一类带有脉冲的具有性别偏食的捕食与食饵系统周期解  

Periodic effect in a prey-predator system with sexual faviritism under impulsive control

作　　者：彭书新[1] 

机构地区：[1]山东城市建设职业学院基础部,山东济南250014

出　　处：《山东理工大学学报（自然科学版）》2010年第4期18-23,共6页Journal of Shandong University of Technology:Natural Science Edition

摘　　要：通过对具有周期系数且带有性别偏食的捕食与食饵系统施加外界干涉,得到了具有脉冲控制的捕食与食饵系统.利用重合度理论中的延拓定理进行性态分析,给出了周期解存在的充分条件,由此得到一个在有脉冲控制时其对应自治系统存在周期解的充分条件,并给出了实例.By imposing external influence on the sexual favoritism predator-prey system with periodic coefficients,a predator-prey system with impulsive effects is obtained,and a model under impulsive effects using the continuous theorem of concidence degree theory is studied.Sufficient condition of existence for periodic solution is given,especially,for automatic system with impulsive effects.This model has a certain ecological significance.

关 键 词：脉冲控制 捕食与食饵系统 周期解 重合度 性别偏食 

分 类 号：O175.13[理学—数学]