Electron. J. Diff. Eqns., Vol. 2003(2003), No. 28, pp. 1-9.
Optimal control for a nonlinear age-structured population
dynamics model
Bedr'Eddine Ainseba, Sebastian Anita, & Michel Langlais
Abstract:
We investigate the optimal harvesting problem for a nonlinear
age-dependent and spatially structured population dynamics model
where the birth process is described by a nonlocal and nonlinear
boundary condition. We establish an existence and uniqueness
result and prove the existence of an optimal control.
We also establish necessary optimality conditions.
Submitted January 4, 2003. Published March 16, 2003.
Math Subject Classifications: 35D10, 49J20, 49K20, 92D25.
Key Words: Optimal control, optimality conditions,
age-structured population dynamics.
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Bedr'Eddine Ainseba
Mathematiques Appliquees de Bordeaux, UMR CNRS 5466
Case 26, UFR Sciences et Modelisation
Universite Victor Segalen Bordeaux 2
33076 Bordeaux Cedex, France
email: ainseba@sm.u-bordeaux2.fr
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Sebastian Anita
Faculty of Mathematics, University "Al.I. Cuza"
and
Institute of Mathematics, Romanian Academy
Iasi 6600, Romania
email: sanita@uaic.ro
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Michel Langlais
Mathematiques Appliquees de Bordeaux, UMR CNRS 5466
Case 26, UFR Sciences et Modelisation
Universite Victor Segalen Bordeaux 2
33076 Bordeaux Cedex, France
email: langlais@sm.u-bordeaux2.fr |
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