具有时滞的Lotka-Volterra食饵-捕食者成年种群模型的稳定性分析  

Stability Analysis of Lotka-Volterra Predator-Prey Adult Population Model with Time Delay

作　　者：杨巧艳 廖代琴 颜向平[1] YANG Qiaoyan;LIAO Daiqin;YAN Xiangping(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《应用数学》2022年第4期966-973,共8页Mathematica Applicata

基　　金：国家自然科学基金(61763024)。

摘　　要：本文主要考虑具有时滞的Lotka-Volterra食饵-捕食者成年种群模型.首先,通过线性化方法和分析特征根在复平面上的分布情况,获得了系统边界平衡点的局部渐近稳定性;其次,利用比较原理和上下解方法证明了半平凡平衡点和共存平衡点的全局渐近稳定性.This paper is considered the Lotka-Volterra predator-pery adult population model with time delay.Firstly,the local asymptotic stability of the feasible equilibrium point of the system is obtained by linearization method and analyzing the distribution of characteristic roots in the complex plane.Secondly,the global asymptotic stability of the seim-trivial equilibrium point and coexistence equilibrium point is proved by comparison principle and upper and lower solution method.

关 键 词：时滞 食饵-捕食者模型 平衡点 全局渐近稳定性 

分 类 号：O175.1[理学—数学]