, an SIQ epidemic model is studied and analyzed. In the model the susceptibles and the infectious have constant immigration. The model exhibits an unique endemic state if p > 0, a disease-free state and an endemic state if p = 0. A basic reproduction number R0 is derived. If R0 > 1, the global stability of the endemic equilibrium is proved when p ≥ 0.

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Published

2007-12-31

How to Cite

Settapat Chinviriyasit, and Wirawan Chinviriyasit. 2007. “Global Stability of an SIQ Epidemic Model”. Agriculture and Natural Resources 41 (5). Bangkok, Thailand:225-28. https://li01.tci-thaijo.org/index.php/anres/article/view/244372.

Issue

Vol. 41 No. 5 (2007): January-December

Section

Research Article

License

online 2452-316X print 2468-1458/Copyright © 2022. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/),
production and hosting by Kasetsart University of Research and Development Institute on behalf of Kasetsart University.