具有额外食物、恐惧效应和反捕食行为的随机反应-扩散捕食者-猎物模型的平稳分布

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-05-16 DOI:10.1016/j.aml.2025.109612

Haokun Qi, Jiani Jin, Bing Liu, Baolin Kang

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引用次数: 0

摘要

平稳分布作为随机过程中的一个基本概念，对于研究种群的长期行为和稳定性具有重要意义。本文提出了一个具有附加食物、恐惧效应和反捕食行为的随机反应-扩散捕食者-猎物模型，该模型的随机波动具有Ornstein-Uhlenbeck过程的特征。通过构造Lyapunov函数，证明了随机模型平稳分布的存在唯一性。此外，本研究对齐和刘（2024）的研究进行了延伸。

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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Stationary distribution of a stochastic reaction–diffusion predator–prey model with additional food, fear effect and anti-predator behavior

The stationary distribution, as a fundamental concept in stochastic processes, is of great significance for exploring the long-term behavior and stability of populations. In this paper, a stochastic reaction–diffusion predator–prey model with additional food, fear effect and anti-predator behavior is proposed, in which the stochastic fluctuations are characterized by a Ornstein–Uhlenbeck process. We proved the existence and uniqueness of the stationary distribution of the stochastic model by constructing the Lyapunov function. Moreover, this study extends the work of Qi and Liu (2024).

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.