一类具有非单调功能反应的随机捕食系统的动力学分析  

Dynamic Analysis of Stochastic Predator-prey System with Non-monotonic Functional Response

作　　者：蒲武军 PU Wujun(School of Mathematics and Information Science,Longnan Normal University,Chengxian Gansu 742500)

机构地区：[1]陇南师范学院数信学院,甘肃成县742500

出　　处：《甘肃高师学报》2025年第1期1-6,共6页Journal of Gansu Normal Colleges

摘　　要：文章研究了随机扰动下一类具有非单调功能反应的捕食系统.首先,使用It?公式和随机微分方程的比较定理考察了系统全局正解的存在唯一性、有界性和一致H?lder连续性.然后,利用控制收敛定理讨论了系统的随机永久性,并给出了系统灭绝的充分条件.最后,通过构造Lyapunov函数,获得了系统的遍历平稳分布的存在唯一性.此外,借助数值模拟,对上述理论结果进行了验证.A stochastic predator-prey system with non-monotonic functional response is discussed.Firstly,the existence,uniqueness,boundedness and uniform H?lder continuity of the global positive solution of the system are investigated by using It?formula and comparison theorem of stochastic differential equations.Then,the stochastic permanence of the system is discussed by using the control convergence theorem,and the sufficient conditions for the extinction of the system are given.Finally,by establishing Lyapunov functions,the existence and uniqueness of the ergodic stationary distribution of the system are obtained.Besides,our theoretical results are verified through numerical simulation.nt;extinction;ergodicstationary distribution.

关 键 词：非单调捕食系统 一致H?lder连续性 随机永久性 灭绝 遍历平稳分布 

分 类 号：O175[理学—数学]