离散型时滞Lotka-Volterra食饵-捕食者系统的8个正周期解  

Eight Positive Periodic Solutions of a Discrete Lotka-Volterra Predator-Prey System with Discrete Delays

作　　者：吕小俊[1] 李睿[1] Lyu Xiao-jun;LI-Rui(Department of Information,Tourism and Culture College of Yunnan University,Lijiang Yunnan 674199,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

出　　处：《西南大学学报（自然科学版）》2020年第7期114-123,共10页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11161025);云南省教育厅科学研究项目(2017ZDX270,2020J0908);云南大学旅游文化学院重点项目(2015XYZ03).

摘　　要：采取叠合度的Mawhin连续定理和微分不等式,研究带有收获项的离散型Lotka-Volterra食饵-捕食者系统,并获得该系统存在8个正周期解的充分条件.In this paper,using the Mawhin's continuation theorem of the coincidence degree theory and differential inequality,we investigate a discrete Lotka-Volterra predator-prey system with harvesting terms,and some sufficient conditions on the existence of at least eight positive periodic solutions in the system are obtained.

关 键 词：离散型 LOTKA-VOLTERRA 食饵-捕食者系统 8个正周期解 收获项 

分 类 号：O175.14[理学—数学]