Dynamics and response reshaping of nonlinear predator-prey system undergoing random abrupt disturbances

作     者：Lei XIA Jiaojiao SUN Zuguang YING Ronghua HUAN Weiqiu ZHU Lei XIA;Jiaojiao SUN;Zuguang YING;Ronghua HUAN;Weiqiu ZHU

作者机构：Department of MechanicsKey Laboratory of Soft Machines and Smart Devices of Zhejiang ProvinceZhejiang UniversityHangzhou 310027China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2021年第42卷第8期

页      面：1123-1134页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China(Nos.11772293 and12072312) Zhejiang Science and Technology Project(No.2019C03129) 

主　　题：random excitation nonlinear dynamics reshaping control stationary probability density function(SPDF) predator-prey system 

摘      要：An actual ecological predator-prey system often undergoes random environmental mutations owing to the impact of natural disasters and man-made destruction, which may destroy the balance between the species. In this paper,the stochastic dynamics of the nonlinear predator-prey system considering random environmental mutations is investigated, and a feedback control strategy is proposed to reshape the response of the predator-prey system against random abrupt environmental mutations. A delayed Markov jump system(MJS) is established to model such a predator-prey system. A novel first integral is constructed which leads to better approximation solutions of the ecosystem. Then, by applying the stochastic averaging method based on this novel first integral, the stochastic response of the predator-prey system is investigated, and an analytical feedback control is designed to reshape the response of the ecosystem from the disturbed state back to the undisturbed *** simulations finally illustrate the accuracy and effectiveness of the proposed procedure.