Optimal management of a renewable resource utilized by a population with taxation as a control variable

被引：9

作者：

Dubey, Balram ^{[1
]}

Patra, Atasi ^{[1
]}

机构：

[1] Birla Inst Technol & Sci, Dept Math, Pilani 333031, Rajasthan, India

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2013年 / 18卷 / 01期

关键词：

renewable resource; harvesting effort; taxation; stability; MODEL; FISHERY; RESERVE;

D O I：

10.15388/NA.18.1.14030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A dynamical model is proposed and analyzed to discuss the effect of population on a resource biomass by taking into account the crowding effect. It is assumed that the resource biomass, which has commercial importance, is subjected to harvesting. The harvesting effort is assumed to be a dynamical variable and taxation is being used as a control variable. The optimal harvesting policy is discussed using the Pontryagin's maximum principle.

引用

页码：37 / 52

页数：16

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