Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2012 (2012), Article ID 794719, 15 pages.
A Dynamic Model for Fishery Resource with Reserve Area and Taxation
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.
J. Appl. Math., Volume 2012 (2012), Article ID 794719, 15 pages.
First available in Project Euclid: 14 December 2012
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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