| A CLASS OF SIS EPIDEMIC MODEL WITH SATURATION INCIDENCE AND AGE OF INFECTION |
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| 作者姓名： | Yang Junyuan Zhang Fengqin Wang Xiaoyan |
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| 作者单位： | Dept.of Applied Math.，Yuncheng Unversity，044000 Yuncheng，Shanxi |
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| 基金项目： | the National Natural Sciences Foundation of China (10471040)，the University Foundation of Yuncheng University (20060218) |
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| 摘 要： | Saturating contact rate of individual contacts is crucial in an epidemiology model.A mathematical SIR model with saturation incidence and age of infec- tion is formulated in this paper.In addition,we study the dynamical behavior of this model and define the basic reproductive number R_0.The authors also prove that the diseased-free equilibrium is globally asymptotically stable if R_0<1. The endemic equilibrium is locally asymptotically stable if K_1>αand R_0>1.
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| 关 键 词： | 流行模型 饱和度 入射角度 数学 |
A CLASS OF SIS EPIDEMIC MODEL WITH SATURATION INCIDENCE AND AGE OF INFECTION |
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| Yang Junyuan Zhang Fengqin Wang Xiaoyan.A CLASS OF SIS EPIDEMIC MODEL WITH SATURATION INCIDENCE AND AGE OF INFECTION[J].微分方程年刊(英文版),2007,23(4):546-551. |
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| Authors: | Yang Junyuan Zhang Fengqin Wang Xiaoyan |
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| Institution: | Dept. of Applied Math., Yuncheng Unversity, 044000 Yuncheng, Shanxi |
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| Abstract: | |
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| Keywords: | epidemic model age of infection local stability saturation incidence |
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