Anisotropic probabilistic cellular automaton for a predator-prey system

Detalhes bibliográficos
Autor(a) principal: Carvalho,Kelly C. de
Data de Publicação: 2007
Outros Autores: Tomé,Tânia
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000300020
Resumo: We consider a probabilistic cellular automaton to analyze the stochastic dynamics of a predator-prey system. The local rules are Markovian and are based in the Lotka-Volterra model. The individuals of each species reside on the sites of a lattice and interact with an unsymmetrical neighborhood. We look for the effect of the space anisotropy in the characterization of the oscillations of the species population densities. Our study of the probabilistic cellular automaton is based on simple and pair mean-field approximations and explicitly takes into account spatial anisotropy.
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spelling Anisotropic probabilistic cellular automaton for a predator-prey systemCellular automataPredator-prey systemsSpatial modelsSpatio-temporal patternsMean-field approachWe consider a probabilistic cellular automaton to analyze the stochastic dynamics of a predator-prey system. The local rules are Markovian and are based in the Lotka-Volterra model. The individuals of each species reside on the sites of a lattice and interact with an unsymmetrical neighborhood. We look for the effect of the space anisotropy in the characterization of the oscillations of the species population densities. Our study of the probabilistic cellular automaton is based on simple and pair mean-field approximations and explicitly takes into account spatial anisotropy.Sociedade Brasileira de Física2007-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000300020Brazilian Journal of Physics v.37 n.2a 2007reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332007000300020info:eu-repo/semantics/openAccessCarvalho,Kelly C. deTomé,Tâniaeng2007-07-17T00:00:00Zoai:scielo:S0103-97332007000300020Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2007-07-17T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Anisotropic probabilistic cellular automaton for a predator-prey system
title Anisotropic probabilistic cellular automaton for a predator-prey system
spellingShingle Anisotropic probabilistic cellular automaton for a predator-prey system
Carvalho,Kelly C. de
Cellular automata
Predator-prey systems
Spatial models
Spatio-temporal patterns
Mean-field approach
title_short Anisotropic probabilistic cellular automaton for a predator-prey system
title_full Anisotropic probabilistic cellular automaton for a predator-prey system
title_fullStr Anisotropic probabilistic cellular automaton for a predator-prey system
title_full_unstemmed Anisotropic probabilistic cellular automaton for a predator-prey system
title_sort Anisotropic probabilistic cellular automaton for a predator-prey system
author Carvalho,Kelly C. de
author_facet Carvalho,Kelly C. de
Tomé,Tânia
author_role author
author2 Tomé,Tânia
author2_role author
dc.contributor.author.fl_str_mv Carvalho,Kelly C. de
Tomé,Tânia
dc.subject.por.fl_str_mv Cellular automata
Predator-prey systems
Spatial models
Spatio-temporal patterns
Mean-field approach
topic Cellular automata
Predator-prey systems
Spatial models
Spatio-temporal patterns
Mean-field approach
description We consider a probabilistic cellular automaton to analyze the stochastic dynamics of a predator-prey system. The local rules are Markovian and are based in the Lotka-Volterra model. The individuals of each species reside on the sites of a lattice and interact with an unsymmetrical neighborhood. We look for the effect of the space anisotropy in the characterization of the oscillations of the species population densities. Our study of the probabilistic cellular automaton is based on simple and pair mean-field approximations and explicitly takes into account spatial anisotropy.
publishDate 2007
dc.date.none.fl_str_mv 2007-06-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000300020
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000300020
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332007000300020
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.37 n.2a 2007
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
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