| 具有因病死亡且输人为Berverton-Holt函数的离散SIS传染病模型分析 |
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| 引用本文： | 吴鹏飞,端木京顺,杜继永,曹中红. 具有因病死亡且输人为Berverton-Holt函数的离散SIS传染病模型分析[J]. 数学的实践与认识, 2013, 43(5) |
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| 作者姓名： | 吴鹏飞 端木京顺 杜继永 曹中红 |
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| 作者单位： | 1. 空军工程大学装备管理与安全工程学院,陕西西安,710051
2. 中国人民解放军94942部队,上海,200133 |
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| 摘 要： | 引入相应的概率建立了考虑因病死亡且输入为Berverton-Holt的离散SIS传染病模型,确定了决定其动力性态的阈值,在阈值之下模型仅存在无病平衡点,且无病平衡点是全局渐近稳定的;在阈值之上模型是一致持续的,有唯一的地方病平衡点存在,且可以猜想地方病平衡点是全局渐近稳定的.
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| 关 键 词： | 离散传染病模型 动力学性态 平衡点 稳定性 |
Analysis of an SIS Epidemic Model with Disease-Induced Mortality |
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| WU Peng-fei , Duanmu Jing-shun , DU Ji-yong , CAO Zhong-hong. Analysis of an SIS Epidemic Model with Disease-Induced Mortality[J]. Mathematics in Practice and Theory, 2013, 43(5) |
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| Authors: | WU Peng-fei Duanmu Jing-shun DU Ji-yong CAO Zhong-hong |
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| Abstract: | The probability is introduced to establish the discrete-time SIS epidemicmodel which considers disease-induced mortality and has Berverton-Holt recruitment.And the threshold determining its dynamical behavior is found.Below the threshold the model only exists the disease-free equilibrium which is globally asymptoptically stable.Above the threshold the model is uniformly persistent and exists a unique endemic equilibrium which is supposesd to be globally asymptotically stable. |
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| Keywords: | discrete-time epidemic model dynamical behavior equilibrium stability |
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