Mathematical analysis of an age structured problem modelling phenotypic plasticity in mosquito behaviour

Detalhes bibliográficos
Autor(a) principal: Li, Lin Lin
Data de Publicação: 2019
Outros Autores: Ferreira, Cláudia Pio [UNESP], Ainseba, Bedreddine
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.nonrwa.2019.01.019
http://hdl.handle.net/11449/190118
Resumo: This paper presents an age structured problem modelling mosquito blood-feeding plasticity in a natural environment. We first investigate the analytical asymptotic solution through studying the spectrum of an operator A which is the infinitesimal generator of a C 0 -semigroup. Indeed, the study of the spectrum of A per se is interesting. Additionally, we get the existence and nonexistence of nonnegative steady solutions under some conditions.
id UNSP_56514a44f225ed3a468f6fc7e08c2da2
oai_identifier_str oai:repositorio.unesp.br:11449/190118
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Mathematical analysis of an age structured problem modelling phenotypic plasticity in mosquito behaviourAsymptotic behaviourBlood-feeding behaviourInfinitesimal generatorThis paper presents an age structured problem modelling mosquito blood-feeding plasticity in a natural environment. We first investigate the analytical asymptotic solution through studying the spectrum of an operator A which is the infinitesimal generator of a C 0 -semigroup. Indeed, the study of the spectrum of A per se is interesting. Additionally, we get the existence and nonexistence of nonnegative steady solutions under some conditions.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Institut de Mathématiques de Bordeaux Université de BordeauxDepartment of Biostatistics Institute of Biosciences São Paulo State University (UNESP)Department of Biostatistics Institute of Biosciences São Paulo State University (UNESP)FAPESP: 14/07615-3Université de BordeauxUniversidade Estadual Paulista (Unesp)Li, Lin LinFerreira, Cláudia Pio [UNESP]Ainseba, Bedreddine2019-10-06T17:02:55Z2019-10-06T17:02:55Z2019-08-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article410-423http://dx.doi.org/10.1016/j.nonrwa.2019.01.019Nonlinear Analysis: Real World Applications, v. 48, p. 410-423.1468-1218http://hdl.handle.net/11449/19011810.1016/j.nonrwa.2019.01.0192-s2.0-8506160418720527496982046170000-0002-9404-6098Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonlinear Analysis: Real World Applicationsinfo:eu-repo/semantics/openAccess2021-11-18T18:14:13Zoai:repositorio.unesp.br:11449/190118Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:14:08.602110Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Mathematical analysis of an age structured problem modelling phenotypic plasticity in mosquito behaviour
title Mathematical analysis of an age structured problem modelling phenotypic plasticity in mosquito behaviour
spellingShingle Mathematical analysis of an age structured problem modelling phenotypic plasticity in mosquito behaviour
Li, Lin Lin
Asymptotic behaviour
Blood-feeding behaviour
Infinitesimal generator
title_short Mathematical analysis of an age structured problem modelling phenotypic plasticity in mosquito behaviour
title_full Mathematical analysis of an age structured problem modelling phenotypic plasticity in mosquito behaviour
title_fullStr Mathematical analysis of an age structured problem modelling phenotypic plasticity in mosquito behaviour
title_full_unstemmed Mathematical analysis of an age structured problem modelling phenotypic plasticity in mosquito behaviour
title_sort Mathematical analysis of an age structured problem modelling phenotypic plasticity in mosquito behaviour
author Li, Lin Lin
author_facet Li, Lin Lin
Ferreira, Cláudia Pio [UNESP]
Ainseba, Bedreddine
author_role author
author2 Ferreira, Cláudia Pio [UNESP]
Ainseba, Bedreddine
author2_role author
author
dc.contributor.none.fl_str_mv Université de Bordeaux
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Li, Lin Lin
Ferreira, Cláudia Pio [UNESP]
Ainseba, Bedreddine
dc.subject.por.fl_str_mv Asymptotic behaviour
Blood-feeding behaviour
Infinitesimal generator
topic Asymptotic behaviour
Blood-feeding behaviour
Infinitesimal generator
description This paper presents an age structured problem modelling mosquito blood-feeding plasticity in a natural environment. We first investigate the analytical asymptotic solution through studying the spectrum of an operator A which is the infinitesimal generator of a C 0 -semigroup. Indeed, the study of the spectrum of A per se is interesting. Additionally, we get the existence and nonexistence of nonnegative steady solutions under some conditions.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-06T17:02:55Z
2019-10-06T17:02:55Z
2019-08-01
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.nonrwa.2019.01.019
Nonlinear Analysis: Real World Applications, v. 48, p. 410-423.
1468-1218
http://hdl.handle.net/11449/190118
10.1016/j.nonrwa.2019.01.019
2-s2.0-85061604187
2052749698204617
0000-0002-9404-6098
url http://dx.doi.org/10.1016/j.nonrwa.2019.01.019
http://hdl.handle.net/11449/190118
identifier_str_mv Nonlinear Analysis: Real World Applications, v. 48, p. 410-423.
1468-1218
10.1016/j.nonrwa.2019.01.019
2-s2.0-85061604187
2052749698204617
0000-0002-9404-6098
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Nonlinear Analysis: Real World Applications
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 410-423
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_ 1808129038398521344

Registros relacionados