毒素环境下水生生物持续生存的状态反馈脉冲控制分析  

Studies on State Feedback Impulsive Control for Sustainable Survival of Aquatic Population in Toxic Environment

作　　者：张蒙 洪久胜 李泽妤[2] ZHANG Meng;HONG Jiusheng;LI Zeyu(School of Science,Beijing University of Civil Engineering and Architecture,Beijing 100044,China;Canvard College,Beijing Technology and Business University,Beijing 101118,China)

机构地区：[1]北京建筑大学理学院,北京100044 [2]北京工商大学嘉华学院,北京101118

出　　处：《信阳师范学院学报（自然科学版）》2023年第3期403-407,共5页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11701026);北京建筑大学研究生创新项目(PG2022141)。

摘　　要：建立了一类具有Holling-Ⅱ型功能反应函数的状态反馈脉冲模型,描述在毒素环境下通过收获食饵和投放捕食者使物种持续生存的策略。使用后继函数等定性方法,得到阶1周期解的存在性、稳定性的充分条件及异宿环的存在性。数值模拟结果验证了理论结果的正确性。A class of state feedback impulsive model with Holling-II type functional response is proposed to describe the strategies for species sustaining in a toxic environment through harvesting prey and releasing predator.The sufficient conditions for the existence and stability of order-1 periodic solution and the existence of heteroclinic orbit are obtained using qualitative analysis methods such as the successor function.Numerical simulation results are given to verify the correctness of the theoretical results.

关 键 词：状态脉冲反馈控制 阶1周期解 毒素 异宿环 

分 类 号：O175.2[理学—数学]