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一类潜伏期与传染期均传染的SEIQR传染病模型 被引量：10

A Kind of SEIQR Epidemical Model with Infectious Force in the Latent Period and Infected Period
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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。 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.
作者 陈中祥
机构地区 中南大学数学科学与计算技术学院
出处 《数学理论与应用》 2010年第2期23-29,共7页 Mathematical Theory and Applications
关键词 波动引理 流行病模型 全局稳定性 基本再生数 Fluctuation lemma Epidemical model Global asymptotical stable Basic reproductive number
分类号 O175 [理学—基础数学]
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参考文献12

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二级参考文献7

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共引文献53

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引证文献10

二级引证文献26

数学理论与应用
2010年 第2期

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