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

Caijuan Yan, Jianwen Jia and Zhen Jin

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-11

Abstract:

The stability of the SIR epidemic model with information variable and limited medical resources was studied. When the basic reproduction ratio , there exists the disease-free equilibrium and when the basic reproduction ratio , 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:861710

DOI: 10.1155/2014/861710

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