Existence and internal structure of the deterministic attracting set for a random ant colonies model

IF 1.2 4区工程技术 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fluctuation and Noise Letters Pub Date : 2023-11-04 DOI:10.1142/s0219477524500068

Hongcui Wang, Chaoqun Xu

引用次数: 0

Abstract

This paper is concerned with the attracting set of an ant colonies model with bounded noisy perturbation. This perturbation is modeled by the well-known Ornstein–Uhlenbeck process and the arc tangent function. For the random model, we first verify the existence and uniqueness of the global positive solution, and then prove the existence of the deterministic attracting set. Furthermore, in order to reveal more detailed information about the long-time behavior of the ant colonies system, we analyze the internal structure of the attracting set and provide some conditions under which coexistence (or extinction) of the ant species exists in the ant colonies system.

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随机蚁群模型确定性吸引集的存在性和内部结构

研究具有有界噪声扰动的蚁群模型的吸引集问题。这种扰动由著名的Ornstein-Uhlenbeck过程和arctan函数来模拟。对于随机模型，首先验证了全局正解的存在唯一性，然后证明了确定性吸引集的存在性。此外，为了更详细地揭示蚁群系统的长期行为，我们分析了吸引集的内部结构，并提供了蚁群系统中存在蚁种共存(或灭绝)的一些条件。

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

Fluctuation and Noise Letters 工程技术-数学跨学科应用

CiteScore

2.90

自引率

22.20%

发文量

审稿时长

>12 weeks

期刊介绍： Fluctuation and Noise Letters (FNL) is unique. It is the only specialist journal for fluctuations and noise, and it covers that topic throughout the whole of science in a completely interdisciplinary way. High standards of refereeing and editorial judgment are guaranteed by the selection of Editors from among the leading scientists of the field. FNL places equal emphasis on both fundamental and applied science and the name "Letters" is to indicate speed of publication, rather than a limitation on the lengths of papers. The journal uses on-line submission and provides for immediate on-line publication of accepted papers. FNL is interested in interdisciplinary articles on random fluctuations, quite generally. For example: noise enhanced phenomena including stochastic resonance; 1/f noise; shot noise; fluctuation-dissipation; cardiovascular dynamics; ion channels; single molecules; neural systems; quantum fluctuations; quantum computation; classical and quantum information; statistical physics; degradation and aging phenomena; percolation systems; fluctuations in social systems; traffic; the stock market; environment and climate; etc.