Critical patch-size for two-sex populations
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.mbs.2018.03.028 http://hdl.handle.net/11449/176128 |
Resumo: | As environments become increasingly degraded, mainly due to human activities, species are often subject to isolated habitats surrounded by unfavorable regions. Since the pioneering work by Skellam [25] mathematical models have provided useful insights into the population persistence in such cases. Most of these models, however, neglect the sex structure of populations and the differences between males and females. In this work we investigate, through a reaction-diffusion system, the dynamics of a sex-structured population in a single semipermeable patch. The critical patch size for persistence is determined from implicit relationships between model parameters. The effects of the various growth and movement parameters are also investigated. |
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Repositório Institucional da UNESP |
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Critical patch-size for two-sex populationsCritical patch sizeHabitat lossReaction-diffusion equationsTwo-sex modelAs environments become increasingly degraded, mainly due to human activities, species are often subject to isolated habitats surrounded by unfavorable regions. Since the pioneering work by Skellam [25] mathematical models have provided useful insights into the population persistence in such cases. Most of these models, however, neglect the sex structure of populations and the differences between males and females. In this work we investigate, through a reaction-diffusion system, the dynamics of a sex-structured population in a single semipermeable patch. The critical patch size for persistence is determined from implicit relationships between model parameters. The effects of the various growth and movement parameters are also investigated.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Instituto de Física Teórica Universidade Estadual Paulista - UNESP, R. Dr. Teobaldo Ferraz 271Centro de Matemática Computação e Cognição, UFABCInstituto de Física Teórica Universidade Estadual Paulista - UNESPInstituto de Física Teórica Universidade Estadual Paulista - UNESP, R. Dr. Teobaldo Ferraz 271Instituto de Física Teórica Universidade Estadual Paulista - UNESPCNPq: #2011/08166-0FAPESP: #2014/23497-0Universidade Estadual Paulista (Unesp)Universidade Federal do ABC (UFABC)Andreguetto Maciel, Gabriel [UNESP]Mendes Coutinho, RenatoAndré Kraenkel, Roberto [UNESP]2018-12-11T17:19:10Z2018-12-11T17:19:10Z2018-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article138-144application/pdfhttp://dx.doi.org/10.1016/j.mbs.2018.03.028Mathematical Biosciences, v. 300, p. 138-144.1879-31340025-5564http://hdl.handle.net/11449/17612810.1016/j.mbs.2018.03.0282-s2.0-850448528602-s2.0-85044852860.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematical Biosciences0,663info:eu-repo/semantics/openAccess2024-01-21T06:24:23Zoai:repositorio.unesp.br:11449/176128Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-21T06:24:23Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Critical patch-size for two-sex populations |
title |
Critical patch-size for two-sex populations |
spellingShingle |
Critical patch-size for two-sex populations Andreguetto Maciel, Gabriel [UNESP] Critical patch size Habitat loss Reaction-diffusion equations Two-sex model |
title_short |
Critical patch-size for two-sex populations |
title_full |
Critical patch-size for two-sex populations |
title_fullStr |
Critical patch-size for two-sex populations |
title_full_unstemmed |
Critical patch-size for two-sex populations |
title_sort |
Critical patch-size for two-sex populations |
author |
Andreguetto Maciel, Gabriel [UNESP] |
author_facet |
Andreguetto Maciel, Gabriel [UNESP] Mendes Coutinho, Renato André Kraenkel, Roberto [UNESP] |
author_role |
author |
author2 |
Mendes Coutinho, Renato André Kraenkel, Roberto [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Universidade Federal do ABC (UFABC) |
dc.contributor.author.fl_str_mv |
Andreguetto Maciel, Gabriel [UNESP] Mendes Coutinho, Renato André Kraenkel, Roberto [UNESP] |
dc.subject.por.fl_str_mv |
Critical patch size Habitat loss Reaction-diffusion equations Two-sex model |
topic |
Critical patch size Habitat loss Reaction-diffusion equations Two-sex model |
description |
As environments become increasingly degraded, mainly due to human activities, species are often subject to isolated habitats surrounded by unfavorable regions. Since the pioneering work by Skellam [25] mathematical models have provided useful insights into the population persistence in such cases. Most of these models, however, neglect the sex structure of populations and the differences between males and females. In this work we investigate, through a reaction-diffusion system, the dynamics of a sex-structured population in a single semipermeable patch. The critical patch size for persistence is determined from implicit relationships between model parameters. The effects of the various growth and movement parameters are also investigated. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-11T17:19:10Z 2018-12-11T17:19:10Z 2018-06-01 |
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://dx.doi.org/10.1016/j.mbs.2018.03.028 Mathematical Biosciences, v. 300, p. 138-144. 1879-3134 0025-5564 http://hdl.handle.net/11449/176128 10.1016/j.mbs.2018.03.028 2-s2.0-85044852860 2-s2.0-85044852860.pdf |
url |
http://dx.doi.org/10.1016/j.mbs.2018.03.028 http://hdl.handle.net/11449/176128 |
identifier_str_mv |
Mathematical Biosciences, v. 300, p. 138-144. 1879-3134 0025-5564 10.1016/j.mbs.2018.03.028 2-s2.0-85044852860 2-s2.0-85044852860.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Mathematical Biosciences 0,663 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
138-144 application/pdf |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1803650318625406976 |