Global stability of coexistence equilibria for n-species models of facultative mutualism

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-03 DOI:10.1016/j.jtbi.2024.111961

Paul Georgescu , Hong Zhang

{"title":"Global stability of coexistence equilibria for n-species models of facultative mutualism","authors":"Paul Georgescu , Hong Zhang","doi":"10.1016/j.jtbi.2024.111961","DOIUrl":null,"url":null,"abstract":"<div><div>We further pursue an investigation on an abstract model characterizing the dynamics of a general class of <span><math><mi>n</mi></math></span>-species facultative mutualisms that was initiated in Georgescu et al. (2017), establishing biologically relevant sufficient conditions for the global asymptotic stability of the coexistence equilibria. These conditions are given in terms of per-species limits of growth-to-loss ratios computed at higher population densities, complemented by either monotonicity or sublinearity inequalities, and are observed to hold for <span><math><mi>n</mi></math></span>-species versions of mutualistic models in current use. The specific modeling details that require either of these conditions being satisfied are outlined and discussed. As mutualisms can enhance species diversification and facilitate stable coexistence via a plethora of mechanisms, it is then important to understand the stability of speciose mutualisms, our results being of potential interest to theoretical ecologists studying the coexistence of many interacting species and to conservationists aiming for rare species preservation.</div></div>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"99","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022519324002467","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

Abstract

We further pursue an investigation on an abstract model characterizing the dynamics of a general class of

n

-species facultative mutualisms that was initiated in Georgescu et al. (2017), establishing biologically relevant sufficient conditions for the global asymptotic stability of the coexistence equilibria. These conditions are given in terms of per-species limits of growth-to-loss ratios computed at higher population densities, complemented by either monotonicity or sublinearity inequalities, and are observed to hold for

n

-species versions of mutualistic models in current use. The specific modeling details that require either of these conditions being satisfied are outlined and discussed. As mutualisms can enhance species diversification and facilitate stable coexistence via a plethora of mechanisms, it is then important to understand the stability of speciose mutualisms, our results being of potential interest to theoretical ecologists studying the coexistence of many interacting species and to conservationists aiming for rare species preservation.

查看原文本刊更多论文

n种互惠模式共存平衡的全局稳定性。

我们进一步研究了一个抽象模型，该模型描述了 Georgescu 等人（2017 年）提出的一般 n 种亲缘互惠关系的动态特征，为共存均衡的全局渐进稳定性建立了生物学相关的充分条件。这些条件是以在较高种群密度下计算的每物种生长-损失比的极限值给出的，并辅以单调性或亚线性不等式，据观察，这些条件在目前使用的 n 种互生模型中都是成立的。本文概述并讨论了需要满足上述任一条件的具体建模细节。由于互惠关系可以通过多种机制提高物种多样性并促进稳定共存，因此了解物种互惠关系的稳定性非常重要，我们的研究结果对于研究多种相互作用物种共存的理论生态学家和旨在保护稀有物种的保护主义者具有潜在的意义。

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.