The sample-path dynamics of a stochastic Holling-II type slow-fast predator-prey system

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-06-11 DOI:10.1016/j.jmaa.2025.129791

Ping Li , Yiliu Wang

引用次数: 0

Abstract

In this paper, we consider the effect of small (but not exponentially small) additive noise on the trajectories of a Holling-II type slow-fast predator-prey system, which admits a turning point, a fold point, and a unique limit cycle. We quantitatively describe the sample-path dynamics of the stochastic predator-prey system by estimating the probability that the perturbed stochastic paths stay in some tubular neighborhood of the deterministic orbits.

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随机Holling-II型慢-快捕食-食饵系统的样本路径动力学

本文考虑了小的（但不是指数小的）加性噪声对Holling-II型慢-快捕食者-食饵系统轨迹的影响，该系统允许一个拐点、一个折叠点和一个唯一极限环。通过估计被摄动的随机路径停留在确定性轨道的管状邻域中的概率，定量地描述了随机捕食者-猎物系统的样本路径动力学。

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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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.