具有双边状态反馈脉冲控制的食饵–捕食者模型的动力分析
Dynamic Analysis of Prey-Predator Model with Two State-Feedback Impulse Controls
摘要: 为进行害虫的防治，本文在具有Smith增长且具有Beddington-DeAngelis型功能反应的食饵–捕食者系统的基础上加入双边状态反馈脉冲控制，从而得到新的模型，并证明了其双边阶一周期解的存在性。同时，也对所得的理论结果通过数值模拟进行验证。
Abstract: In order to control insect pests, a model with two state-feedback impulse controls is applied to the predator-predator system with Smith growth function and Beddington-DeAngelis type functional response. We also prove the existence of order-1 periodic solution. At the same time, the theoretical results are verified by numerical simulation.
文章引用：杨韶宇, 张蒙. 具有双边状态反馈脉冲控制的食饵–捕食者模型的动力分析[J]. 应用数学进展, 2024, 13(6): 2666-2674. https://doi.org/10.12677/aam.2024.136255

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