产量可变的非搅拌恒温器的共存和动力学行为

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-20 DOI:10.1016/j.nonrwa.2024.104179

Lin Wang, Jianhua Wu

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引用次数: 0

摘要

本文论述了在非搅拌恒温器中两个物种竞争单一限制性营养资源的 PDE 模型，其中一个微生物物种的产量是可变的。可变产量的引入使得守恒定律失效。我们首先研究了单物种模型正稳态解的唯一性和动力学行为。然后，我们建立了双物种系统共存解的存在性和结构。结果发现，正分岔分支连接着两个半三解分支。最后，我们分析了双物种系统的动力学行为，结果表明双物种系统具有均匀持久性。

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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Coexistence and dynamical behavior for an unstirred chemostat with variable yield

This paper deals with a PDE model of two species competing for a single limiting nutrient resource in the unstirred chemostat in which one microbial species is of the variable yield. The introduction of the variable yield makes the conservation law fail. We first investigate the uniqueness of positive steady-state solution and dynamical behavior of the single species model. Then we establish the existence and structure of coexistence solutions of two species system. It turns out that the positive bifurcation branch connects two semi-trivial solution branch. Finally, we analyze the dynamical behavior of two species system, and the result shows that the two species system is uniformly persistent.

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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.