Stability and Hopf Bifurcation for a Delayed SIR Epidemic Model with Logistic Growth

We study a delayed SIR epidemic model and get the threshold value which determines the global dynamics and outcome of the disease. First of all, for any τ, we show that the disease-free equilibrium is globally asymptotically stable; when R0<1, the disease will die out. Directly afterwards, we pro...

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Bibliographic Details
Main Authors: Yakui Xue, Tiantian Li
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/916130