| 带有脉冲的捕食与被捕食系统的周期解 |
| |
| 引用本文： | 闫长香,葛渭高.带有脉冲的捕食与被捕食系统的周期解[J].北京理工大学学报,2001,21(5):537-540. |
| |
| 作者姓名： | 闫长香 葛渭高 |
| |
| 作者单位： | 北京理工大学应用数学系 |
| |
| 基金项目： | 国家自然科学基金;19871005; |
| |
| 摘 要： | 通过对具有周期系数的Lotka-Volterra捕食与被捕食系统旋加外界的干涉,得到了带有脉冲的捕食与捕食系统，利用拓扑宽理论研究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达度地减少捕食者的数量，找到了先验界，定义了一个新的Fredholm算子，得到了脉冲捕食系统周期解存在的充分条件。
|
| 关 键 词： | 脉冲条件 捕食与被捕食系统 周期解 拓扑度理度 Fredholm算子 Lotka－Volterra系统 |
| 文章编号： | 1001-0645(2001)05-0537-04 |
| 修稿时间： | 2001年2月21日 |
Periodic Solutions for a Predator-Prey System with Impulsive Effects |
| |
| YAN Chang xiang,GE Wei gao.Periodic Solutions for a Predator-Prey System with Impulsive Effects[J].Journal of Beijing Institute of Technology(Natural Science Edition),2001,21(5):537-540. |
| |
| Authors: | YAN Chang xiang GE Wei gao |
| |
| Abstract: | By imposing external influence on the Lokta Volterra predator prey system with periodic coefficients, a predator prey system with impulsive effects is obtained. Based on topological degree theory, periodic solutions for this system under impulsive conditions are studied. By reasonably increasing the quantity of preys and decreasing the quantity of predators, a prioyi bounds are obtained and a new Fredholm operator is defined. At last, a group of sufficient conditions for existence of periodic solutions are given. |
| |
| Keywords: | impulsive condition predator prey system periodic solution topological degree |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《北京理工大学学报》浏览原始摘要信息 |
|
点击此处可从《北京理工大学学报》下载全文 |
