| 具有Michaelis-Menten类型功能反应的捕食与被捕食脉时滞冲微分方程的周期解的存在性 |
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| 引用本文： | 邢春波,桂占吉.具有Michaelis-Menten类型功能反应的捕食与被捕食脉时滞冲微分方程的周期解的存在性[J].海南师范大学学报(自然科学版),2008,21(3):240-245. |
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| 作者姓名： | 邢春波 桂占吉 |
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| 作者单位： | 1. 海南师范大学数学系,海南,海口,571158
2. 海南师范大学计算机科学与教育技术系,海南,海口,571158 |
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| 基金项目： | 海南省高校科研基金，海南省自然科学基金资资助项目 |
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| 摘 要： | 研究具有Miehaelis-Menten类型功能反应的捕食与被捕食脉冲微分方程的周期解的存在性.通过运用Mawhin的延拓定理得到了正周期解的存在的充足的和合理的情况.
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| 关 键 词： | 捕食与被捕食系统 正周期解 度理论 脉冲微分方程 |
Periodic solution of a delayed predator-prey system governed by impulsive differential equation with Michaelis-Menten type functional response |
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| Xing Chunbo,Gui Zhanji.Periodic solution of a delayed predator-prey system governed by impulsive differential equation with Michaelis-Menten type functional response[J].Journal of Hainan Normal University:Natural Science,2008,21(3):240-245. |
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| Authors: | Xing Chunbo Gui Zhanji |
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| Abstract: | The principal aim of this paper is to explore the existence of solution with strictly positive components of Predator-prey system governed by impulsive differential equation with delays.By using continuation theorem based on Gaines and Mawhin's coincidence degree,sufficient and realistic conditions are obtained for the global existence of positive periodic solution of a delayed predator-prey system with Michaelis-Menten type functional response. |
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| Keywords: | predator-prey system positive periodic solution coincidence degree impulsive dif-ferential equations |
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