| 一类具有非线性传染力的阶段结构SI模型 |
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| 引用本文： | 郑丽丽,王豪,方勤华.一类具有非线性传染力的阶段结构SI模型[J].数学的实践与认识,2004,34(8):128-135. |
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| 作者姓名： | 郑丽丽 王豪 方勤华 |
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| 作者单位： | 1. 信阳师范学院数学与信息科学学院,河南,信阳,464000
2. 信阳教育学院,河南,信阳,464000 |
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| 摘 要： | 讨论了一类具有非线性传染力的阶段结构 SI传染病模型 ,确定了各类平衡点存在的阈值条件 ,得到了各类平衡点局部稳定和全局稳定的条件 .
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| 关 键 词： | 非线性传染力 阶段结构 传染病 阈值 全局渐近稳定性 持续生存 |
| 修稿时间： | 2003年11月10 |
Analysis of Stability for a SI Epidemic Model with Nonlinear Infection Incidence and Stage-structure |
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| ZHENG Li-li ,WANG Hao ,FANG Qin-hua.Analysis of Stability for a SI Epidemic Model with Nonlinear Infection Incidence and Stage-structure[J].Mathematics in Practice and Theory,2004,34(8):128-135. |
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| Authors: | ZHENG Li-li WANG Hao FANG Qin-hua |
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| Institution: | ZHENG Li-li 1,WANG Hao 2,FANG Qin-hua 1 |
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| Abstract: | A SI epidemic model with nonlinear infection incidence and stage-structure is studied in this paper,the conditions and threshold to the existence of various equilibria are established. It is obtained that the conditions about the locally asymptotic stability and the globally asymptotic stability of equilibria. |
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| Keywords: | nonlinear infection incidence stage-structure epidemic threshold global stability permanence |
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