%0 Journal Article
%T 具有Lévy跳跃驱动的Rosenzweig-MacArthur捕食者–食饵模型的渐近行为<br>Asymptotic Behavior of Rosenzweig-MacArthur Predator-Prey Model with Lévy Jump Drive
%A 许文清
%A 陈琳芳
%A 巫东兰
%A 黄梓轩
%J Pure Mathematics
%P 409-423
%@ 2160-7605
%D 2024
%I Hans Publishing
%R 10.12677/pm.2024.145196
%X 本文主要利用随机分析等相关知识，根据进化稳定策略框架对Rosenzweig-MacArthur捕食者–食饵模型进行改进，证明了具有Lévy跳跃驱动的Rosenzweig-MacArthur捕食者–食饵模型解的存在唯一性和随机有界性，并探究了该模型的灭绝性、持久性和平稳分布。<br />
In this paper, we use stochastic analysis and other related knowledge to improve the Rosenzweig-MacArthur predator-prey model according to the evolutionary stable strategy framework, prove the existence, uniqueness and random boundedness of the solution of the Rosenzweig-MacArthur predator-prey model driven by Lévy jump, and explore the extinction, persistence and stationary distribution of the model.
%K Rosenzweig-MacArthur捕食者–食饵模型，Lévy跳跃，灭绝性，平均持久性，平稳分布<br>Rosenzweig-MacArthur Predator-Prey Model
%K Lévy Jumps
%K Extinction
%K Average Persistence
%K Smooth Distribution
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=88713