| 具有Holling功能反应的非自治捕食系统的持续性和周期解 |
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| 引用本文： | 齐新社,窦霁虹,杨东升,李锋.具有Holling功能反应的非自治捕食系统的持续性和周期解[J].纯粹数学与应用数学,2008,24(3). |
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| 作者姓名： | 齐新社 窦霁虹 杨东升 李锋 |
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| 作者单位： | 西安通信学院,陕西,西安,710106;西北大学数学系,陕西,西安,710069;西北大学数学系,陕西,西安,710069;西安通信学院,陕西,西安,710106;临沂师范学院,山东,临沂,276005 |
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| 摘 要： | 研究了具有一般的Holling功能反应函数,且种群之间既有捕食关系,又有竞争关系的三种群混合模型,得到了该系统惟一存在全局渐近稳定正周期解的条件,推广了已有结论.
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| 关 键 词： | 功能反应 周期解 持续性 |
Persistence and periodic solution for the nonautonomous predator-prey system with holling functional response |
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| QI Xin-she,DOU Ji-hong,YANG Dong-sheng,LI Feng.Persistence and periodic solution for the nonautonomous predator-prey system with holling functional response[J].Pure and Applied Mathematics,2008,24(3). |
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| Authors: | QI Xin-she DOU Ji-hong YANG Dong-sheng LI Feng |
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| Institution: | QI Xin-she~(1,2) DOU Ji-hong~2 YANG Dong-sheng~1 LI Feng~3 1.Xi\'an Communication College,Xi\'an 710106,China,2.Department of Mathematics,Northwest University,Xi\'an 710069,3.The Normal College of Linyi,Linyi,276005 |
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| Abstract: | The mixed model with predatoriness and competition of three species is discussed, in which predator has Holling functional response. It is proved that the system can have a unique positive globally asymptotical stability periodic solution. |
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| Keywords: | functional response periodic solution persistence |
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