Hopf Bifurcation of a Delayed Epidemic Model with Information Variable and Limited Medical Resources

Caijuan Yan and Jianwen Jia

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We consider SIR epidemic model in which population growth is subject to logistic growth in absence of disease. We get the condition for Hopf bifurcation of a delayed epidemic model with information variable and limited medical resources. By analyzing the corresponding characteristic equations, the local stability of an endemic equilibrium and a disease‐free equilibrium is discussed. If the basic reproduction ratio ℛ0 1, we obtain sufficient conditions under which the endemic equilibrium E* of system is locally asymptotically stable. And we also have discussed the stability and direction of Hopf bifurcations. Numerical simulations are carried out to explain the mathematical conclusions.

Date: 2014
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https://doi.org/10.1155/2014/109372

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:109372

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