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...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/794719 |
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| author | Hai-Feng Huo Hui-Min Jiang Xin-You Meng |
| author_facet | Hai-Feng Huo Hui-Min Jiang Xin-You Meng |
| author_sort | Hai-Feng Huo |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-bb907f7d1a6d4e4c845499b0ff251293 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-bb907f7d1a6d4e4c845499b0ff2512932025-02-03T06:42:24ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/794719794719A Dynamic Model for Fishery Resource with Reserve Area and TaxationHai-Feng Huo0Hui-Min Jiang1Xin-You Meng2Institute of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaInstitute of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaInstitute of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaThe 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.http://dx.doi.org/10.1155/2012/794719 |
| spellingShingle | Hai-Feng Huo Hui-Min Jiang Xin-You Meng A Dynamic Model for Fishery Resource with Reserve Area and Taxation Journal of Applied Mathematics |
| title | A Dynamic Model for Fishery Resource with Reserve Area and Taxation |
| title_full | A Dynamic Model for Fishery Resource with Reserve Area and Taxation |
| title_fullStr | A Dynamic Model for Fishery Resource with Reserve Area and Taxation |
| title_full_unstemmed | A Dynamic Model for Fishery Resource with Reserve Area and Taxation |
| title_short | A Dynamic Model for Fishery Resource with Reserve Area and Taxation |
| title_sort | dynamic model for fishery resource with reserve area and taxation |
| url | http://dx.doi.org/10.1155/2012/794719 |
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