| 一类在两个斑块内人口迁移的传染病模型的研究 |
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| 引用本文： | 李冰,王辉.一类在两个斑块内人口迁移的传染病模型的研究[J].北京工商大学学报(自然科学版),2009,27(1). |
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| 作者姓名： | 李冰 王辉 |
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| 作者单位： | 北京科技大学应用科学学院,北京100083 |
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| 基金项目： | 国家自然科学基金资助项目(10671011). |
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| 摘 要： | 建立了一类在两个斑块内人口迁移的传染病模型,得到了该模型的基本再生数R_(12)和主特征值λ_1,证明了若λ_1<0,则无病平衡点是全局渐近稳定的,即疾病在人口迁移条件下消失,若λ_1>0,则地方病平衡点存在,且是全局渐近稳定的,即疾病在人口迁移条件下持续存在.
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| 关 键 词： | 传染病模型 人口迁移 主特征值 全局渐近稳定 |
RESEARCH ON AN SIS EPIDEMIC MODEL WITH POPULATION DISPERSAL IN TWO PATCHES |
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| LI Bing WANG Hui.RESEARCH ON AN SIS EPIDEMIC MODEL WITH POPULATION DISPERSAL IN TWO PATCHES[J].Journal of Beijing Technology and Business University:Natural Science Edition,2009,27(1). |
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| Authors: | LI Bing WANG Hui |
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| Institution: | School of Applied Science;University of Science and Technology Beijing;Beijing 100083;China |
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| Abstract: | In this paper,an SIS epidemic model in two patches due to population dispersal is established. The reproduction number R_(12)and main eigenvalueλ_1 are obtained for the model.It is proved thatλ_1<0 implies that disease free equilibrium is globally asymptotically stable,i.e the disease extincts when the population dispersal occurs,andλ_1>0 implies that endemic equilibrium exists and remains globally asymptotically stable,i.e the disease remains persistent in two patches when the population dispersal occurs. |
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| Keywords: | epidemic model population dispersal main eigenvalue globally asymptotically stable |
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