| 一类潜伏期与传染期均传染的SEIQR传染病模型 |
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| 引用本文： | 陈中祥.一类潜伏期与传染期均传染的SEIQR传染病模型[J].数学理论与应用,2010(2):23-29. |
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| 作者姓名： | 陈中祥 |
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| 作者单位： | 中南大学数学科学与计算技术学院,长沙410083 |
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| 摘 要： | 研究了一类潜伏期和感染期均传染的SEIQR模型的全局稳定性,找到疾病绝灭和持续生存的阈值——基本再生数R0,证明了无病平衡点和地方病平衡点的存在性和全局渐近稳定性,揭示了隔离对疾病控制的积极作用。
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| 关 键 词： | 波动引理 流行病模型 全局稳定性 基本再生数 |
A Kind of SEIQR Epidemical Model with Infectious Force in the Latent Period and Infected Period |
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| Chen Zhongxiang.A Kind of SEIQR Epidemical Model with Infectious Force in the Latent Period and Infected Period[J].Mathematical Theory and Applications,2010(2):23-29. |
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| Authors: | Chen Zhongxiang |
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| Institution: | Chen Zhongxiang ( School of Mathematical Sciences and Computing Technology, Changsha, 410083 ) |
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| Abstract: | The global stability of SEIQR epidemical model with infectious force in the latent period and infected period is discussed. The threshold, basic reproductive number which determines whether a disease is extinct or not, is obtained. The existences and global stabilities of the disease - free equilibrium and the endemic equilibrium are solved and active effects of quarantine. |
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| Keywords: | Fluctuation lemma Epidemical model Global asymptotical stable Basic reproductive number |
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