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The Stability of Highly Pathogenic Avian Influenza Epidemic Model with Saturated Contact Rate 被引量：1

The Stability of Highly Pathogenic Avian Influenza Epidemic Model with Saturated Contact Rate
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摘要 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. 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.
作者 Shuqin Che Yakui Xue Likang Ma
机构地区 Department of Mathematics Jinxi Industries Group Co.
出处 《Applied Mathematics》 2014年第21期3365-3371,共7页 应用数学（英文）
关键词 AVIAN INFLUENZA The Basic REPRODUCTION NUMBER STABILITY Avian Influenza The Basic Reproduction Number Stability
分类号 O1 [理学—基础数学]
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Applied Mathematics
2014年 第21期

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