| 一类潜伏期和染病期均传染且具非线性传染率的流行病模型 |
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| 引用本文： | 张彤,方道元. 一类潜伏期和染病期均传染且具非线性传染率的流行病模型[J]. 生物数学学报, 2006, 21(3): 345-350 |
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| 作者姓名： | 张彤 方道元 |
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| 作者单位： | 1. 浙江工业大学,之江学院,浙江,杭州,310024
2. 浙江大学,数学系,浙江,杭州,310027 |
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| 摘 要： | 研究了一类潜伏期和染病期都传染的具非线性传染率的SEIS流行病模型,确定了各类平衡点存在的条件阈值,讨论了各平衡点的稳定性,揭示了潜伏期传染和染病期传染对流行病发展趋势的共同影响．
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| 关 键 词： | 流行病模型 非线性传染率 阈值 平衡点 稳定性 Hopf分支 |
| 文章编号： | 1001-9626（2006）03-0345-06 |
| 收稿时间： | 2003-11-11 |
| 修稿时间： | 2003-11-11 |
A Kind of Epidemic Model with Infectious Force in Both Latent Period and Infected Period and Nonlinear Infection Rate |
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| ZHANG Tong,FANG Dao-yuan. A Kind of Epidemic Model with Infectious Force in Both Latent Period and Infected Period and Nonlinear Infection Rate[J]. Journal of Biomathematics, 2006, 21(3): 345-350 |
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| Authors: | ZHANG Tong FANG Dao-yuan |
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| Affiliation: | 1 Zhijiang College, Zhejiang University of Technology, Hangzhou Zhejiang 310024 China;2 Department of Mathematics, Zhejiang University, Hangzhou Zhejiang 310027 China |
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| Abstract: | The purpose of this paper is to study a kind of SEIS epidemic model with infectious force in both latent period and infected period and nonlinear infection rate,the con- ditions and threshold to the existence of various equilibriums are established,the stability of the equilibriums are discussed,the influence of the latent period and inflected period to the epidemic is exposed. |
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| Keywords: | Epidemic model Nonlinear infection rate Threshold Equilibrium Stability Hopf bifurcation |
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