具有Beddington-DeAngelis型功能性反应的随机时滞捕食-被捕食系统  

A Stochastic Predator-prey Model with Beddington-DeAngelis Functional Response and Time Delay

作　　者：黄开娇 肖飞雁 HUANG Kaijiao;XIAO Feiyan(School of Mathematics and Statistics,Guangxi Normal University,Guilin Guangxi 541006,China;School of Mathematics and Physics,Guangxi Minzu University,Nanning Guangxi 530006,China)

机构地区：[1]广西师范大学数学与统计学院,广西桂林541006 [2]广西民族大学数学与物理学院,广西南宁530006

出　　处：《广西师范大学学报（自然科学版）》2024年第3期141-150,共10页Journal of Guangxi Normal University:Natural Science Edition

基　　金：广西自然科学基金(2022JJA110062,2023GXNSFBA026009);广西民族大学引进人才科研启动项目(2022KJQD06)。

摘　　要：本文研究一类具有Beddington-DeAngelis型功能性反应的随机时滞捕食-被捕食系统。利用Lyapunov函数、It8公式等证明该系统存在唯一全局正解和随机最终有界性,得到全局渐近稳定性的充分条件。利用Milstein方法进行数值模拟,验证系统的全局渐近稳定性。In this paper,a stochastic delayed predator-prey model with Beddington-DeAngelis functional response is studied.Sufficient criteria for global existence,stochastically ultimately bounded and global asymptotic stability of the positive equilibrium are obtained.Numerical simulations are carried out to illustrate the analytical results.

关 键 词：捕食-被捕食系统 Beddington-DeAngelis型功能性反应 随机最终有界性 全局渐近稳定性 

分 类 号：O175[理学—数学]