Optimal control for a nonlinear age-structured population dynamics model
Electronic journal of differential equations, Tome 2003 (2003)
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.
Classification :
35D10, 49J20, 49K20, 92D25
Keywords: optimal control, optimality conditions, age-structured population dynamics
Keywords: optimal control, optimality conditions, age-structured population dynamics
@article{EJDE_2003__2003__a28,
author = {Ainseba, Bedr'Eddine and Ani\c{t}a, Sebastian and Langlais, Michel},
title = {Optimal control for a nonlinear age-structured population dynamics model},
journal = {Electronic journal of differential equations},
year = {2003},
volume = {2003},
zbl = {1016.92026},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a28/}
}
TY - JOUR AU - Ainseba, Bedr'Eddine AU - Aniţa, Sebastian AU - Langlais, Michel TI - Optimal control for a nonlinear age-structured population dynamics model JO - Electronic journal of differential equations PY - 2003 VL - 2003 UR - http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a28/ LA - en ID - EJDE_2003__2003__a28 ER -
%0 Journal Article %A Ainseba, Bedr'Eddine %A Aniţa, Sebastian %A Langlais, Michel %T Optimal control for a nonlinear age-structured population dynamics model %J Electronic journal of differential equations %D 2003 %V 2003 %U http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a28/ %G en %F EJDE_2003__2003__a28
Ainseba, Bedr'Eddine; Aniţa, Sebastian; Langlais, Michel. Optimal control for a nonlinear age-structured population dynamics model. Electronic journal of differential equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a28/