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 1 4区数学 Q3 STATISTICS & PROBABILITY

Methodology and Computing in Applied Probability 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

Methodology and Computing in Applied Probability 数学-统计学与概率论

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Methodology and Computing in Applied Probability will publish high quality research and review articles in the areas of applied probability that emphasize methodology and computing. Of special interest are articles in important areas of applications that include detailed case studies. Applied probability is a broad research area that is of interest to many scientists in diverse disciplines including: anthropology, biology, communication theory, economics, epidemiology, finance, linguistics, meteorology, operations research, psychology, quality control, reliability theory, sociology and statistics. The following alphabetical listing of topics of interest to the journal is not intended to be exclusive but to demonstrate the editorial policy of attracting papers which represent a broad range of interests: -Algorithms- Approximations- Asymptotic Approximations & Expansions- Combinatorial & Geometric Probability- Communication Networks- Extreme Value Theory- Finance- Image Analysis- Inequalities- Information Theory- Mathematical Physics- Molecular Biology- Monte Carlo Methods- Order Statistics- Queuing Theory- Reliability Theory- Stochastic Processes