| 一类有迁移的传染病模型的研究 |
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| 引用本文： | 彭华勤,郭志明,白定勇.一类有迁移的传染病模型的研究[J].佛山科学技术学院学报(自然科学版),2012,30(4):16-22. |
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| 作者姓名： | 彭华勤 郭志明 白定勇 |
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| 作者单位： | 广州大学数学与信息科学学院,广东广州,510006 |
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| 基金项目： | 国家自然科学基金资助项目，教育部博士点基金资助项目 |
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| 摘 要： | 建立了一类有人口迁移的传染病模型,得到了该模型的基本再生数R0,证明了当R0<1时无疾病平衡点是全局渐近稳定的,当R0>1时存在地方病平衡点且该平衡点是全局渐近稳定的。
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| 关 键 词： | 传染病模型 迁移 基本再生数 稳定性 |
Research on an SIS epidemic model with population dispersal |
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| PENG Hua-qin,GUO Zhi-ming,BAI Ding-yong.Research on an SIS epidemic model with population dispersal[J].Journal of Foshan University(Natural Science Edition),2012,30(4):16-22. |
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| Authors: | PENG Hua-qin GUO Zhi-ming BAI Ding-yong |
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| Institution: | (School of Mathematics and Information Sciences,Guangzhou University,Guangzhou 510006,China) |
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| Abstract: | In this paper,the basic reproduction number is obtained from the SIS epidemic model with population dispersal which is previously established.It is proved that the disease-free equilibrium is globally asymptotically stable if R0<1 and endemic equilibrium exists and is globally asymptotically stable if R0>1. |
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| Keywords: | epidemic model dispersal basic reproduction number stability |
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