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- Title
Dynamics of an SIR Epidemic Model with Information Variable and Limited Medical Resources Revisited.
- Authors
Caijuan Yan; Jianwen Jia; Zhen Jin
- Abstract
The stability of the SIR epidemic model with information variable and limited medical resources was studied. When the basic reproduction ratio R0 < 1, there exists the disease-free equilibrium and when the basic reproduction ratio R0 > 1, we obtain the sufficient conditions of the existence of the endemic equilibrium. The local asymptotical stability of equilibrium is verified by analyzing the eigenvalues and using the Routh-Hurwitz criterion. We also discuss the global asymptotical stability of the endemic equilibrium by autonomous convergence theorem. A numerical analysis is given to show the effectiveness of the main results.
- Subjects
ANALYTICAL mechanics; KINETIC art; DYNAMICS; MATHEMATICS; MECHANICS (Physics)
- Publication
Discrete Dynamics in Nature & Society, 2014, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2014/861710