具有收获项的竞争-竞争-互助Lotka-Volterra系统的多重正概周期震荡  

Multiplicity of positive almost periodic oscillation of a competitor-competitor-mutualist Lotka-Volterra system with harvesting terms

作　　者：李周红[1] LI Zhouhong(Department of Mathematics,Yuxi Normal University,Yuxi,Yunnan 653100,China)

机构地区：[1]玉溪师范学院数学系,云南玉溪653100

出　　处：《玉溪师范学院学报》2018年第8期1-12,共12页Journal of Yuxi Normal University

基　　金：云南省自然科学基金"时间尺度上种群生态系统周期解和概周期解研究";项目编号:2014FD049

摘　　要：利用Mawhin连续定理的重合度理论和微分不等式技巧,获得竞争-竞争-互助Lotka-Volterra系统至少存在8个正概周期震荡的充分条件.By applying the coincidence degree theory of Mawhin＇s continuation theorem and differential inequality skills, the sufficient condition for the existence of at least eight positive almost periodic oscillations was established for a competition-competition-mutualism Lotka-Volterra system with harvesting terms.

关 键 词：竞争-竞争-共生Lotka-Volterra模型 收获项 多重性 概周期震荡 重合度 

分 类 号：O175.13[理学—数学]