含时滞和阶段结构的两种群比例依赖竞争与合作系统的动力学行为研究  

Dynamic Behavior of two Species Ratio-Dependent Competition and Cooperation System with Time Delay and Stage Structure

作　　者：赵晋婷 艾合麦提·麦麦提阿吉[1] 热伊莱·穆明 热艳古丽·萨吾尔 ZHAO Jin-ting;AHMADJAN Muhammadhaji;REYILAI Muming;REYANGULI Sawue(College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《数学的实践与认识》2022年第6期234-242,共9页Mathematics in Practice and Theory

基　　金：新疆自然科学基金(2021D01C067);国家自然科学基金(11861063)。

摘　　要：研究了具有时滞和阶段结构的非自治两种群比例依赖竞争系统和合作系统.通过应用微分方程比较原理得到了两个系统的最终有界性,持久性,灭绝性以及正周期解的存在性和全局吸引性的充分条件.This paper studies a class of autonomous two species ratio-dependent competition and cooperation system with time delay and stage structure.Some sufficient conditions on the boundedness,permanence,extinction,existence of periodic solution and global attractivity of the two considered systems are established by means of the comparison method.

关 键 词：阶段结构 比例依赖 持久性 正周期解 全局吸引性 

分 类 号：O175[理学—数学]