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A Dynamic Model for Fishery Resource with Reserve Area and Taxation

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  • 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, Hindawi, vol. 2012, pages 1-15, January.
    • Handle: RePEc:hin:jnljam:794719
    DOI: 10.1155/2012/794719
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    Cited by:

    1. Vitaly G. Il’ichev & Dmitry B. Rokhlin, 2022. "Internal Prices and Optimal Exploitation of Natural Resources," Mathematics, MDPI, vol. 10(11), pages 1-14, May.
    2. Juneja, Nishant & Agnihotri, Kulbhushan, 2018. "Conservation of a predator species in SIS prey-predator system using optimal taxation policy," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 86-94.
    3. Arjun Hasibuan & Asep Kuswandi Supriatna & Endang Rusyaman & Md. Haider Ali Biswas, 2023. "Harvested Predator–Prey Models Considering Marine Reserve Areas: Systematic Literature Review," Sustainability, MDPI, vol. 15(16), pages 1-23, August.

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