Three-species predator–prey stochastic delayed model driven by Lévy jumps and with cooperation among prey species

Detalhes bibliográficos
Autor(a) principal: Danane, Jaouad
Data de Publicação: 2023
Outros Autores: Torres, Delfim F. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/36679
Resumo: Our study focuses on analyzing the behavior of a stochastic predator–prey model with a time delay and logistic growth of prey, influenced by Lévy noise. Initially, we establish the existence, uniqueness, and boundedness of a positive solution that spans globally. Subsequently, we explore the conditions under which extinction occurs, and identify adequate criteria for persistence. Finally, we validate our theoretical findings through numerical simulations, which also helps illustrate the dynamics of the stochastic delayed predator–prey model based on different criteria.
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spelling Three-species predator–prey stochastic delayed model driven by Lévy jumps and with cooperation among prey speciesPrey-predator systemStochastic persistence and extinctionLogistic growth rateLévy noiseTime delaysOur study focuses on analyzing the behavior of a stochastic predator–prey model with a time delay and logistic growth of prey, influenced by Lévy noise. Initially, we establish the existence, uniqueness, and boundedness of a positive solution that spans globally. Subsequently, we explore the conditions under which extinction occurs, and identify adequate criteria for persistence. Finally, we validate our theoretical findings through numerical simulations, which also helps illustrate the dynamics of the stochastic delayed predator–prey model based on different criteria.MDPI2023-03-28T09:49:23Z2023-03-25T00:00:00Z2023-03-25info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/36679eng10.3390/math11071595Danane, JaouadTorres, Delfim F. M.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:RCAAP2024-02-22T12:10:42Zoai:ria.ua.pt:10773/36679Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:07:24.089300Repositório 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 Three-species predator–prey stochastic delayed model driven by Lévy jumps and with cooperation among prey species
title Three-species predator–prey stochastic delayed model driven by Lévy jumps and with cooperation among prey species
spellingShingle Three-species predator–prey stochastic delayed model driven by Lévy jumps and with cooperation among prey species
Danane, Jaouad
Prey-predator system
Stochastic persistence and extinction
Logistic growth rate
Lévy noise
Time delays
title_short Three-species predator–prey stochastic delayed model driven by Lévy jumps and with cooperation among prey species
title_full Three-species predator–prey stochastic delayed model driven by Lévy jumps and with cooperation among prey species
title_fullStr Three-species predator–prey stochastic delayed model driven by Lévy jumps and with cooperation among prey species
title_full_unstemmed Three-species predator–prey stochastic delayed model driven by Lévy jumps and with cooperation among prey species
title_sort Three-species predator–prey stochastic delayed model driven by Lévy jumps and with cooperation among prey species
author Danane, Jaouad
author_facet Danane, Jaouad
Torres, Delfim F. M.
author_role author
author2 Torres, Delfim F. M.
author2_role author
dc.contributor.author.fl_str_mv Danane, Jaouad
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Prey-predator system
Stochastic persistence and extinction
Logistic growth rate
Lévy noise
Time delays
topic Prey-predator system
Stochastic persistence and extinction
Logistic growth rate
Lévy noise
Time delays
description Our study focuses on analyzing the behavior of a stochastic predator–prey model with a time delay and logistic growth of prey, influenced by Lévy noise. Initially, we establish the existence, uniqueness, and boundedness of a positive solution that spans globally. Subsequently, we explore the conditions under which extinction occurs, and identify adequate criteria for persistence. Finally, we validate our theoretical findings through numerical simulations, which also helps illustrate the dynamics of the stochastic delayed predator–prey model based on different criteria.
publishDate 2023
dc.date.none.fl_str_mv 2023-03-28T09:49:23Z
2023-03-25T00:00:00Z
2023-03-25
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/10773/36679
url http://hdl.handle.net/10773/36679
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.3390/math11071595
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 MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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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