Heterogeneous network promotes species coexistence: metapopulation model for rock-paper-scissors game

Abstract Understanding mechanisms of biodiversity has been a central question in ecology. The coexistence of three species in rock-paper-scissors (RPS) systems are discussed by many authors; however, the relation between coexistence and network structure is rarely discussed. Here we present a metapo...

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Autores principales:	Takashi Nagatani, Genki Ichinose, Kei-ichi Tainaka
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/874ce36eeccd40de82c3c93d7bd4d6d7
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id	oai:doaj.org-article:874ce36eeccd40de82c3c93d7bd4d6d7
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spelling	oai:doaj.org-article:874ce36eeccd40de82c3c93d7bd4d6d72021-12-02T16:08:27ZHeterogeneous network promotes species coexistence: metapopulation model for rock-paper-scissors game10.1038/s41598-018-25353-42045-2322https://doaj.org/article/874ce36eeccd40de82c3c93d7bd4d6d72018-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-25353-4https://doaj.org/toc/2045-2322Abstract Understanding mechanisms of biodiversity has been a central question in ecology. The coexistence of three species in rock-paper-scissors (RPS) systems are discussed by many authors; however, the relation between coexistence and network structure is rarely discussed. Here we present a metapopulation model for RPS game. The total population is assumed to consist of three subpopulations (nodes). Each individual migrates by random walk; the destination of migration is randomly determined. From reaction-migration equations, we obtain the population dynamics. It is found that the dynamic highly depends on network structures. When a network is homogeneous, the dynamics are neutrally stable: each node has a periodic solution, and the oscillations synchronize in all nodes. However, when a network is heterogeneous, the dynamics approach stable focus and all nodes reach equilibriums with different densities. Hence, the heterogeneity of the network promotes biodiversity.Takashi NagataniGenki IchinoseKei-ichi TainakaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-9 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Takashi Nagatani Genki Ichinose Kei-ichi Tainaka Heterogeneous network promotes species coexistence: metapopulation model for rock-paper-scissors game
description	Abstract Understanding mechanisms of biodiversity has been a central question in ecology. The coexistence of three species in rock-paper-scissors (RPS) systems are discussed by many authors; however, the relation between coexistence and network structure is rarely discussed. Here we present a metapopulation model for RPS game. The total population is assumed to consist of three subpopulations (nodes). Each individual migrates by random walk; the destination of migration is randomly determined. From reaction-migration equations, we obtain the population dynamics. It is found that the dynamic highly depends on network structures. When a network is homogeneous, the dynamics are neutrally stable: each node has a periodic solution, and the oscillations synchronize in all nodes. However, when a network is heterogeneous, the dynamics approach stable focus and all nodes reach equilibriums with different densities. Hence, the heterogeneity of the network promotes biodiversity.
format	article
author	Takashi Nagatani Genki Ichinose Kei-ichi Tainaka
author_facet	Takashi Nagatani Genki Ichinose Kei-ichi Tainaka
author_sort	Takashi Nagatani
title	Heterogeneous network promotes species coexistence: metapopulation model for rock-paper-scissors game
title_short	Heterogeneous network promotes species coexistence: metapopulation model for rock-paper-scissors game
title_full	Heterogeneous network promotes species coexistence: metapopulation model for rock-paper-scissors game
title_fullStr	Heterogeneous network promotes species coexistence: metapopulation model for rock-paper-scissors game
title_full_unstemmed	Heterogeneous network promotes species coexistence: metapopulation model for rock-paper-scissors game
title_sort	heterogeneous network promotes species coexistence: metapopulation model for rock-paper-scissors game
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/874ce36eeccd40de82c3c93d7bd4d6d7
work_keys_str_mv	AT takashinagatani heterogeneousnetworkpromotesspeciescoexistencemetapopulationmodelforrockpaperscissorsgame AT genkiichinose heterogeneousnetworkpromotesspeciescoexistencemetapopulationmodelforrockpaperscissorsgame AT keiichitainaka heterogeneousnetworkpromotesspeciescoexistencemetapopulationmodelforrockpaperscissorsgame
_version_	1718384482186166272

Heterogeneous network promotes species coexistence: metapopulation model for rock-paper-scissors game

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