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三个种群Beddington-DeAngelis食物链系统的持久性和稳定性研究
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作者 吕小俊 谢海平 李周红 《西南民族大学学报(自然科学版)》 CAS 2024年第1期101-111,共11页
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... 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. 展开更多
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
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ON THE EXISTENCE AND UNIQUENESS OF ALMOST PERIODIC SOLUTIONS TO DISCRETE TWO-SPECIES COMPETITIVE SYSTEMS
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作者 Niu Chengying (School of Statistics, Lanzhou University of Finance and Economics, Lanzhou 730020) Chen Xiaoxing (College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002) 《Annals of Differential Equations》 2008年第3期306-316,共11页
In this paper, we consider almost periodic discrete two-species competitive sys-tems. By using Lyapunov functional, the existence conditions and uniqueness of almost periodic solutions for the this type of systems are... In this paper, we consider almost periodic discrete two-species competitive sys-tems. By using Lyapunov functional, the existence conditions and uniqueness of almost periodic solutions for the this type of systems are obtained. 展开更多
关键词 discrete competitive system Lyapunov function uniformly asymp-totically stable almost periodic solution existence and uniqueness
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