具有年龄等级结构的种群竞争系统的最优收获控制

Abstract

Abstract:

In this paper, we investigate an optimal control problem for a hierarchical system of age-dependent competing populations, with the removal intensity as the control variable. After the existence of optimal strategies has been established, we prove a new continuity result, by which the optimal policies are exactly characterized with a normal cone and an adjoint system. Furthermore, some numerical results are presented to show the effects of the price on optimal profits.

Key words: Hierarchy of age, Competing system, Optimal control, Normal cone, Pre-compactness

CLC Number:

O211.4

Zerong He,Nan Zhou. Optimal Harvesting in a Competing System of Hierarchical Age-Structured Populations[J].Acta mathematica scientia,Series A, 2022, 42(1): 228-244.

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Figures/Tables 9

References 33

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s	0	1	2	3
J(u^*)	21.0642	24.4689	27.8961	32.1155

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Optimal Harvesting in a Competing System of Hierarchical Age-Structured Populations

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