| 时标上带有反馈控制的两种群竞争系统的概周期解 |
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| 引用本文： | 鲁红英.时标上带有反馈控制的两种群竞争系统的概周期解[J].高校应用数学学报(A辑),2022(1):79-90. |
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| 作者姓名： | 鲁红英 |
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| 作者单位： | 东北财经大学数据科学与人工智能学院 |
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| 基金项目： | 国家自然科学基金(71471030);教育部人文社会科学研究规划基金(20YJA790084);辽宁省高等学校创新人才支持计划(WR2018020);辽宁省教育厅项目(LN2017QN032,LN2017FW009);东北财经大学研究生教学改革研究项目(yjyb202027,yjzd202003);东北财经大学2021年度校级科研项目(时标概周期动力方程渐近性质研究)。 |
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| 摘 要： | 研究了一类时标上带有反馈控制的两种群竞争系统的概周期解的存在性与稳定性.首先应用微分不等式和比较原理得到了该系统的持久性.在此基础上,通过构造了一个合适的Lyapunov泛函,得到该系统存在唯一一致渐近稳定正概周期解的充分条件.文中对以前的相关文献研究结果进行了推广.
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| 关 键 词： | 时标 竞争系统 反馈控制 持久性 概周期解 |
Almost periodic solution for a two species competitive system with feedback controls on time scales |
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| LU Hong-ying.Almost periodic solution for a two species competitive system with feedback controls on time scales[J].Applied Mathematics A Journal of Chinese Universities,2022(1):79-90. |
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| Authors: | LU Hong-ying |
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| Institution: | (School of data science and artificial intelligence,Dongbei University of Finance and Economics,Dalian 116025,China) |
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| Abstract: | In this paper, the existence and stability of almost periodic solutions for a two species competitive system with feedback control on time scales are considered. By using differential inequality and comparison theorems of the differential equation, the sufficient conditions for ensuring the permanence of the system are derived. Then based on the results, by constructing a suitable Lyapunov functional, the sufficient conditions for the existence of an unique positive uniformly asymptotically stable almost periodic solution are obtained. This paper generalizes the results of previous works. |
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| Keywords: | time scales competitive system feedback control permanence almost periodic solution |
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