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

Author

Listed:
  • Li, Lin Lin
  • Ferreira, Cláudia Pio
  • Ainseba, Bedreddine

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 Lk are used to get the controllability.

Suggested Citation

  • Li, Lin Lin & Ferreira, Cláudia Pio & Ainseba, Bedreddine, 2022. "Local exact controllability of an age structured problem modelling phenotypic plasticity in mosquito behaviour," Applied Mathematics and Computation, Elsevier, vol. 423(C).
    • Handle: RePEc:eee:apmaco:v:423:y:2022:i:c:s0096300322001114
    DOI: 10.1016/j.amc.2022.127025
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    References listed on IDEAS

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    1. Bedr'eddine Ainseba & Sebastian Anita, 2001. "Local exact controllability of the age-dependent population dynamics with diffusion," Abstract and Applied Analysis, Hindawi, vol. 6, pages 1-12, January.
    2. Ellie Sherrard-Smith & Jamie T. Griffin & Peter Winskill & Vincent Corbel & Cédric Pennetier & Armel Djénontin & Sarah Moore & Jason H. Richardson & Pie Müller & Constant Edi & Natacha Protopopoff & R, 2018. "Systematic review of indoor residual spray efficacy and effectiveness against Plasmodium falciparum in Africa," Nature Communications, Nature, vol. 9(1), pages 1-13, December.
    Full references (including those not matched with items on IDEAS)

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