具有两个竞争捕食者和lsamvy跳跃的修正LG-Holling II型捕食者-猎物模型的持续和灭绝

IF 1.4 2区经济学 Q3 BUSINESS, FINANCE

Finance and Stochastics Pub Date : 2023-01-08 DOI:10.1080/17442508.2022.2164694

Yongxin Gao, Fan Yang

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引用次数: 0

摘要

本文研究了一种考虑捕食者之间竞争的三种捕食者-被捕食者模型，该模型具有修正的LG-Holling II型和lsamvy跳跃。首先，我们利用Ornstein-Uhlenbeck过程来描述系统的环境随机性，并利用比较定理等数学分析技巧证明系统存在唯一正解。此外，还得到了各物种在不同条件下的灭绝或持续的平均值。最后，通过数值模拟验证了本文的主要结论。

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Persistence and extinction of a modified LG-Holling type II predator-prey model with two competitive predators and Lévy jumps

In this paper, we study a three-species predator-prey model with modified LG-Holling type II with Lévy jumps, and we take the competition among predators into consideration. First, We use an Ornstein-Uhlenbeck process to describe the environmental stochasticity and prove that there is a unique positive solution to the system by mathematical analysis skills such as comparison theorem. Futhermore, the extinction or persistence in the mean of each species under different conditions is obtained. Finally, some numerical simulations are carried out to support our main results.

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来源期刊

Finance and Stochastics 管理科学-数学跨学科应用

CiteScore

2.90

自引率

5.90%

发文量

审稿时长

>12 weeks

期刊介绍： The purpose of Finance and Stochastics is to provide a high standard publication forum for research - in all areas of finance based on stochastic methods - on specific topics in mathematics (in particular probability theory, statistics and stochastic analysis) motivated by the analysis of problems in finance. Finance and Stochastics encompasses - but is not limited to - the following fields: - theory and analysis of financial markets - continuous time finance - derivatives research - insurance in relation to finance - portfolio selection - credit and market risks - term structure models - statistical and empirical financial studies based on advanced stochastic methods - numerical and stochastic solution techniques for problems in finance - intertemporal economics, uncertainty and information in relation to finance.