干旱和半干旱地区植被-水系统有限时间的稳定性  

Finite-time stability of vegetation-water system in arid and semi-arid regions

作　　者：胡静 朱磊[1] 张启敏[2,3] 任杰 吴涵[5] Hu Jing;Zhu Lei;Zhang Qimin;Ren Jie;Wu Han(School of Civil Engineering and Water Conservancy,Ningxia University,Yinchuan 750021,China;School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China;Ningxia Basic Science Research Center of Mathematics,Ningxia University,Yinchuan 750021,China;School of Medical Information and Engineering,Ningxia Medical University,Yinchuan 750021,China;Coca-Cola Beverages(Shanghai)Co.,Ltd.,Shanghai 200123,China)

机构地区：[1]宁夏大学土木与水利工程学院,银川750021 [2]宁夏大学数学统计学院,银川750021 [3]宁夏大学宁夏数学基础学科研究中心,银川750021 [4]宁夏医科大学医学信息与工程学院,银川750021 [5]可口可乐(饮料)上海有限公司,上海200123

出　　处：《河南师范大学学报(自然科学版)》2025年第3期72-78,共7页Journal of Henan Normal University(Natural Science Edition)

基　　金：宁夏回族自治区全职引进高层次人才科研启动项目(2023BSB03070,2022BSB03083);宁夏自然科学基金(2023AAC03181).

摘　　要：自然因素、人为因素以及地表水的渗透能够改变干旱和半干旱地区生态平衡,为了反映随机环境噪声对干旱半干旱地区生态系统的影响,建立了由Markov链和高斯白噪声驱动的随机时滞植被-水系统,通过随机比较原理,研究了植被及水的有限时间的动力学行为,给出了系统有限时间稳定性和有限时间收缩稳定性的充分条件.The ecological balance in arid and semi-arid areas is seriously damaged by natural,human factors and the infiltration of surface water.In order to study the influence of random environmental noise on the ecosystem in arid and semi-arid areas,a stochastic time-delay vegetation-water system driven by Markov chain and Gaussian white noise is established in this paper.The finite-time dynamic behaviors of vegetation and water are studied by stochastic comparison principle,and the sufficient conditions for finite-time stability and finite-time contraction stability of the system are given.

关 键 词：渗透时滞 有限时间稳定 植被-水系统 

分 类 号：O29[理学—应用数学]