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Local exact controllability of the age-dependent population dynamics with diffusion

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  • Bedr'eddine Ainseba
  • Sebastian Anita

Abstract

We investigate the local exact controllability of a linear age and space population dynamics model where the birth process is nonlocal. The methods we use combine the Carleman estimates for the backward adjoint system, some estimates in the theory of parabolic boundary value problems in L   k and the Banach fixed point theorem.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlaaa:924964
    DOI: 10.1155/S108533750100063X
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    Cited by:

    1. 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).
    2. Somdouda Sawadogo & Mifiamba Soma, 2019. "Boundary Null Controllability With Constrained Control for a Nonlinear Two Stroke System: Application to Boundary Sentinel and Identification of Parameters in a Nonlinear Population Dynamics Model," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(4), pages 51-68, August.

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