Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616273 | Journal of Mathematical Analysis and Applications | 2014 | 14 Pages |
Abstract
In this paper, applying two types of Lyapunov functional techniques to an SIRS epidemic model with graded cure and incomplete recovery rates, we establish complete global dynamics of the model whose threshold parameter is the basic reproduction number R0R0 such that the disease-free equilibrium is globally asymptotically stable when R0⩽1R0⩽1, and the endemic equilibrium is globally asymptotically stable when R0>1R0>1.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yoshiaki Muroya, Huaixing Li, Toshikazu Kuniya,