具有复杂类型噪声的非自治多物种霍林 II 型模型的渐近行为

IF 0.7 4区数学 Q3 STATISTICS & PROBABILITY Stat Pub Date : 2024-03-05 DOI:10.1002/sta4.667

Libai Xu, Xintong Ma, Yanyan Zhao

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引用次数: 0

摘要

为推断多物种群落结构，有人提出了确定性非自主多物种霍林 II 型模型及其具有简单噪声类型的随机模型。然而，这些模型未能考虑复杂类型的噪声，这可能会使模型过于简单。本文提出了一种具有复杂噪声类型的非自主多物种霍林 II 型模型。我们建立了解的各种数学性质的充分条件，包括存在性和唯一性、随机永久性和消亡。此外，我们还提供了数值模拟研究来说明我们的理论发现。

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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Asymptotic behaviour of a non‐autonomous multispecies Holling type II model with a complex type of noises

The deterministic non‐autonomous multispecies Holling type II model and its stochastic version with a simple type of noise have been proposed to infer multispecies community structure. However, these models fail to account for complex types of noises, which may render the model overly simplistic. In this paper, a non‐autonomous multispecies Holling type II model with a complex type of noise has been proposed. We establish sufficient conditions for various mathematical properties of the solutions, including existence and uniqueness, stochastic permanence and extinction. Additionally, numerical simulation studies are provided to illustrate our theoretical findings.

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来源期刊

Stat Decision Sciences-Statistics, Probability and Uncertainty

CiteScore

1.10

自引率

0.00%

发文量

期刊介绍： Stat is an innovative electronic journal for the rapid publication of novel and topical research results, publishing compact articles of the highest quality in all areas of statistical endeavour. Its purpose is to provide a means of rapid sharing of important new theoretical, methodological and applied research. Stat is a joint venture between the International Statistical Institute and Wiley-Blackwell. Stat is characterised by: • Speed - a high-quality review process that aims to reach a decision within 20 days of submission. • Concision - a maximum article length of 10 pages of text, not including references. • Supporting materials - inclusion of electronic supporting materials including graphs, video, software, data and images. • Scope - addresses all areas of statistics and interdisciplinary areas. Stat is a scientific journal for the international community of statisticians and researchers and practitioners in allied quantitative disciplines.