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
@article{EJDE_2003__2003__a128,
     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__a128/}
}
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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__a128/