具有季节波动的营养物-浮游生物模型的随机周期解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-11-04 DOI:10.1142/s0218339022500255

Qing Guo, Chuanjun Dai, Lijun Wang, He Liu, Yi Wang, Jianbing Li, Min Zhao

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引用次数: 1

摘要

本文建立了具有季节性波动的随机营养物-浮游生物模型，研究了季节性和环境噪声对水生生态系统动态的影响。首先，提出了浮游生物的生存分析。然后，利用周期马尔可夫过程的Lyapunov函数和Khasminskii理论，给出了周期正解存在的充分条件。数值模拟结果表明，季节波动有利于浮游生物物种的共存。

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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STOCHASTIC PERIODIC SOLUTION OF A NUTRIENT–PLANKTON MODEL WITH SEASONAL FLUCTUATION

In this paper, a stochastic nutrient–plankton model with seasonal fluctuation was developed to investigate how seasonality and environmental noise affect the dynamics of aquatic ecosystems. First, the survival analysis of plankton was proposed. Then, by using Lyapunov function and Khasminskii’s theory for periodic Markov processes, we derive the sufficient conditions for the existence of positive periodic solution. The numerical simulations were carried out to provide a better understanding of the model, and the results indicate that seasonal fluctuation is beneficial to the coexistence of plankton species.

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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.

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