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

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Author(s):
Li, Lin Lin ; Ferreira, Claudia Pio ; Ainseba, Bedreddine
Total Authors: 3
Document type: Journal article
Source: Applied Mathematics and Computation; v. 423, p. 19-pg., 2022-06-15.
Abstract

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)

FAPESP's process: 15/20059-5 - Modelling the behavior change of Anopheles population after the introduction of ITNs and RIs
Grantee:Silas Poloni Lyra
Support Opportunities: Scholarships abroad - Research Internship - Scientific Initiation