带有相互干扰和时滞的Holling Ⅲ型食饵捕食者系统的全局吸引性  

Globally Attractive of a Holling Ⅲ Type Predator-prey System with Mutual Interference and Time Delays

作　　者：吕小俊[1] 高翔 张玮伟 LV Xiao-jun;GAO Xiang;ZHANG Wei-wei(Department of Information,Tourism and Culture College of Yunnan University,Lijiang 674199,China;High School Mathematics Department,Foreign Language School,Mianyang 621000,China;Institute of Preparatory Education,Yunnan Minzu University,Kunming 650504,China)

机构地区：[1]云南大学旅游文化学院信息学院,云南丽江674199 [2]绵阳外国语学校高中数学部,四川绵阳621000 [3]云南民族大学预科教育学院,云南昆明650504

出　　处：《数学的实践与认识》2020年第16期278-284,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11161025);云南省教育厅自然科学基金(2020J0908)。

摘　　要：通过使用比较定理和微分不等式技巧,研究带有相互干扰和时滞的HollingⅢ型食饵-捕食者系统的持久性.在此基础上,我们构造合适的Lyapunov函数,获得该系统全局吸引性的充分条件.In this paper,by using the comparison theorem and differential inequality skills,we study the permanence of a Holling Ⅲ type predator-prey system with mutual interference and time delays.Based on the permanence result,by constructing a suitable Lyapunov functional,we eastablish sufficient conditions of globally attractive for the considered system.

关 键 词：相互干扰 时滞 HollingⅢ 食饵-捕食者系统 全局吸引性 

分 类 号：O175[理学—数学] Q141[理学—基础数学]