摘要
通过对具有周期系数的 Lotka- Volterra捕食与被捕食系统施加外界的干涉 ,得到了带有脉冲的捕食与被捕食系统 .利用拓扑度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适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 。
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.
出处
《北京理工大学学报》
EI
CAS
CSCD
北大核心
2001年第5期537-540,共4页
Transactions of Beijing Institute of Technology
基金
国家自然科学基金资助项目 ( 198710 0 5)
