| 一类非自治SIS传染病模型的持续性 |
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| 引用本文： | 桂占吉.一类非自治SIS传染病模型的持续性[J].海南师范大学学报(自然科学版),2000,13(2):18-21. |
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| 作者姓名： | 桂占吉 |
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| 作者单位： | 海南师范学院数学系,海南海口 571158 |
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| 摘 要： | 考虑了一类Logistic种群增长的非自治SIS传染病模型.这个模型的所有参数是与时间相关的.证明了在某些条件下系统是持续的,建立了关于相应周期系统正周期解的存在性与稳定性的条件.
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| 关 键 词： | 传染病模型 周期系统 持续性 周期解 稳定性 |
| 修稿时间： | 2000年3月9日 |
PERSISTEMCE FOR A NONAUTONOMOUS SIS-INFECTIOUS DISEASES MODEL |
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| GUI Zhan-ji.PERSISTEMCE FOR A NONAUTONOMOUS SIS-INFECTIOUS DISEASES MODEL[J].Journal of Hainan Normal University:Natural Science,2000,13(2):18-21. |
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| Authors: | GUI Zhan-ji |
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| Abstract: | In this paper,a nonautonomous SIS-Infections diseases model with Logistic species growth is considered,where all parameters are time-dependent.It is proved that the system can be made persistent under some condilions.Conditions are established for the existence and the stability of the positive periodic solutions with respect to the corresponding periodic system. |
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| Keywords: | infectious diseases model periodic system persistence periodic solution stability |
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