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

Autor(es)

Li, Lin Lin ^[1] ; Ferreira, Claudia Pio ^[2] ; Ainseba, Bedreddine ^[1]

Afiliação do(s) autor(es)

^[1] Univ Bordeaux, Inst Math Bordeaux, Bordeaux - France

^[2] Sao Paulo State Univ UNESP, Inst Biosci, Dept Biostat, Botucatu, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 48, p. 410-423, AUG 2019.
• Citações Web of Science: 0

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. (C) 2019 Elsevier Ltd. All rights reserved. (AU)

• Processo FAPESP: 14/07615-3 - Impacto do uso de inseticidas no controle do mosquito Anopheles vetor do plasmódio agente causador da Malária
• Beneficiário: Silas Poloni Lyra
• Linha de fomento: Bolsas no Brasil - Iniciação Científica