Expanding spatial domains and transient scaling regimes in populations with local cyclic competition

We investigate a six-species class of May-Leonard models leading to the formation of two types of competing spatial domains, each one inhabited by three species with their own internal cyclic rock-paper-scissors dynamics. We study the resulting population dynamics using stochastic numerical simulat...

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Principais autores:	Avelino, P. P., Silva, Josinaldo Menezes, Oliveira, B. F. de, Pereira, T. A.
Formato:	article
Idioma:	English
Publicado em:	American Physical Society
Assuntos:	May-Leonard models Stochastic numerical
Endereço do item:	https://repositorio.ufrn.br/jspui/handle/123456789/29855
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id	ri-123456789-29855
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spelling	ri-123456789-298552020-08-23T07:25:49Z Expanding spatial domains and transient scaling regimes in populations with local cyclic competition Avelino, P. P. Silva, Josinaldo Menezes Oliveira, B. F. de Pereira, T. A. May-Leonard models Stochastic numerical We investigate a six-species class of May-Leonard models leading to the formation of two types of competing spatial domains, each one inhabited by three species with their own internal cyclic rock-paper-scissors dynamics. We study the resulting population dynamics using stochastic numerical simulations in two-dimensional space. We find that as three-species domains shrink, there is an increasing probability of extinction of two of the species inhabiting the domain, with the consequent creation of one-species domains. We determine the critical initial radius beyond which these one-species spatial domains are expected to expand. We further show that a transient scaling regime, with a slower average growth rate of the characteristic length scale L of the spatial domains with time t, takes place before the transition to a standard L ∝ t 1/2 scaling law, resulting in an extended period of coexistence. 2020-08-19T13:56:30Z 2020-08-19T13:56:30Z 2019 article AVELINO, P. P.; MENEZES, J.; OLIVEIRA, B. F. de; PEREIRA, T. A.. Expanding spatial domains and transient scaling regimes in populations with local cyclic competition. Physical Review E, [s.l.], v. 99, n. 5, p. 052310, 24 maio 2019. Disponível em: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.99.052310. Acesso em: 18 ago. 2020. http://dx.doi.org/10.1103/physreve.99.052310. 2470-0045 https://repositorio.ufrn.br/jspui/handle/123456789/29855 10.1103/physreve.99.052310. en application/pdf American Physical Society
institution	Repositório Institucional
collection	RI - UFRN
language	English
topic	May-Leonard models Stochastic numerical
spellingShingle	May-Leonard models Stochastic numerical Avelino, P. P. Silva, Josinaldo Menezes Oliveira, B. F. de Pereira, T. A. Expanding spatial domains and transient scaling regimes in populations with local cyclic competition
description	We investigate a six-species class of May-Leonard models leading to the formation of two types of competing spatial domains, each one inhabited by three species with their own internal cyclic rock-paper-scissors dynamics. We study the resulting population dynamics using stochastic numerical simulations in two-dimensional space. We find that as three-species domains shrink, there is an increasing probability of extinction of two of the species inhabiting the domain, with the consequent creation of one-species domains. We determine the critical initial radius beyond which these one-species spatial domains are expected to expand. We further show that a transient scaling regime, with a slower average growth rate of the characteristic length scale L of the spatial domains with time t, takes place before the transition to a standard L ∝ t 1/2 scaling law, resulting in an extended period of coexistence.
format	article
author	Avelino, P. P. Silva, Josinaldo Menezes Oliveira, B. F. de Pereira, T. A.
author_facet	Avelino, P. P. Silva, Josinaldo Menezes Oliveira, B. F. de Pereira, T. A.
author_sort	Avelino, P. P.
title	Expanding spatial domains and transient scaling regimes in populations with local cyclic competition
title_short	Expanding spatial domains and transient scaling regimes in populations with local cyclic competition
title_full	Expanding spatial domains and transient scaling regimes in populations with local cyclic competition
title_fullStr	Expanding spatial domains and transient scaling regimes in populations with local cyclic competition
title_full_unstemmed	Expanding spatial domains and transient scaling regimes in populations with local cyclic competition
title_sort	expanding spatial domains and transient scaling regimes in populations with local cyclic competition
publisher	American Physical Society
publishDate	2020
url	https://repositorio.ufrn.br/jspui/handle/123456789/29855
work_keys_str_mv	AT avelinopp expandingspatialdomainsandtransientscalingregimesinpopulationswithlocalcycliccompetition AT silvajosinaldomenezes expandingspatialdomainsandtransientscalingregimesinpopulationswithlocalcycliccompetition AT oliveirabfde expandingspatialdomainsandtransientscalingregimesinpopulationswithlocalcycliccompetition AT pereirata expandingspatialdomainsandtransientscalingregimesinpopulationswithlocalcycliccompetition
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Expanding spatial domains and transient scaling regimes in populations with local cyclic competition

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