| 具有一般非线性接触率及潜伏年龄结构的SEIS传染病模型稳定性分析 |
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| 引用本文： | 锁要红,张仲华.具有一般非线性接触率及潜伏年龄结构的SEIS传染病模型稳定性分析[J].上海大学学报(自然科学版),2011(5):636-641. |
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| 作者姓名： | 锁要红 张仲华 |
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| 作者单位： | 西安科技大学理学院;西安交通大学航天航空学院;陕西师范大学数学与信息科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10971064),国家自然科学基金数学天元基金资助项目(11026133); 中国博士后基金资助项目(20090461281); 陕西省教育厅专项科研计划资助项目(11JK0531); 西安科技大学培育基金资助项目(2010042) |
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| 摘 要： | 讨论一类具有一般非线性接触率及潜伏年龄结构的SEIS传染病模型,研究了地方病平衡点的存在性、无病平衡点的全局稳定性以及地方病平衡点的指数稳定性,得到地方病平衡点指数稳定的一般性条件.
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| 关 键 词： | SEIS传染病模型 非线性接触率 平衡点 潜伏年龄结构 渐近稳定性 |
Stability Analysis of SEIS Epidemic Model with Latent Age Dependent and Generally Nonlinear Contact Rate |
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| SUO Yao-hong,ZHANG Zhong-hua.Stability Analysis of SEIS Epidemic Model with Latent Age Dependent and Generally Nonlinear Contact Rate[J].Journal of Shanghai University(Natural Science),2011(5):636-641. |
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| Authors: | SUO Yao-hong ZHANG Zhong-hua |
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| Institution: | SUO Yao-hong1,2,ZHANG Zhong-hua1,3(1.School of Sciences,Xi'an University of Science and Technology,Xi'an 710054,China,2.School of Aerospace,Xi'an Jiaotong University,Xi'an 710049,3.College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,China) |
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| Abstract: | The existence of endemic equilibrium and the global stability of desease free equilibrium of a SEIS epidemic model with generally nonlinear contact rate and latent age dependent are discussed.In the sequal,an ordinary condition is obtained,and which assures the endemic equilibrium is exponentially stable. |
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| Keywords: | SEIS epidemic model nonlinear contact rate equilibrium latent age dependent asymptotically stable |
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