| 具有免疫接种及饱和传染率的传染病模型分析 |
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| 引用本文： | 徐为坚,陈时东.具有免疫接种及饱和传染率的传染病模型分析[J].广西科学,2006,13(4):261-263. |
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| 作者姓名： | 徐为坚 陈时东 |
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| 作者单位： | 玉林师范学院数学与计算机科学系,广西玉林,537000;玉林师范学院物理与信息科学系,广西玉林,537000 |
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| 基金项目： | 国家自然科学基金资助项目(10471117)，广西教育厅科研项目(200510211)联合资助。 |
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| 摘 要： | 分析具有免疫接种、免疫消除、无出生死亡及饱和传染率的传染病模型,得到模型的无病平衡点及地方病平衡点全局渐近稳定的条件.
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| 关 键 词： | 数学模型 平衡点 全局渐近稳定 传染病 |
| 文章编号： | 1005-9164（2006）04-0261-03 |
| 收稿时间： | 2006-06-14 |
| 修稿时间： | 2006年6月14日 |
Analysis of an Infectious Disease Model with Immunization Vaccination and Saturating Infect Rate |
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| XU Wei-jian and CHEN Shi-dong.Analysis of an Infectious Disease Model with Immunization Vaccination and Saturating Infect Rate[J].Guangxi Sciences,2006,13(4):261-263. |
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| Authors: | XU Wei-jian and CHEN Shi-dong |
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| Institution: | Department of Mathematics and Computer Science, Yulin Teachers'' College, Yulin, Guangxi, 537000, China and Department of Physics and Information Science, Yulin Teachers'' College, Yulin, Guangxi, 537000, China |
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| Abstract: | Infectious disease model with Immunization Vaccination,Immunization elimination,naught birth and death,saturating infect rate are analyzed.And then the conditions on the global asymptotic stability of the non-disease equilibrium and local disease's equilibrium are obtained. |
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| Keywords: | mathematical model equilibrium global asymptotic stability infectious disease |
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