Effect of competition on emergent phases and phase transitions in competitive systems

IF 1.2 4区生物学 Q4 ECOLOGY

Theoretical Population Biology Pub Date : 2025-02-01 DOI:10.1016/j.tpb.2024.12.003

Shikun Wang , Yuanshi Wang , Hong Wu

{"title":"Effect of competition on emergent phases and phase transitions in competitive systems","authors":"Shikun Wang , Yuanshi Wang , Hong Wu","doi":"10.1016/j.tpb.2024.12.003","DOIUrl":null,"url":null,"abstract":"<div><div>This paper considers Lotka–Volterra competitive systems characterizing laboratory experiment by Hu et al. (Science, 378:85-89, 2022). Using dynamical systems theory and projection method, we give theoretical analysis and numerical simulation on the model with four species by demonstrating equilibrium stability, periodic oscillation and chaotic fluctuation in the systems. It is shown that varying one competition strength could lead to emergent phases and phase transitions between stable full coexistence, stable partial coexistence, stable persistence of a unique species, persistent periodic oscillation, and persistent chaotic fluctuation in a smooth fashion. Here, the stronger the competition is, the less the number of stable coexisting species, or the higher the amplitude of periodic oscillation, or the more irregular the fluctuation. Our results are consistent with experimental observation and provide new insight. This work is important in understanding effect of competition on emergent phases and phase transitions in competitive systems.</div></div>","PeriodicalId":49437,"journal":{"name":"Theoretical Population Biology","volume":"161 ","pages":"Pages 34-41"},"PeriodicalIF":1.2000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical Population Biology","FirstCategoryId":"99","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0040580924001060","RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECOLOGY","Score":null,"Total":0}

引用次数: 0

Abstract

This paper considers Lotka–Volterra competitive systems characterizing laboratory experiment by Hu et al. (Science, 378:85-89, 2022). Using dynamical systems theory and projection method, we give theoretical analysis and numerical simulation on the model with four species by demonstrating equilibrium stability, periodic oscillation and chaotic fluctuation in the systems. It is shown that varying one competition strength could lead to emergent phases and phase transitions between stable full coexistence, stable partial coexistence, stable persistence of a unique species, persistent periodic oscillation, and persistent chaotic fluctuation in a smooth fashion. Here, the stronger the competition is, the less the number of stable coexisting species, or the higher the amplitude of periodic oscillation, or the more irregular the fluctuation. Our results are consistent with experimental observation and provide new insight. This work is important in understanding effect of competition on emergent phases and phase transitions in competitive systems.

查看原文本刊更多论文

竞争对竞争系统中涌现阶段和相变的影响。

本文考虑了Lotka-Volterra竞争系统特征的实验室实验，由Hu等人（科学，378:85- 89,2022）。利用动力系统理论和投影方法，对该模型进行了理论分析和数值模拟，证明了系统的平衡稳定性、周期振荡和混沌涨落。研究表明，改变一种竞争强度可以导致出现相和稳定的完全共存、稳定的部分共存、一个独特物种的稳定持续、持续的周期振荡和持续的混沌波动之间的平稳相变。在这里，竞争越强，稳定共存物种的数量越少，或者周期振荡的幅度越大，或者波动越不规则。我们的结果与实验观察一致，并提供了新的见解。这项工作对于理解竞争系统中竞争对涌现阶段和相变的影响具有重要意义。

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

Theoretical Population Biology 生物-进化生物学

CiteScore

2.50

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： An interdisciplinary journal, Theoretical Population Biology presents articles on theoretical aspects of the biology of populations, particularly in the areas of demography, ecology, epidemiology, evolution, and genetics. Emphasis is on the development of mathematical theory and models that enhance the understanding of biological phenomena. Articles highlight the motivation and significance of the work for advancing progress in biology, relying on a substantial mathematical effort to obtain biological insight. The journal also presents empirical results and computational and statistical methods directly impinging on theoretical problems in population biology.