具有lsamvy跳跃的改进的Leslie-Gower holling型II双捕食者单猎物模型的持续和灭绝

IF 1.8 4区数学 Q3 ECOLOGY

Journal of Biological Dynamics Pub Date : 2022-03-14 DOI:10.1080/17513758.2022.2050313

Yongxin Gao, Fan Yang

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引用次数: 2

摘要

本文研究了一类具有lsamvy跳跃的改进的Leslie-Gower和holling - II型双捕食者单猎物模型。首先，我们利用Ornstein-Uhlenbeck过程来描述系统的环境随机性，并证明了系统存在唯一正解。此外，还建立了每一物种平均存续和灭绝的充分条件。最后，给出了一些数值模拟来支持主要结果。

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Persistence and extinction of a modified Leslie–Gower Holling-type II two-predator one-prey model with Lévy jumps

This paper is concerned with a modified Leslie–Gower and Holling-type II two-predator one-prey model with Lévy jumps. First, we use an Ornstein–Uhlenbeck process to describe the environmental stochasticity and prove that there is a unique positive solution to the system. Moreover, sufficient conditions for persistence in the mean and extinction of each species are established. Finally, we give some numerical simulations to support the main results.

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来源期刊

Journal of Biological Dynamics ECOLOGY-MATHEMATICAL & COMPUTATIONAL BIOLOGY

CiteScore

4.90

自引率

3.60%

发文量

审稿时长

33 weeks

期刊介绍： Journal of Biological Dynamics, an open access journal, publishes state of the art papers dealing with the analysis of dynamic models that arise from biological processes. The Journal focuses on dynamic phenomena at scales ranging from the level of individual organisms to that of populations, communities, and ecosystems in the fields of ecology and evolutionary biology, population dynamics, epidemiology, immunology, neuroscience, environmental science, and animal behavior. Papers in other areas are acceptable at the editors’ discretion. In addition to papers that analyze original mathematical models and develop new theories and analytic methods, the Journal welcomes papers that connect mathematical modeling and analysis to experimental and observational data. The Journal also publishes short notes, expository and review articles, book reviews and a section on open problems.