Modelling the Dynamics of a Renewable Resource under Harvesting with Taxation as a Control Variable

被引：0
|
作者：
Dubey, B. [1 ]
Patra, Atasi [1 ]
Sahani, S. K. [2 ]
机构：
[1] Birla Inst Technol & Sci, Dept Math, Pilani 333031, India
[2] South Asian Univ, Dept Math, New Delhi 110021, India
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2014年 / 9卷 / 02期
关键词：
Optimal tax; harvesting effort; stability; bionomic equilibrium;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper describes a model of resource biomass and population with a non-linear catch rate function on resource biomass. The harvesting effort is assumed to be a dynamical variable. Tax on per unit harvested resource biomass is used as a tool to control exploitation of the resource. Pontryagin's Maximum Principle is used to find the optimal control to maintain the resource biomass and population at an optimal level. A numerical simulation is also carried out to support the analytical results.
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页码：592 / 621
页数：30
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