含阶段结构的单种群模型正周期解的存在性与全局吸引性  

Existence and Global Attractivity of Positive Periodic Solutions for Single Species Model with Stage Structure

作　　者：艾合麦提·吾买尔 艾合麦提·麦麦提阿吉[2] Ahmatjan Omar;Ahmadjan Muhammadhaji(Editorial Department of Journal of Xinjiang University,Xinjiang University,Urumqi 830046,China;College of Mathematics and System Sciences Xinjiang University,Urumqi 830046,China)

机构地区：[1]新疆大学学报编辑部,新疆乌鲁木齐830046 [2]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》2021年第3期316-320,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11861063)。

摘　　要：研究了具有阶段结构的非自治单种群模型.运用叠合度定理和Lyapunov函数的方法,得到了模型的正周期解的存在性和全局吸引性的充分条件.A class of non-autonomous single species model with stage structure is discussed.Some sufficient conditions on the existence and global attractivity of the positive periodic solution is established by using of continuation theorem and the Lyapunov function method.

关 键 词：阶段结构单种群模型 叠合度定理 正周期解 全局吸引性 

分 类 号：Q141[生物学—生态学] O175[生物学—普通生物学]