Affiliation:
1. Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018, P. R. China
Abstract
We investigate an optimal harvesting problem for age-structured species, in which elder individuals are more competitive than younger ones, and the population is modeled by a highly nonlinear integro-partial differential equation with a global feedback boundary condition. The existence of optimal strategies is established by means of compactness and maximizing sequences, and the maximum principle obtained via an adjoint system, tangent-normal cones and a new continuity result. In addition, some numerical experiments are presented to show the effects of the price function and younger’s weight on the optimal profits.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Zhejiang Province
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modelling and Simulation
Cited by
6 articles.
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