三个种群Beddington-DeAngelis食物链系统的持久性和稳定性研究  

Permanence and stability of almost periodic solution for a three-species Beddington-DeAngelis food chain system

作　　者：吕小俊 谢海平 李周红 LÜXiao-jun;XIE Hai-ping;LI Zhou-hong(School of General Education,Applied Technology College of Soochow University,Suzhou 215300,China;Teaching and Research Department,Applied Technology College of Soochow University,Suzhou 215300,China;School of Mathematics and Information Technology,Yuxi Normal University,Yuxi 653100,China)

机构地区：[1]苏州大学应用技术学院通识教育学院,江苏苏州215300 [2]苏州大学应用技术学院教学科研部,江苏苏州215300 [3]玉溪师范学院数学与信息技术学院,云南玉溪653100

出　　处：《西南民族大学学报（自然科学版）》2024年第1期101-111,共11页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：云南省教育厅自然科学基金项目(2020J0908);江苏省高等学校基础科学(自然科学)面上项目(21KJB110013)。

摘　　要：使用比较定理、微分中值定理和不动点定理,分析一类带有食饵庇护和多层干扰的Beddington-DeAngelis食物链系统的持久性和概周期解问题.在持久性的基础上,构造合适的Lyapunov函数,获得该Beddington-DeAngelis食物链系统存在一致渐近稳定概周期解的充分条件.最后,给出一个例子的数值模拟验证结果的有效性.By applying comparison theorem,differential mean value theorem and fixed point theorem,sufficient conditions were established which guarantee the almost periodic solution of a Beddington-DeAngelis food chain system with prey refuge and mutual inference of predator.Based on the permanence result,by constructing a suitable Lyapunov functional,sufficient conditions were established on the existence of uniformly asymptotic stability of positive almost periodic solution for the considered system.Moreover,an example along with its numerical simulation was employed to illustrate the effectiveness of the proposed result.

关 键 词：食饵庇护 多层干扰 Beddington-DeAngelis食物链系统 概周期解 一致渐近稳定 

分 类 号：O175[理学—数学]