Weak Allee effects population growth models in a random environment

Detalhes bibliográficos
Autor(a) principal: Braumann, Carlos A.
Data de Publicação: 2015
Outros Autores: Carlos, Clara
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/16855
Resumo: Based on a deterministic model of population growth with weak Allee e ffects, we propose a general stochastic model that incorporates environmental random fluctuations in the growth process. We study the model properties, existence and uniqueness of solution, the stationary behavior and mean and variance of the time to extinction of the population. We then consider as an example the particular case of a stochastic model with Allee e ffects based on the classic logistic model.
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spelling Weak Allee effects population growth models in a random environmentweak Allee effectsstochastic differential equationsrandom environmentsextinction timesBased on a deterministic model of population growth with weak Allee e ffects, we propose a general stochastic model that incorporates environmental random fluctuations in the growth process. We study the model properties, existence and uniqueness of solution, the stationary behavior and mean and variance of the time to extinction of the population. We then consider as an example the particular case of a stochastic model with Allee e ffects based on the classic logistic model.Fundação para a Ciência e a Tecnologia e CIMA, Projeto UID/MAT/04674/2013International Statistical Institute2016-01-26T15:08:17Z2016-01-262015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/16855http://hdl.handle.net/10174/16855engBraumann, C. A., Carlos, C. (2015). Weak Allee effects population growth models in a random environment. Proceedings of the 60th ISI World Statistics Congress, p. 2455-2460.978-90-73592-35-3http://www.isi2015.org/components/com_users/views/registration/tmpl/media/uploadedFiles/paper/2056/10900/PP-B13-P14-S.pdfhttp://www.isi2015.org/components/com_users/views/registration/tmpl/media/uploadedFiles/abstract/2056/10900/PP-B13-P14-A.pdfMAT - Artigos em Livros de Atas/Proceedingsbraumann@uevora.ptClara.Carlos@estbarreiro.ips.pt340Braumann, Carlos A.Carlos, Clarainfo: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:RCAAP2024-01-03T19:03:55Zoai:dspace.uevora.pt:10174/16855Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:09:06.820383Repositório 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 Weak Allee effects population growth models in a random environment
title Weak Allee effects population growth models in a random environment
spellingShingle Weak Allee effects population growth models in a random environment
Braumann, Carlos A.
weak Allee effects
stochastic differential equations
random environments
extinction times
title_short Weak Allee effects population growth models in a random environment
title_full Weak Allee effects population growth models in a random environment
title_fullStr Weak Allee effects population growth models in a random environment
title_full_unstemmed Weak Allee effects population growth models in a random environment
title_sort Weak Allee effects population growth models in a random environment
author Braumann, Carlos A.
author_facet Braumann, Carlos A.
Carlos, Clara
author_role author
author2 Carlos, Clara
author2_role author
dc.contributor.author.fl_str_mv Braumann, Carlos A.
Carlos, Clara
dc.subject.por.fl_str_mv weak Allee effects
stochastic differential equations
random environments
extinction times
topic weak Allee effects
stochastic differential equations
random environments
extinction times
description Based on a deterministic model of population growth with weak Allee e ffects, we propose a general stochastic model that incorporates environmental random fluctuations in the growth process. We study the model properties, existence and uniqueness of solution, the stationary behavior and mean and variance of the time to extinction of the population. We then consider as an example the particular case of a stochastic model with Allee e ffects based on the classic logistic model.
publishDate 2015
dc.date.none.fl_str_mv 2015-01-01T00:00:00Z
2016-01-26T15:08:17Z
2016-01-26
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/10174/16855
http://hdl.handle.net/10174/16855
url http://hdl.handle.net/10174/16855
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Braumann, C. A., Carlos, C. (2015). Weak Allee effects population growth models in a random environment. Proceedings of the 60th ISI World Statistics Congress, p. 2455-2460.
978-90-73592-35-3
http://www.isi2015.org/components/com_users/views/registration/tmpl/media/uploadedFiles/paper/2056/10900/PP-B13-P14-S.pdf
http://www.isi2015.org/components/com_users/views/registration/tmpl/media/uploadedFiles/abstract/2056/10900/PP-B13-P14-A.pdf
MAT - Artigos em Livros de Atas/Proceedings
braumann@uevora.pt
Clara.Carlos@estbarreiro.ips.pt
340
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv International Statistical Institute
publisher.none.fl_str_mv International Statistical Institute
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
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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
repository.mail.fl_str_mv
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