A Dynamic Model for Fishery Resource with Reserve Area and Taxation

Joint Authors

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

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-01-26

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Huo, Hai-Feng& Jiang, Hui-Min& Meng, Xin-You. 2012. A Dynamic Model for Fishery Resource with Reserve Area and Taxation. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029007

Modern Language Association (MLA)

Huo, Hai-Feng…[et al.]. A Dynamic Model for Fishery Resource with Reserve Area and Taxation. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1029007

American Medical Association (AMA)

Huo, Hai-Feng& Jiang, Hui-Min& Meng, Xin-You. A Dynamic Model for Fishery Resource with Reserve Area and Taxation. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029007

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1029007