Persistence of a competition model of plankton allelopathy in time–space periodic environment

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-13 DOI:10.1016/j.nonrwa.2024.104136

Li-Jun Du, Li Zhang, Qian Cao

引用次数: 0

Abstract

This work is devoted to the study of a competition model of plankton allelopathy imposed in time-space periodic environment. We prove that the system admits positive periodic solutions under certain conditions. We further obtain some sufficient conditions for the uniqueness and global stability of the positive periodic solution, which shows that the model is persistent. The main tools for our arguments are comparison theorems based on the maximum principle, sub- and supersolutions method, and an iteration method, which also permit the treatment of some more general reaction–diffusion models in periodic environment.

查看原文本刊更多论文

浮游生物等位基因竞争模型在时空周期性环境中的持续性

这项工作致力于研究时空周期性环境中浮游生物等位基因竞争模型。我们证明该系统在一定条件下存在正周期解。我们进一步得到了正周期解的唯一性和全局稳定性的一些充分条件，这表明该模型是持久的。我们论证的主要工具是基于最大值原理的比较定理、子溶液和超溶液方法以及迭代法，它们也允许处理周期环境中一些更一般的反应扩散模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.