| 一类滞后型非自治的捕食者-食饵系统的周期解 |
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| 引用本文： | 董士杰,葛渭高.一类滞后型非自治的捕食者-食饵系统的周期解[J].系统科学与数学,2003,23(4):461-466. |
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| 作者姓名： | 董士杰 葛渭高 |
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| 作者单位： | 1. 北京理工大学应用数学系,北京,100081;军械工程学院基础部,石家庄,050003
2. 北京理工大学应用数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金(19871005)，教委博士点专项基金(1999000722)资助课题 |
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| 摘 要： | 本文研究了一类滞后型三种群捕食者-食饵Lotka-Volterra系统.利用重合度理论 建立了这类系统正周期解的存在性判据.
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| 关 键 词： | 捕食者-食饵系统 正周期解 重合度理论 |
| 修稿时间： | 2001年12月26 |
PERIODIC SOLUTION FOR A DELAYED NONAUTONOMOUS PREDATOR-PREY SYSTEM |
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| Shi Jie DONG,Wei Gao GE.PERIODIC SOLUTION FOR A DELAYED NONAUTONOMOUS PREDATOR-PREY SYSTEM[J].Journal of Systems Science and Mathematical Sciences,2003,23(4):461-466. |
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| Authors: | Shi Jie DONG Wei Gao GE |
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| Affiliation: | (1)Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081,P.R.CHina,Department of Mathematics, Mechanical Engineering College, Shijiazhuang 050003,P.R.China;(2)Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081,P.R.China |
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| Abstract: | In this paper, a delayed nonautonomous three species predator-prey Lotka-Volterra system is studied. By using the coincidence degree theory, we establish the existence-critertion for a positive periodic solution to the system. |
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| Keywords: | Predator-prey system positive periodic solution coincidence degree theory |
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