随机环境中分析具有Gilpin-Ayala功能响应的改进的Leslie-Gower捕食模型  

Analysis of a Modified Leslie-Gower Predator-Prey System with Gilpin-Ayala Functional Response in Random Environments

作　　者：焦媛 张秀锋 JIAO Yuan;ZHANG Xiufeng(Department of Applied Mathematics,Changzhi University,Changzhi 046011,Shanxi,China)

机构地区：[1]长治学院数学系,山西长治046011

出　　处：《山西师范大学学报（自然科学版）》2024年第4期11-22,共12页Journal of Shanxi Normal University(Natural Science Edition)

基　　金：长治学院校级课题(XN0290/017).

摘　　要：本文以改良的Leslie-Gower捕食系统为主体,增加自然干扰的随机噪声和Gilpin-Ayala项.并研究其种群的数量的持久性、唯一性、全局稳定性以及物种灭绝的边界条件,同时通过数值模拟,验证结论和实验结果大致吻合,此研究具有生物意义.A modified Leslie-Gower predator-prey system as the main disturbance of the natural increase in random noise and Gilpin-Ayala terms.Persistence research and the number of its population,uniqueness,global stability and boundary conditions extinction,while numerical simulation,verification and experimental results are generally consistent with the conclusion,and this research has biological significance.

关 键 词：伊藤公式 李雅普诺夫函数 随机微分方程 

分 类 号：O175.2[理学—数学] O211.63[理学—基础数学]