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http://dx.doi.org/10.12941/jksiam.2013.17.055

STABILITY OF AN SIRS EPIDEMIC MODEL WITH A VARIABLE INCIDENCE RATE AND TIME DELAY  

Seo, Young Il (NATIONAL FISHERIES RESEARCH AND DEVELOPMENT INSTITUTE)
Cho, Gi Phil (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY)
Chae, Kyoung Sook (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY)
Jung, Il Hyo (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.17, no.1, 2013 , pp. 55-65 More about this Journal
Abstract
The purpose of this paper is to prove existence of solutions of an SIRS epidemic model with time delay of continuous type and the variable incidence rate and to investigate some asymptotic behaviors of the SIRS epidemic model. An example illustrating the stability of the model is given. The results extend the corresponding results in the literature.
Keywords
Existence; Epidemic model; Stability; Endemic equilibrium state; Lyapunov function;
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