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

Shuqin Che¹, Yakui Xue¹, Likang Ma²

¹Department of Mathematics, North University of China, Taiyuan, China.
²Jinxi Industries Group Co., Ltd., Taiyuan, China.

DOI: 10.4236/am.2014.521313                

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.

Keywords

Avian Influenza, The Basic Reproduction Number, Stability

Conflicts of Interest

The authors declare no conflicts of interest.

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