Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 28, pp. 1-9.

Title: Optimal control for a nonlinear age-structured population
       dynamics model

Authors: Bedr'Eddine Ainseba (Univ. Victor Segalen Bordeaux 2, France)
         Sebastian Anita (Institute of Mathematics, Romanian Academy)
	 Michel Langlais (Univ. Victor Segalen Bordeaux 2, France)

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.