捕食者中具有Holling II递增函数的随机捕食者-猎物模型。

IF 1.8 4区数学 Q3 ECOLOGY

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI:10.1080/17513758.2020.1859146

Youlin Huang, Wanying Shi, Chunjin Wei, Shuwen Zhang

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引用次数: 15

摘要

本文研究了一个随机捕食者-猎物模型，该模型在捕食者中具有Holling II递增函数。利用Lyapunov分析方法，证明了全局正解的存在唯一性。然后我们证明了在模型中存在一个平稳分布，这意味着捕食者和猎物的随机持久性。此外，我们还分别得到了捕食者灭绝和被捕食者灭绝的充分条件。最后，通过一些数值模拟来说明我们的主要结果，并给出了讨论和结论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A stochastic predator-prey model with Holling II increasing function in the predator.

This paper is concerned with a stochastic predator-prey model with Holling II increasing function in the predator. By applying the Lyapunov analysis method, we demonstrate the existence and uniqueness of the global positive solution. Then we show there is a stationary distribution which implies the stochastic persistence of the predator and prey in the model. Moreover, we obtain respectively sufficient conditions for weak persistence in the mean and extinction of the prey and extinction of the predator. Finally, some numerical simulations are given to illustrate our main results and the discussion and conclusion are presented.

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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.