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

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 th...

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Detalhes bibliográficos
Autores: Li, Lin Lin, Ferreira, Cláudia Pio [UNESP], Ainseba, Bedreddine
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:Brasil
Recursos:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/190118
Acesso em linha:http://dx.doi.org/10.1016/j.nonrwa.2019.01.019
http://hdl.handle.net/11449/190118
Access Level:acceso abierto
Palavra-chave:Asymptotic behaviour
Blood-feeding behaviour
Infinitesimal generator
Descrição
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.