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.
引用
收藏
页码：592 / 621
页数：30
相关论文
共 50 条
  • [41] Resource misallocation and aggregate productivity under progressive taxation
    Guo, Jang-Ting
    Izumi, Yutaro
    Tsai, Yi-Chan
    JOURNAL OF MACROECONOMICS, 2019, 60 : 123 - 137
  • [42] System Dynamics Modelling of Renewable Sea Resources
    Sliskovic, Merica
    Jelic, Gorana
    Hell, Marko
    NASE MORE, 2005, 52 (1-2): : 33 - 36
  • [43] Properties of average time profit in stochastic models of harvesting a renewable resource
    Rodina, L., I
    VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI, 2018, 28 (02): : 213 - 221
  • [44] Resource Considerations for Durable Large Scale Renewable Energy Harvesting Applications
    Verbelen, Yannick
    Touhafi, Abdellah
    2013 INTERNATIONAL CONFERENCE ON RENEWABLE ENERGY RESEARCH AND APPLICATIONS (ICRERA), 2013, : 401 - 406
  • [45] Renewable resource management in a seasonally fluctuating environment with restricted harvesting effort
    Pichika, Srinivasu D. N.
    Zawka, Simon D.
    MATHEMATICAL BIOSCIENCES, 2018, 301 : 1 - 9
  • [46] Tropical forest harvesting and taxation: a dynamic model of harvesting behavior under selective extraction systems
    Conrad, RE
    Gillis, M
    Mercer, DE
    ENVIRONMENT AND DEVELOPMENT ECONOMICS, 2005, 10 : 689 - 709
  • [47] Control and Automation of Hybrid Renewable Energy Harvesting System
    Jothilakshmi, R. S.
    Selvi, S. Chitra
    INTELLIGENT AUTOMATION AND SOFT COMPUTING, 2022, 34 (02): : 865 - 876
  • [48] MONOPSONISTIC CONTROL OF A COMMON PROPERTY RENEWABLE RESOURCE
    SCHWORM, WE
    CANADIAN JOURNAL OF ECONOMICS-REVUE CANADIENNE D ECONOMIQUE, 1983, 16 (02): : 275 - 287
  • [49] Problem of stochastic control for exploitation of a renewable resource
    Pasquali, S
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2000, 3A : 161 - 164
  • [50] On The Harvesting and Numerical Modelling of the Ocean Wave Energy Resource: A Review
    Rioui, Maha
    El Marjani, Abdellatif
    Bouhrimb, Hafsa
    Nechad, Rajae
    Mounir, Hamid
    PROCEEDINGS OF 2021 9TH INTERNATIONAL RENEWABLE AND SUSTAINABLE ENERGY CONFERENCE (IRSEC), 2021, : 446 - 451
12345