Complex network near-synchronization for non-identical predator-prey systems

Detalhes bibliográficos
Autor(a) principal: Cantin, G.
Data de Publicação: 2022
Outros Autores: Silva, C. J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10071/26811
Resumo: In this paper, we analyze the properties of a complex network of predator-prey systems, modeling the ecological dynamics of interacting species living in a fragmented environment. We consider non-identical instances of a Lotka-Volterra model with Holling type II functional response, which undergoes a Hopf bifurcation, and focus on the possible synchronization of distinct local behaviours. We prove an original result for the near-synchronization of non-identical systems, which shows how to and to what extent an extinction dynamic can be driven to a persistence equilibrium. Our theoretical statements are illustrated by appropriate numerical simulations.
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spelling Complex network near-synchronization for non-identical predator-prey systemsComplex networkNon-identical systemsSynchronizationEcologyIn this paper, we analyze the properties of a complex network of predator-prey systems, modeling the ecological dynamics of interacting species living in a fragmented environment. We consider non-identical instances of a Lotka-Volterra model with Holling type II functional response, which undergoes a Hopf bifurcation, and focus on the possible synchronization of distinct local behaviours. We prove an original result for the near-synchronization of non-identical systems, which shows how to and to what extent an extinction dynamic can be driven to a persistence equilibrium. Our theoretical statements are illustrated by appropriate numerical simulations.American Institute of Mathematical Sciences (AIMS)2022-12-27T16:15:15Z2022-01-01T00:00:00Z20222022-12-27T16:14:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/26811eng2473-698810.3934/math.20221093Cantin, G.Silva, C. J.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-09T17:55:54Zoai:repositorio.iscte-iul.pt:10071/26811Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:28:35.310893Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Complex network near-synchronization for non-identical predator-prey systems
title Complex network near-synchronization for non-identical predator-prey systems
spellingShingle Complex network near-synchronization for non-identical predator-prey systems
Cantin, G.
Complex network
Non-identical systems
Synchronization
Ecology
title_short Complex network near-synchronization for non-identical predator-prey systems
title_full Complex network near-synchronization for non-identical predator-prey systems
title_fullStr Complex network near-synchronization for non-identical predator-prey systems
title_full_unstemmed Complex network near-synchronization for non-identical predator-prey systems
title_sort Complex network near-synchronization for non-identical predator-prey systems
author Cantin, G.
author_facet Cantin, G.
Silva, C. J.
author_role author
author2 Silva, C. J.
author2_role author
dc.contributor.author.fl_str_mv Cantin, G.
Silva, C. J.
dc.subject.por.fl_str_mv Complex network
Non-identical systems
Synchronization
Ecology
topic Complex network
Non-identical systems
Synchronization
Ecology
description In this paper, we analyze the properties of a complex network of predator-prey systems, modeling the ecological dynamics of interacting species living in a fragmented environment. We consider non-identical instances of a Lotka-Volterra model with Holling type II functional response, which undergoes a Hopf bifurcation, and focus on the possible synchronization of distinct local behaviours. We prove an original result for the near-synchronization of non-identical systems, which shows how to and to what extent an extinction dynamic can be driven to a persistence equilibrium. Our theoretical statements are illustrated by appropriate numerical simulations.
publishDate 2022
dc.date.none.fl_str_mv 2022-12-27T16:15:15Z
2022-01-01T00:00:00Z
2022
2022-12-27T16:14:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10071/26811
url http://hdl.handle.net/10071/26811
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2473-6988
10.3934/math.20221093
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences (AIMS)
publisher.none.fl_str_mv American Institute of Mathematical Sciences (AIMS)
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instacron:RCAAP
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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