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| 带有变异和类年龄结构的两菌株传染病模型 | |
| 引用本文： | 杨俊元,王晓燕,李学志. 带有变异和类年龄结构的两菌株传染病模型[J]. 信阳师范学院学报(自然科学版), 2011, 24(3): 298-303. DOI: 10.3969/j.issn.1003-0972.2011.03.004 |
| 作者姓名： | 杨俊元 王晓燕 李学志 |
| 作者单位： | 1. 北京信息与控制研究所,北京100037;运城学院应用数学系,山西运城044000 2. 运城学院应用数学系,山西运城,044000 3. 信阳师范学院数学与信息科学学院,河南信阳,464000 |
| 基金项目： | 国家自然科学基金，山西科技开发项目，山西省自然科学基金项目 |
| 摘 要： | 建立和研究带有变异和类年龄结构的两菌株传染病模型,得到了两菌株相对应的基本再生数的表达式,给出了无病平衡点、各菌株占优的平衡点以及共存平衡点的存在性条件.证明了无病平衡点的全局稳定性和各菌株占优平衡点的局部渐近稳定性. |
| 关 键 词： | 变异 染病年龄 基本再生数 流行病模型 |
A Two-strain Epidemic Model with Mutation and Age of Infection |
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| YANG Jim-yuan,WANG Xiao-yan,LI Xue-zhi. A Two-strain Epidemic Model with Mutation and Age of Infection[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2011, 24(3): 298-303. DOI: 10.3969/j.issn.1003-0972.2011.03.004 | |
| Authors: | YANG Jim-yuan WANG Xiao-yan LI Xue-zhi |
| Affiliation: | YANG Jun-yuan1,2,WANG Xiao-yan2,LI Xue-zhi3(1.Beijing Institute of Information and Control,Beijing 100037,China,2.Department of Applied Mathematics,Yuncheng University,Yuncheng 044000,3.College of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000,China) |
| Abstract: | A two-strain epidemic model with age of infection and mutation is formulated.Two basic reproductive numbers corresponding to two strains are obtained.The existence conditions of strain dominated equilibria and coexistence equilibrium are given.The globally asymptotical stability of the strain-free equilibrium and the locally asymptotical stabilities of the strain dominated equilibria are proved. |
| Keywords: | mutation age of infection the basic reproductive number epidemic model |
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