| 一类具有常恢复率且总人口变化的SEIS传染病模型的稳定性 |
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| 引用本文： | 陈军杰,刘祥官.一类具有常恢复率且总人口变化的SEIS传染病模型的稳定性[J].高校应用数学学报(英文版),2006,21(1). |
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| 作者姓名： | 陈军杰 刘祥官 |
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| 摘 要： |
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STABILITY OF AN SEIS EPIDEMIC MODEL WITH CONSTANT RECRUITMENT AND A VARYING TOTAL POPULATION SIZE |
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| Chen Junjie,Liu Xiangguan.STABILITY OF AN SEIS EPIDEMIC MODEL WITH CONSTANT RECRUITMENT AND A VARYING TOTAL POPULATION SIZE[J].Applied Mathematics A Journal of Chinese Universities,2006,21(1). |
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| Authors: | Chen Junjie Liu Xiangguan |
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| Abstract: | This paper considers an SEIS epidemic model with infectious force in the latent period and a general population-size dependent contact rate.A threshold parameter R is identified.If R≤1,the disease-free equilibrium O is globally stable.IfR>1,there is a unique endemic equilibrium and O is unstable.For two important special cases of bilinear and standard incidence,sufficient conditions for the global stability of this endemic equilibrium are given.The same qualitative results are obtained provided the threshold is more than unity for the corresponding SEIS model with no infectious force in the latent period.Some existing results are extended and improved. |
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| Keywords: | epidemic model threshold endemic equilibrium latent period global stability |
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