Journal of Applied Mathematics

A Dynamic Model for Fishery Resource with Reserve Area and Taxation

Hai-Feng Huo, Hui-Min Jiang, and Xin-You Meng

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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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 794719, 15 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495022

Digital Object Identifier
doi:10.1155/2012/794719

Zentralblatt MATH identifier
1334.91057

Citation

Huo, Hai-Feng; Jiang, Hui-Min; Meng, Xin-You. A Dynamic Model for Fishery Resource with Reserve Area and Taxation. J. Appl. Math. 2012 (2012), Article ID 794719, 15 pages. doi:10.1155/2012/794719. https://projecteuclid.org/euclid.jam/1355495022


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