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Pure Mathematics 2024
具有Lévy跳跃驱动的Rosenzweig-MacArthur捕食者–食饵模型的渐近行为
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Abstract:
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。
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.
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