Local exact controllability of an age structured problem modelling phenotypic plasticity in mosquito behaviour

Autor(es)

Li, Lin Lin ; Ferreira, Claudia Pio ; Ainseba, Bedreddine

• Tipo de documento: Artigo Científico
• Fonte: Applied Mathematics and Computation; v. 423, p. 19-pg., 2022-06-15.

Resumo

In this paper, we investigate the local exact controllability of an age structured problem modelling the ability of malaria vectors to shift their biting time to avoid the stressful environmental conditions generated by the use of indoor residual spraying (IRS) and insecticide-treated nets (ITNs). We establish a new Carleman's inequality for our age diffusive model with nonlocal birth process and periodic biting time boundary conditions. Some estimates of the theory of parabolic boundary value problems in L-k are used to get the controllability. (c) 2022 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 15/20059-5 - Modelando as mudanças comportamentais do mosquito Anopheles após a introdução de ITNs e RIS
• Beneficiário: Silas Poloni Lyra
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Iniciação Científica