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一类潜伏期和染病期均有传染力的SEIR模型的稳定性分析 被引量:8

Stability Analysis of an SEIR Model with Infectious Force in Latent Period and Inflected Period
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摘要 研究了具有一般形式的接触率潜伏期和染病期均有传染力的SEIR模型,给出了无病平衡点和地方病平衡点存在的条件,得到了疾病流行的阈值.证明了无病平衡点和地方病平衡点是全局渐近稳定的. In this paper,considering an SEIR epidemic model with a general contact rate and have infectious force in latent period and infected period,the conditions to the existence of the disease-free equilibrium and the endemic equilibrium are identified,we obtain the threshold of the disease popularity.This paper proves global asymptotical stability of the disease-free equilibrium and the endemic equilibrium.
出处 《哈尔滨理工大学学报》 CAS 北大核心 2010年第2期71-75,82,共6页 Journal of Harbin University of Science and Technology
基金 黑龙江省自然基金资助项目(A200502 A200811) 黑龙江省教育厅资助项目(10051061)
关键词 流行病 阈值 LIAPUNOV函数 全局稳定性 epidemic threshold Liapunov function global stability
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