Anisotropic probabilistic cellular automaton for a predator-prey system
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | |
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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Brazilian Journal of Physics |
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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 |
_version_ |
1754734863787753472 |