Rock-scissors-paper game in a chaotic flow: The effect of dispersion on the cyclic competition of microorganisms

Karolyi, Gyorgy, Neufeld, Zoltan and Scheuring, Istvan (2005) Rock-scissors-paper game in a chaotic flow: The effect of dispersion on the cyclic competition of microorganisms. Journal of Theoretical Biology, 236 1: 12-20. doi:10.1016/j.jtbi.2005.02.012


Author Karolyi, Gyorgy
Neufeld, Zoltan
Scheuring, Istvan
Title Rock-scissors-paper game in a chaotic flow: The effect of dispersion on the cyclic competition of microorganisms
Journal name Journal of Theoretical Biology   Check publisher's open access policy
ISSN 0022-5193
1095-8541
Publication date 2005-09-01
Year available 2005
Sub-type Article (original research)
DOI 10.1016/j.jtbi.2005.02.012
Open Access Status Not yet assessed
Volume 236
Issue 1
Start page 12
End page 20
Total pages 9
Place of publication London, United Kingdom
Publisher Academic Press
Language eng
Abstract Laboratory experiments and numerical simulations have shown that the outcome of cyclic competition is significantly affected by the spatial distribution of the competitors. Short-range interaction and limited dispersion allows for coexistence of competing species that cannot coexist in a well-mixed environment. In order to elucidate the mechanisms that destroy species diversity we study the intermediate situation of imperfect mixing, typical in aquatic media, in a model of cyclic competition between toxin producing, sensitive and resistant phenotypes. It is found, that chaotic mixing, by changing the character of the spatial distribution, induces coherent oscillations in the populations. The magnitude of the oscillations increases with the strength of mixing, leading to the extinction of some species beyond a critical mixing rate. When mixing is non-uniform in space, coexistence can be sustained at much stronger mixing by the formation of partially isolated regions, that prevent global extinction. The heterogeneity of mixing may enable toxin producing and sensitive strains to coexist for very long time at strong mixing.
Keyword chaotic-mixing
coexistence
non-transitive competition
rock-scissors-paper game
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
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Created: Tue, 31 Jan 2012, 21:52:18 EST by Kay Mackie on behalf of School of Mathematics & Physics