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

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

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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.

Local exact controllabilityAn age structured modelBiting time shiftPOPULATIONDEPENDENCEEQUATIONSDYNAMICS

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

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Univ Shanghai Sci & Technol

Sao Paulo State Univ UNESP

Univ Bordeaux

2022

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN:0096-3003
年,卷(期):2022.423
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