| 具有路途感染和入境检查的SIQS模型的全局稳定性 |
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| 引用本文： | 陈玲,陈晓平.具有路途感染和入境检查的SIQS模型的全局稳定性[J].西南师范大学学报(自然科学版),2012,37(5):24-29. |
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| 作者姓名： | 陈玲 陈晓平 |
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| 作者单位： | 1. 重庆大学数学与统计学院,重庆,400044
2. 西南大学数学与统计学院,重庆,400715 |
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| 基金项目： | 中央高校研究生创新基金 |
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| 摘 要： | 研究了具有路途感染和入境处有健康检查的SIQS传染病模型的全局渐近稳定性.通过构造Lyapunov函数,Dulac函数,证得当基本再生数小于等于1时,无病平衡点全局渐近稳定;当基本再生数大于1时,得到了地方性平衡点全局渐近稳定的充分条件.
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| 关 键 词： | 路途感染 入境检查 全局渐近稳定 周期解 |
On Global Stability of the SIQS Epidemic Model with Transport-related Infection and Entry Screening |
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| CHEN Ling
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CHEN Xiao-ping.On Global Stability of the SIQS Epidemic Model with Transport-related Infection and Entry Screening[J].Journal of Southwest China Normal University(Natural Science),2012,37(5):24-29. |
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| Authors: | CHEN Ling CHEN Xiao-ping |
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| Institution: | 1.School of Mathematics and Statistics,Chongqing University,Chongqing 400044,China;2.School of Mathematics and Statistics,Southwest University,Chongqing 400715,China |
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| Abstract: | It is considered that the SIQS epidemic model with transport-related infection and entry-screening is of global asymptotic stability.By establishing Lyapunov’s function and Dulac’s function,some analytical results are given for the SIQS model.If the basic reproduction number is below or equals to one,the disease free equilibrium is of global asymptotical stability;if the basic reproduction number is larger than unity,sufficient conditions are obtained for the global stability of the endemic equilibrium. |
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| Keywords: | transport-related entry-screening global asymptotic stability periodic solutions |
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