具有季节波动的营养物-浮游生物模型的随机周期解

IF 1.3 4区数学 Q3 BIOLOGY

Journal of Biological Systems 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

Journal of Biological Systems 生物-生物学

CiteScore

2.80

自引率

12.50%

发文量

审稿时长

1 months

期刊介绍： The Journal of Biological Systems is published quarterly. The goal of the Journal is to promote interdisciplinary approaches in Biology and in Medicine, and the study of biological situations with a variety of tools, including mathematical and general systems methods. The Journal solicits original research papers and survey articles in areas that include (but are not limited to): Complex systems studies; isomorphies; nonlinear dynamics; entropy; mathematical tools and systems theories with applications in Biology and Medicine. Interdisciplinary approaches in Biology and Medicine; transfer of methods from one discipline to another; integration of biological levels, from atomic to molecular, macromolecular, cellular, and organic levels; animal biology; plant biology. Environmental studies; relationships between individuals, populations, communities and ecosystems; bioeconomics, management of renewable resources; hierarchy theory; integration of spatial and time scales. Evolutionary biology; co-evolutions; genetics and evolution; branching processes and phyllotaxis. Medical systems; physiology; cardiac modeling; computer models in Medicine; cancer research; epidemiology. Numerical simulations and computations; numerical study and analysis of biological data. Epistemology; history of science. The journal will also publish book reviews.