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

Caijuan Yan | Zendy; Jianwen Jia | Zendy; Zhen Jin | Zendy

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

Author(s) -

Caijuan Yan,

Jianwen Jia,

Zhen Jin

Publication year - 2014

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2014/861710

Subject(s) - stability (learning theory) , convergence (economics) , algorithm , computer science , machine learning , economics , economic growth

The stability of the SIR epidemic model withinformation 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

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