A Dynamic Model for Fishery Resource with Reserve Area and Taxation-Reference-Cited by-同舟云学术

A Dynamic Model for Fishery Resource with Reserve Area and Taxation

Published:2012 Issue: Volume:2012 Page:1-15
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Huo Hai-Feng¹,Jiang Hui-Min¹²,Meng Xin-You¹

Affiliation:

1. Institute of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China

2. Department of Mathematics, School of Science, Shihezi University, Shihezi, Xinjiang 832003, China

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2012/794719.pdf

Reference27 articles.

1. The Economics of Exhaustible Resources

2. Harvesting of a prey–predator fishery in the presence of toxicity

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