Interface networks in models of competing species

We study a subclass of the May–Leonard stochastic model with an arbitrary, even number of species, leading to the rise of two competing partnerships where individuals are indistinguishable. By carrying out a series of accurate numerical stochastic simulations, we show that alliances compete each oth...

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Principais autores: Pereira, T. A., Silva, Josinaldo Menezes da, Losano, L.
Formato: article
Idioma:English
Publicado em: World Scientific Publishing
Assuntos:
Population dynamics
Numerical simulations
Topological defects
Endereço do item:https://repositorio.ufrn.br/jspui/handle/123456789/29869
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spelling ri-123456789-298692020-08-23T07:25:31Z Interface networks in models of competing species Pereira, T. A. Silva, Josinaldo Menezes da Losano, L. Population dynamics Numerical simulations Topological defects We study a subclass of the May–Leonard stochastic model with an arbitrary, even number of species, leading to the rise of two competing partnerships where individuals are indistinguishable. By carrying out a series of accurate numerical stochastic simulations, we show that alliances compete each other forming spatial domains bounded by interfaces of empty sites. We solve numerically the mean field equations associated with the stochastic model in one and two spatial dimensions. We demonstrate that the stationary interface profile presents topological properties which are related to the asymptotic spatial distribution of species of enemy alliances far away from the interface core. Finally, we introduce a theoretical approach to model the formation of stable interfaces using spontaneous breaking of a discrete symmetry. We show that all the results provided by the soliton topological model, presented here for the very first time, are in agreement with the stochastic simulations and may be used as a tool for understanding the complex biodiversity in nature 2020-08-20T14:19:21Z 2020-08-20T14:19:21Z 2018 article PEREIRA, T. A.; MENEZES, J.; LOSANO, L.. Interface networks in models of competing species. International Journal of Modeling, Simulation, And Scientific Computing, [S.L.], v. 09, n. 05, p. 1850046, out. 2018. Disponível em: https://www.worldscientific.com/doi/abs/10.1142/S1793962318500460. Acesso em: 19 ago. 2020. http://dx.doi.org/10.1142/s1793962318500460. 1793-9623 https://repositorio.ufrn.br/jspui/handle/123456789/29869 10.1142/s1793962318500460. en Attribution-NonCommercial-NoDerivs 3.0 Brazil http://creativecommons.org/licenses/by-nc-nd/3.0/br/ application/pdf World Scientific Publishing
institution Repositório Institucional
collection RI - UFRN
language English
topic Population dynamics
Numerical simulations
Topological defects
spellingShingle Population dynamics
Numerical simulations
Topological defects
Pereira, T. A.
Silva, Josinaldo Menezes da
Losano, L.
Interface networks in models of competing species
description We study a subclass of the May–Leonard stochastic model with an arbitrary, even number of species, leading to the rise of two competing partnerships where individuals are indistinguishable. By carrying out a series of accurate numerical stochastic simulations, we show that alliances compete each other forming spatial domains bounded by interfaces of empty sites. We solve numerically the mean field equations associated with the stochastic model in one and two spatial dimensions. We demonstrate that the stationary interface profile presents topological properties which are related to the asymptotic spatial distribution of species of enemy alliances far away from the interface core. Finally, we introduce a theoretical approach to model the formation of stable interfaces using spontaneous breaking of a discrete symmetry. We show that all the results provided by the soliton topological model, presented here for the very first time, are in agreement with the stochastic simulations and may be used as a tool for understanding the complex biodiversity in nature
format article
author Pereira, T. A.
Silva, Josinaldo Menezes da
Losano, L.
author_facet Pereira, T. A.
Silva, Josinaldo Menezes da
Losano, L.
author_sort Pereira, T. A.
title Interface networks in models of competing species
title_short Interface networks in models of competing species
title_full Interface networks in models of competing species
title_fullStr Interface networks in models of competing species
title_full_unstemmed Interface networks in models of competing species
title_sort interface networks in models of competing species
publisher World Scientific Publishing
publishDate 2020
url https://repositorio.ufrn.br/jspui/handle/123456789/29869
work_keys_str_mv AT pereirata interfacenetworksinmodelsofcompetingspecies
AT silvajosinaldomenezesda interfacenetworksinmodelsofcompetingspecies
AT losanol interfacenetworksinmodelsofcompetingspecies
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