| 一类带有一般出生率的SIS传染病模型的全局分析 |
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| 引用本文： | 李益群,任谨慎,李建全.一类带有一般出生率的SIS传染病模型的全局分析[J].数学的实践与认识,2009,39(23). |
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| 作者姓名： | 李益群 任谨慎 李建全 |
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| 作者单位： | 空军工程大学应用数学物理系,陕西,西安,710051 |
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| 基金项目： | 国家自然科学基金，陕西省自然科学基金 |
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| 摘 要： | 将一般出生率系数引入S IS传染病模型,得到了种群灭绝和疾病灭绝的阈值条件.分别借助S tokes定理和D u lac函数对染病者的数量模型和染病者在种群中所占比例的模型进行了讨论,得到了相应模型的全局动力学行为.
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| 关 键 词： | 出生率 传染病模型 平衡点 全局稳定性 |
Global Analysis of an SIS Epidemic Model with Generalized Birth Rate |
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| LI Yi-qun,REN Jin-shen,LI Jian-quan.Global Analysis of an SIS Epidemic Model with Generalized Birth Rate[J].Mathematics in Practice and Theory,2009,39(23). |
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| Authors: | LI Yi-qun REN Jin-shen LI Jian-quan |
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| Abstract: | The generalized birth rate is introduced into an SIS epidemic model, the threshold conditions on the extinction of population and infection all were found for this model. The models with the number of the infected individuals and the fraction of the infected individuals in population were investigated by Stokes theorem and Dulac function, respectively, and the global dynamic behaviors of the corresponding models were obtained. |
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| Keywords: | birth rate epidemic model equilibrium global stability |
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