摘要
通过使用叠合度理论中的Mawhin连续定理和不等式技巧,分析带有收获项和脉冲的时滞食饵捕食系统的动态特征,从而,获得带有收获项和脉冲的时滞食饵捕食系统至少存在八个正概周期解的充分条件.
By using Mawhin’s continuation theorem of coincidence degree theory and differential inequality skills,we study an delay predator-prey system with impulsive and harvesting terms.Finally,we find some sufficient conditions for the existence of eight positive almost periodic solutions for the system under consideration.
作者
吕小俊
谢海平
赵凯宏
LU Xiaojun;XIE Haiping;ZHAO Kaihong(Department of Information Science and Technology, Tourism and Culture College, Yunnan University, Lijiang 674199, China;Department of Applicate Maths, Kunming University of Science and Technology, Kunming 650093, China)
出处
《应用泛函分析学报》
2019年第2期130-141,共12页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(11161025)
云南大学旅游文化学院重点项目(2015XYZ03)
关键词
概周期解
食饵捕食系统
脉冲
叠合度
收获项
时滞
almost periodic solutions
predator-prey system
impulsive
coincidence degree
harvesting term
delay
