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
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