Role of intraspecific competition in the coexistence of mobile populations in spatially extended ecosystems

Rui Yang, Wen-Xu Wang, Ying-Cheng Lai, Celso Grebogi

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

Evolutionary-game based models of nonhierarchical, cyclically competing populations have become paradigmatic for addressing the fundamental problem of species coexistence in spatially extended ecosystems. We study the role of intraspecific competition in the coexistence and find that the competition can strongly promote the coexistence for high individual mobility in the sense that stable coexistence can arise in parameter regime where extinction would occur without the competition. The critical value of the competition rate beyond which the coexistence is induced is found to be independent of the mobility. We derive a theoretical model based on nonlinear partial differential equations to predict the critical competition rate and the boundaries between the coexistence and extinction regions in a relevant parameter space. We also investigate pattern formation and well-mixed spatiotemporal population dynamics to gain further insights into our findings. (C) 2010 American Institute of Physics. [doi:10.1063/1.3431629]

Original languageEnglish
Article number023113
Number of pages6
JournalChaos
Volume20
Issue number2
DOIs
Publication statusPublished - Jun 2010

Keywords

  • rock-paper-scissors
  • food webs
  • promotes biodiversity
  • game
  • hypercycles
  • evolution
  • predation
  • allelopathy
  • stability
  • dynamics

Cite this

Role of intraspecific competition in the coexistence of mobile populations in spatially extended ecosystems. / Yang, Rui; Wang, Wen-Xu; Lai, Ying-Cheng; Grebogi, Celso.

In: Chaos, Vol. 20, No. 2, 023113, 06.2010.

Research output: Contribution to journalArticle

@article{1111854411544a848a7add6ba7f1bffe,
title = "Role of intraspecific competition in the coexistence of mobile populations in spatially extended ecosystems",
abstract = "Evolutionary-game based models of nonhierarchical, cyclically competing populations have become paradigmatic for addressing the fundamental problem of species coexistence in spatially extended ecosystems. We study the role of intraspecific competition in the coexistence and find that the competition can strongly promote the coexistence for high individual mobility in the sense that stable coexistence can arise in parameter regime where extinction would occur without the competition. The critical value of the competition rate beyond which the coexistence is induced is found to be independent of the mobility. We derive a theoretical model based on nonlinear partial differential equations to predict the critical competition rate and the boundaries between the coexistence and extinction regions in a relevant parameter space. We also investigate pattern formation and well-mixed spatiotemporal population dynamics to gain further insights into our findings. (C) 2010 American Institute of Physics. [doi:10.1063/1.3431629]",
keywords = "rock-paper-scissors, food webs, promotes biodiversity, game, hypercycles, evolution, predation, allelopathy, stability, dynamics",
author = "Rui Yang and Wen-Xu Wang and Ying-Cheng Lai and Celso Grebogi",
year = "2010",
month = "6",
doi = "10.1063/1.3431629",
language = "English",
volume = "20",
journal = "Chaos",
issn = "1054-1500",
publisher = "American Institute of Physics",
number = "2",

}

TY - JOUR

T1 - Role of intraspecific competition in the coexistence of mobile populations in spatially extended ecosystems

AU - Yang, Rui

AU - Wang, Wen-Xu

AU - Lai, Ying-Cheng

AU - Grebogi, Celso

PY - 2010/6

Y1 - 2010/6

N2 - Evolutionary-game based models of nonhierarchical, cyclically competing populations have become paradigmatic for addressing the fundamental problem of species coexistence in spatially extended ecosystems. We study the role of intraspecific competition in the coexistence and find that the competition can strongly promote the coexistence for high individual mobility in the sense that stable coexistence can arise in parameter regime where extinction would occur without the competition. The critical value of the competition rate beyond which the coexistence is induced is found to be independent of the mobility. We derive a theoretical model based on nonlinear partial differential equations to predict the critical competition rate and the boundaries between the coexistence and extinction regions in a relevant parameter space. We also investigate pattern formation and well-mixed spatiotemporal population dynamics to gain further insights into our findings. (C) 2010 American Institute of Physics. [doi:10.1063/1.3431629]

AB - Evolutionary-game based models of nonhierarchical, cyclically competing populations have become paradigmatic for addressing the fundamental problem of species coexistence in spatially extended ecosystems. We study the role of intraspecific competition in the coexistence and find that the competition can strongly promote the coexistence for high individual mobility in the sense that stable coexistence can arise in parameter regime where extinction would occur without the competition. The critical value of the competition rate beyond which the coexistence is induced is found to be independent of the mobility. We derive a theoretical model based on nonlinear partial differential equations to predict the critical competition rate and the boundaries between the coexistence and extinction regions in a relevant parameter space. We also investigate pattern formation and well-mixed spatiotemporal population dynamics to gain further insights into our findings. (C) 2010 American Institute of Physics. [doi:10.1063/1.3431629]

KW - rock-paper-scissors

KW - food webs

KW - promotes biodiversity

KW - game

KW - hypercycles

KW - evolution

KW - predation

KW - allelopathy

KW - stability

KW - dynamics

U2 - 10.1063/1.3431629

DO - 10.1063/1.3431629

M3 - Article

VL - 20

JO - Chaos

JF - Chaos

SN - 1054-1500

IS - 2

M1 - 023113

ER -