非自治竞争型Nicholson飞蝇模型的动力学行为  

Dynamical Behavior for a Non-autonomous Nicholson’s Blowflies Model with Competition

作　　者：伍祉桥 艾合麦提·麦麦提阿吉[1,2] WU Zhiqiao;MUHAMMADHAJI Ahmadjan(College of Mathematics and System Sciences,Xinjiang University,Urumqi 830017,China;The Key Laboratory of Applied Mathematics of Xinjiang Uygar Autonomous Degion,Xinjiang University,Urumqi 830017,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830017 [2]新疆大学新疆应用数学重点实验室,新疆乌鲁木齐830017

出　　处：《应用数学》2023年第1期170-175,共6页Mathematica Applicata

基　　金：国家自然科学基金(11861063);新疆自然科学基金(2021D01067);新疆应用数学重点实验室开放课题(2022D04045)。

摘　　要：本文研究一类具有离散时滞的非自治竞争型Nicholson飞蝇模型.运用微分方程比较原理,不等式估计方法以及构造适当的Lyapunov函数得到了系统的持久性,灭绝性,正周期解的存在性以及全局吸引性的充分条件.This paper studies the dynamical behavior for a class of non-autonomous Nicholson’s blowflies Model with competition and time delays.Some sufficient conditions on the permanence,extinction,existence of positive periodic solution and global attractiveness are established by applying the comparison method,useful inequality techniques and the construction of suitable Lyapunov function.

关 键 词：竞争型Nicholson飞蝇模型 时滞 持久性 全局吸引性 

分 类 号：O175.14[理学—数学]