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Discrete Optimal Control Method Based on the Optimal Strategy of Fishing
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-01-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Consideration was given to the discrete optimal control method for the optimal fishing strategy.
Our method is new and efficient for discrete optimal control problem, which is different from the other optimal methods such as the traditional variational method, the Pontryagin principle of maximum, and the dynamic programming.
The basic construction of the model is the traditional logistic function relating to the growth of fry.
The discrete optimal control method for optimal fishing strategy was used to construct the optimal rate of each fishing strategy; the main focus of our work is on the rigorous mathematical analysis of the optimal control problem.
The analysis allows one to obtain the optimal initial investment amount of the fry and the optimal size of the total catch.
Furthermore, when the initial investment amount of the fry is below or above the optimal value and the intrinsic growth rate of fish R is too small, we derive that fishing operations should not be started in the last few years to make the overall fishing amount optimal.
At last, several typical examples are given to illustrate the obtained results.
American Psychological Association (APA)
Zhang, Lichun& Huang, Qingdao. 2015. Discrete Optimal Control Method Based on the Optimal Strategy of Fishing. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1060748
Modern Language Association (MLA)
Zhang, Lichun& Huang, Qingdao. Discrete Optimal Control Method Based on the Optimal Strategy of Fishing. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1060748
American Medical Association (AMA)
Zhang, Lichun& Huang, Qingdao. Discrete Optimal Control Method Based on the Optimal Strategy of Fishing. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1060748
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060748