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A Dynamic Model for Fishery Resource with Reserve Area and Taxation

Author

Listed:
  • Hai-Feng Huo
  • Hui-Min Jiang
  • Xin-You Meng

Abstract

The present paper deals with a dynamic reaction model of a fishery. The dynamics of a fishery resource system in an aquatic environment consists of two zones: a free fishing zone and a reserve zone. To protect fish population from over exploitation, a control instrument tax is imposed. The existence of its steady states and their stability are studied. The optimal harvest policy is discussed next with the help of Pontryagin′s maximum principle. Our theoretical results are confirmed by numerical simulation.

Suggested Citation

  • Hai-Feng Huo & Hui-Min Jiang & Xin-You Meng, 2012. "A Dynamic Model for Fishery Resource with Reserve Area and Taxation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:794719
    DOI: 10.1155/2012/794719
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    References listed on IDEAS

    as
    1. Gakkhar, Sunita & Singh, Brahampal, 2007. "The dynamics of a food web consisting of two preys and a harvesting predator," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1346-1356.
    2. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39(2), pages 137-137.
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