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Exact Null Controllability of a Stage and Age-Structured Population Dynamics System

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Abstract

This paper is concerned with the exact null controllability of an age-dependent life cycle dynamics with nonlocal transition processes arising as boundary conditions. We investigate the controllability for the pest by acting on eggs in a small age interval. The main method is based on the derivation of estimations for the adjoint variables related to an optimal control problem. A fixed point theorem is then used to draw conclusions.

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Authors and Affiliations

  1. Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Université de Bordeaux, 3 ter Place de la Victoire, 33076, Bordeaux Cedex, France

    Yuan He & Bedr’Eddine Ainseba

  2. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, China

    Yuan He

Authors
  1. Yuan He
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  2. Bedr’Eddine Ainseba
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Correspondence to Yuan He.

Additional information

Communicated by Viorel Barbu.

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He, Y., Ainseba, B. Exact Null Controllability of a Stage and Age-Structured Population Dynamics System. J Optim Theory Appl 157, 918–933 (2013). https://doi.org/10.1007/s10957-012-0194-3

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  • DOI: https://doi.org/10.1007/s10957-012-0194-3

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