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Paper details
Number 1 - March 2000
Volume 10 - 2000
Optimal harvesting of the nonlinear population dynamics
Sebastian Aniţa
Abstract
This paper deals with an optimal harvesting problem for a nonlinear age-dependent population dynamics. The existence and uniqueness of a positive solution for the model considered is demonstrated. The existence of an optimal harvesting effort and the convergence of a certain fractional step scheme are investigated. Necessary optimality conditions for some approximating problems are established.
Keywords
population dynamics, Carathéodory solution, optimal harvesting, fractional step scheme, necessary optimality conditions