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Avian Influenza, with a high mortality rate in human population, is considered to be one of the most significant potential threats to human beings. Based on a recent avian influenza SI-SIR model with logistic growth for birds, we propose a stochastic model with generalized incidence rate. For the stochastic avian-only system, sufficient conditions for the extinction of infected birds are established, and the existence of a unique ergodic stationary distribution is also obtained. For the stochastic avian-human system, a threshold number is established, and hence the extinction of disease is investigated. From the viewpoint of biology, the noise intensity in the infected birds plays a key role in the evolutionary dynamics. Moreover, we also analyze the asymptotic behavior around the endemic equilibrium of the corresponding deterministic model.
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篇名 Study on a Stochastic Avian Influenza Epidemic Model with Generalized Incidence Rate
来源期刊 应用科学(英文) 学科 数学
关键词 AVIAN INFLUENZA EXTINCTION ERGODIC STATIONARY Distribution ASYMPTOTIC Behavior
年,卷(期) 2020,(5) 所属期刊栏目
研究方向 页码范围 228-245
页数 18页 分类号 O17
字数 语种
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研究主题发展历程
节点文献
AVIAN
INFLUENZA
EXTINCTION
ERGODIC
STATIONARY
Distribution
ASYMPTOTIC
Behavior
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研究来源
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研究去脉
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期刊影响力
应用科学(英文)
月刊
2165-3917
武汉市江夏区汤逊湖北路38号光谷总部空间
出版文献量(篇)
247
总下载数(次)
0
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0
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