%0 Journal Article
%T 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<br>Dynamic Analysis of Prey-Predator Model with Two State-Feedback Impulse Controls
%A 杨韶宇
%A 张蒙
%J Advances in Applied Mathematics
%P 2666-2674
%@ 2324-8009
%D 2024
%I Hans Publishing
%R 10.12677/aam.2024.136255
%X 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。<br />
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.
%K 食饵，捕食者，双边状态反馈脉冲控制，阶一周期解<br>Prey
%K Predator
%K Two State-Feedback Impulse Controls
%K Order-1 Periodic Solution
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=89483