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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
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Abstract:
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。
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.
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