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一类带有治疗项的SEIR传染病动力学模型

A Kind of SEIR Epidemic Dynamics Model with Treatment
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摘要 研究了一类带有治疗项的SEIR动力学模型,其中考虑的治疗率与感染者数量有一定的比例关系。得出了决定疾病灭绝和持续生存的基本再生数R0,给出了不同条件下各类平衡点存在的条件阈值,进而判断出了平衡点的稳定性。 In this paper, a kind of SEIR epidemic dynamics model with treatment is studied, among them, the treatment considered has certain proportional relations with the number of infections. The basic reproductive number R0 of deciding disease extinction and persistent existence is obtained, the condition threshold of all kinds of equilibrium points existed is given, and the stability of the equilibrium points is judged.
作者 常琨 魏亚萍 栗永安
机构地区 兰州交通大学数理与软件工程学院 甘肃会宁县教场小学
出处 《重庆理工大学学报（自然科学）》 CAS 2012年第10期97-102,共6页 Journal of Chongqing University of Technology：Natural Science
基金 国家自然科学基金资助项目(10911075)
关键词 治疗项 平衡点 稳定性 treatment equilibrium stability
分类号 O175.1 [理学—基础数学]
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参考文献8

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重庆理工大学学报（自然科学）
2012年 第10期

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