| 带有脉冲和时滞的捕食与被捕食系统的周期解 |
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| 引用本文： | 秦发金,欧伯群.带有脉冲和时滞的捕食与被捕食系统的周期解[J].天津师范大学学报(自然科学版),2007,27(1):61-65. |
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| 作者姓名： | 秦发金 欧伯群 |
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| 作者单位： | 1. 广西柳州师范高等专科学校,数学系,广西,柳州,545004
2. 湛江师范学院,数学与计算科学学院,广东,湛江,524048 |
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| 摘 要： | 通过对基于比率的两种群捕食者-食饵周期系统施加外界干涉,得到了带有脉冲的捕食与被捕食系统.利用重合度理论得到了在脉冲条件下这种系统的周期解.通过适量地增加食饵和适度减少捕食者的数量,找到了先验界,定义了一个新的Fredholm算子,得出了脉冲捕食与被捕食系统周期解存在的充分条件.
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| 关 键 词： | 脉冲条件 捕食者与被捕食系统 周期解 重合度理论 |
| 文章编号： | 1671-1114（2007）01-0061-05 |
| 收稿时间： | 2006-06-17 |
| 修稿时间： | 2006年6月17日 |
Periodic Solution for a Predator-Prey System with Impulsive Effects and Delays |
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| QIN Fa-jin,OU Bo-qun.Periodic Solution for a Predator-Prey System with Impulsive Effects and Delays[J].Journal of Tianjin Normal University(Natural Science Edition),2007,27(1):61-65. |
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| Authors: | QIN Fa-jin OU Bo-qun |
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| Institution: | 1. Department of Mathematics, Liuzhou Teachers College, Liuzhou 545004, Guangxi Province, China; 2. College of Mathematical and Computation Science, Zhanjiang Normal College, Zhanjiang 524048, Guangdong Province, China |
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| Abstract: | A predator-prey system with impulsive effects is obtained by imposing external influence for ratio-based predator-prey system of two species.Periodic solution of the system under impulsive condition is obtained by using coincedence degree theory.By reasonably increasing the quantity of preys and decreasing the quantity of predators,a prior bound is obtained and a new Fredholm operator is defined.At last,a group of sufficient conditions for the existence of periodic solution is given. |
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| Keywords: | impulsive condition predator-prey system periodic solution coincedence degree theory |
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