具有年龄结构的线性周期种群动力系统的最优收获控制问题

Abstract

Abstract:

In this paper, an optimal harvesting problem for linear periodic age\|dependent population dynamics is investigated. Namely, the Lotka\|Mckendrick model with periodic vital rates and a periodic forcing term that sustains oscillations is considered. By Mazur's theorem, existence of solutions of the optimal control problem is demonstrated and by the conception of normal cone, first order necessary conditions of optimality for the problem are
obtained. Finally, under suitable assumptions, uniqueness of solution of the optimal control problem is given. The results extend some known criteria.

Key words: Optimal harvesting, Optimal , control, Periodic popu lation dynamics, The maximum principle

CLC Number:

35B10

LUO Zhi-Hua, WANG Mian-Sen. Optimal Harvesting Control Problem for Linear Periodic Age dependent Population Dynamic System [J].Acta mathematica scientia,Series A, 2005, 25(6): 905-912.

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Optimal Harvesting Control Problem for Linear Periodic Age dependent Population Dynamic System

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