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Title:Vortices determine the dynamics of biodiversity in cyclical interactions with protection spillovers
Authors:ID Szolnoki, Attila (Author)
ID Perc, Matjaž (Author)
Files:.pdf New_Journal_of_Physics_2015_Szolnoki,_Perc_Vortices_determine_the_dynamics_of_biodiversity_in_cyclical_interactions_with_protection_spil.pdf (1,32 MB)
MD5: D7593EC30767693714C104A0E60D3D18
 
URL http://stacks.iop.org/1367-2630/17/i=11/a=113033?key=crossref.b4eef018af5f28213aa9b99a0900a8a9
 
Language:English
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:If rock beats scissors and scissors beat paper, one might assume that rock beats paper too. But this is not the case for intransitive relationships that make up the famous rock-paper-scissors game. However, the sole presence of paper might prevent rock from beating scissors, simply because paper beats rock. This is the blueprint for the rock-paper-scissors game with protection spillovers, which has recently been introduced as a new paradigm for biodiversity in well-mixed microbial populations. Here we study the game in structured populations, demonstrating that protection spillovers give rise to spatial patterns that are impossible to observe in the classical rock-paper-scissors game.Weshow that the spatiotemporal dynamics of the system is determined by the density of stable vortices, which may ultimately transform to frozen states, to propagating waves, or to target waves with reversed propagation direction, depending further on the degree and type of randomness in the interactions among the species. If vortices are rare, the fixation to waves and complex oscillatory solutions is likelier. Moreover, annealed randomness in interactions favors the emergence of target waves, while quenched randomness favors collective synchronization. Our results demonstrate that protection spillovers may fundamentally change the dynamics of cyclic dominance in structured populations, and they outline the possibility of programming pattern formation in microbial populations.
Keywords:cyclical interactions, pattern formation, vortices, phase transitions, selforganization, biodiversity
Publication status:Published
Publication version:Version of Record
Year of publishing:2015
Number of pages:str. 1-12
Numbering:Letn. 17
PID:20.500.12556/DKUM-60189 New window
ISSN:1367-2630
UDC:53
ISSN on article:1367-2630
COBISS.SI-ID:21771272 New window
DOI:10.1088/1367-2630/17/11/113033 New window
NUK URN:URN:SI:UM:DK:4G6FKRYX
Publication date in DKUM:03.07.2017
Views:1206
Downloads:429
Metadata:XML DC-XML DC-RDF
Categories:Misc.
:
SZOLNOKI, Attila and PERC, Matjaž, 2015, Vortices determine the dynamics of biodiversity in cyclical interactions with protection spillovers. New journal of physics [online]. 2015. Vol. 17, p. 1–12. [Accessed 20 January 2025]. DOI 10.1088/1367-2630/17/11/113033. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=60189
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Record is a part of a journal

Title:New journal of physics
Publisher:Institute of Physics Publishing, Deutsche Physikalische Gesellschaft
ISSN:1367-2630
COBISS.SI-ID:21135621 New window

Document is financed by a project

Funder:ARRS - Slovenian Research Agency
Project number:P5-0027
Name:Prilagajanje slovenskega gospodarstva in razvojna identiteta Slovenije v EU

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:09.06.2016

Secondary language

Language:Slovenian
Keywords:ciklične interakcije, prostorski vzorci, vrtinci, fazni prehodi, samoorganizacija, biodiverziteta


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