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The Stability of Highly Pathogenic Avian Influenza Epidemic Model with Saturated Contact Rate
Department of Mathematics, North University of China, Taiyuan, China
Department of Mathematics, North University of China, Taiyuan, China
Jinxi Industries Group Co., Ltd., Taiyuan, China
- 1 Department of Mathematics, North University of China, Taiyuan, China
- 2 Department of Mathematics, North University of China, Taiyuan, China
- 3 Jinxi Industries Group Co., Ltd., Taiyuan, China
Applied Mathematics·Volume 05 (2014)·Pages 3365–3371·Published 1 December 2014·DOI10.4236/am.2014.521313
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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 R 0 ≤ 1, there is only one disease-free equilibrium which is globally stable, the disease will die; if R 0 > 1, there is only one endemic equilibrium which is globally stable, disease will be popular.
KeywordsAvian InfluenzaThe Basic Reproduction NumberStability
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