Applied Mathematics

Volume 5, Issue 21 (December 2014)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

The Stability of Highly Pathogenic Avian Influenza Epidemic Model with Saturated Contact Rate

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DOI: 10.4236/am.2014.521313    3,882 Downloads   4,769 Views  Citations
Author(s)

ABSTRACT

In this paper we present a highly pathogenic Avian influenza epidemic model with saturated contact rate. According to study of the dynamics, we calculated the basic reproduction number of the model. Through the analysis of this model, we have the following conclusion: if R0 ≤ 1, there is only one disease-free equilibrium which is globally stable, the disease will die; if R0 > 1, there is only one endemic equilibrium which is globally stable, disease will be popular.

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Che, S. , Xue, Y. and Ma, L. (2014) The Stability of Highly Pathogenic Avian Influenza Epidemic Model with Saturated Contact Rate. Applied Mathematics, 5, 3365-3371. doi: 10.4236/am.2014.521313.

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