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Dynamics of an SIR Epidemic Model with Information Variable and Limited Medical Resources Revisited

被引：0
|
作者：
Yan, Caijuan [1 ]
Jia, Jianwen [1 ]
Jin, Zhen [2 ]
机构：
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China
[2] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2014年 / 2014卷
关键词：
DEPENDENT VACCINATION; BACKWARD BIFURCATION; GLOBAL-STABILITY;
D O I：
10.1155/2014/861710
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The stability of the SIR epidemic model with information variable and limited medical resources was studied. When the basic reproduction ratio R-0 < 1, there exists the disease-free equilibrium and when the basic reproduction ratio R-0 > 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.
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页数：11
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