| 带有非线性传染率的具有阶段结构的SI传染病模型 |
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| 引用本文： | 张雅婧,张凤琴,冯晓梅.带有非线性传染率的具有阶段结构的SI传染病模型[J].数学的实践与认识,2010,40(7). |
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| 作者姓名： | 张雅婧 张凤琴 冯晓梅 |
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| 作者单位： | 1. 运城学院应用数学系,山西运城,044000;中北大学理学院,山西太原,030051
2. 运城学院应用数学系,山西运城,044000 |
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| 基金项目： | 山西省自然科学基金(2005Z010); 山西省重点扶持学科项目 |
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| 摘 要： | 对带有非线性传染率的具有阶段结构的SI传染病模型进行了讨论,得到了传染病最终消除和成为地方病的条件.
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| 关 键 词： | 阶段结构 阈值 传染病 稳定 |
A SI Epidemic Model with Stage Structure and Nonlinear Infection Rate |
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| ZHANG Ya-jing,ZHANG Feng-qin,FENG Xiao-mei.A SI Epidemic Model with Stage Structure and Nonlinear Infection Rate[J].Mathematics in Practice and Theory,2010,40(7). |
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| Authors: | ZHANG Ya-jing ZHANG Feng-qin FENG Xiao-mei |
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| Institution: | ZHANG Ya-jing~(1,2),ZHANG Feng-qin~1,FENG Xiao-mei~1 (1.Department of Applied Mathematics,Yuncheng University,Yuncheng 044000,China) (2.Department of Mathematics,North University of China,Taiyuan 030051,China) |
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| Abstract: | In this paper,we consider a SI epidemic model with stage structure and nonlinear infection rate.The conditions of the epidemic dying out and the epidemic becoming local epidemic are obtained. |
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| Keywords: | stage structure threshold epidemic stability |
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