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.

引用

页数：11

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