期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 218, 期 11, 页码 6519-6525出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2011.12.024
关键词
Epidemic model; Vaccination; Non-linear incidence rate; Reproduction number; Global stability; Lyapunov function
This paper deals with global dynamics of an SIRS epidemic model for infections with non permanent acquired immunity. The SIRS model studied here incorporates a preventive vaccination and generalized non-linear incidence rate as well as the disease-related death. Lyapunov functions are used to show that the disease-free equilibrium state is globally asymptotically stable when the basic reproduction number is less than or equal to one, and that there is an endemic equilibrium state which is globally asymptotically stable when it is greater than one. (C) 2011 Elsevier Inc. All rights reserved.
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