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

Yuan He () and Bedr’Eddine Ainseba ()
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Yuan He: UMR CNRS 5251, Université de Bordeaux
Bedr’Eddine Ainseba: UMR CNRS 5251, Université de Bordeaux

Journal of Optimization Theory and Applications, 2013, vol. 157, issue 3, No 19, 918-933

Abstract: 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.

Keywords: Population dynamics; Integral partial differential equation; Exact null controllability; Characteristics method; Fixed point theorem (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0194-3

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