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| 一类具有Logistic增长和病程的SIR模型 | |
| 引用本文： | 杨俊元,郑福,王晓燕,张凤琴.一类具有Logistic增长和病程的SIR模型[J].数学的实践与认识,2009,39(11). |
| 作者姓名： | 杨俊元 郑福 王晓燕 张凤琴 |
| 作者单位： | 1. 北京信息与控制研究所,北京,100037;运城学院,数学系,山西,运城,044000 2. 渤海大学,数学系,辽宁,锦州,211016 3. 运城学院,数学系,山西,运城,044000 |
| 基金项目： | 山西省科技开发项目，运城学院院级科研项目 |
| 摘 要： | 研究具有Logistic增长和病程的SIR流行病模型.运用微分、积分方程理论,得到再生数R0<1时,无病平衡点E0是全局渐近稳定的;而当R0>1时,地方病平衡点E*是局部渐近稳定的. |
| 关 键 词： | 数学模型 Logistic增长 再生数 平衡点 稳定性 |
A Class SIR Epidemic Model with Logistic Growth and Infection Age |
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| YANG Jun-yuan,ZHENG Fu,WANG Xiao-yan,ZHANG Feng-qin.A Class SIR Epidemic Model with Logistic Growth and Infection Age[J].Mathematics in Practice and Theory,2009,39(11). | |
| Authors: | YANG Jun-yuan ZHENG Fu WANG Xiao-yan ZHANG Feng-qin |
| Abstract: | It is discussed a SIR epidemic model with Logistic growth and infection age. The disease-free equilibrium E0 is globally asymptotically stable if R0<1, and also the endemic equilibrium E is locally asymptotically stable if R0>1, by using the theory of differential and integral equation. |
| Keywords: | mathematical models Logistic growth reproductive number equilibrium stability |
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