具有年龄结构和约束的群落系统的最优收获

Abstract

Abstract:

The author studies an optimal harvesting problem for a fairly general system modelling the dynamics of two
interacting species, under the constraint that the terminal state must be near a specified-in-advance distribution. The existence of optimal control is established and the optimality conditions in the form of adjoint system and maximum principle are derived via Dubovitskii-Milyutin theory. The treatment provides a unified approach for harvesting age-dependent multi-species.

Key words: Harvest, Interaction of species, State constraint, Age structure, Optimal control, Dubovitskii-Milyutins theorem

CLC Number:

35B10

HE Ze-Rong. On Constrained Harvesting for a General Age-structured Model of Interacting Populations[J].Acta mathematica scientia,Series A, 2010, 30(2): 477-486.

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On Constrained Harvesting for a General Age-structured Model of Interacting Populations

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