带有分布式延迟和收获的随机制度转换四物种食物链模型的动态变化

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-17 DOI:10.1007/s11009-024-10095-w

Sheng Wang, Lijuan Dong

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引用次数: 0

摘要

本文涉及一个随机制度转换的四物种食物链模型的动力学，该模型具有分布式延迟、莱维跳跃和污染环境中的收获。首先，在一些基本假设下，建立了各物种随机持续和灭绝的判据。然后，得到了最优收获政策（OHP）存在的充分和必要条件，以及最优收获努力（OHE）和可持续产量最大期望（MESY）的表达式。揭示了环境噪声和延迟对模型的随机持久性、灭绝和 OHP 的影响。对无电话噪声或分布式延迟的食物链模型的一些结果进行了扩展和改进。

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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Dynamics of a Stochastic Regime-Switching Four-Species Food Chain Model with Distributed Delays and Harvesting

This paper concerns the dynamics of a stochastic regime-switching four-species food chain model with distributed delays, Lévy jumps and harvesting in a polluted environment. First, under some basic assumptions, criterions about stochastic persistence and extinction of each species are established. Then, sufficient and necessary conditions for the existence of optimal harvesting policy (OHP) are obtained, as well as the expressions for the optimal harvesting effort (OHE) and the maximum of expectation of sustainable yield (MESY). The effects of both environmental noises and delays on the stochastic persistence, extinction and OHP of the model are revealed. Some results on food chain models without telephone noises or distributed delays are extended and improved.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.