一类时滞人口动力学模型的稳定性分析  

Stability analysis of a class of delayed population dynamics models

作　　者：张金瑞 潘雅洁 ZHANG Jinrui;PAN Yajie(School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学数学与统计学院,湖南长沙410114

出　　处：《湖南文理学院学报（自然科学版）》2024年第2期1-5,13,共6页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：湖南省自然科学基金(2023JJ30006);湖南省教育厅科研项目(21A0192)。

摘　　要：利用波动引理和微分不等式技巧研究了一类具有时滞依赖系数的人口动力学模型的稳定性,获得了解的正性与有界性,证明了在与时滞相关的充分条件下关于零平衡点和正平衡点的渐近稳定性,同时刻画了平衡点的吸引域。本文的证明方法改进并完善了文献[Journal of Differential Equations 354(2023)183–206]中的相应结果。The stability of a class of population dynamics models with time-delay dependence coefficients is studied by using the wave lemma and differential inequality techniques,and the asymptotic stability of the zero and positive equilibrium points under sufficient conditions related to the time delay is proved.The proof method in this paper improves and refines the corresponding results in literature[Journal of Differential Equations 354(2023)183-206].

关 键 词：人口模型 时滞 吸引性 稳定性 

分 类 号：O175.13[理学—数学]