Optimal Harvest Control in a Singular Prey-Predator Fishery Model with Maturation Delay and Gestation Delay
Joint Authors
Liu, Chao
Yu, Longfei
Zhang, Qing-ling
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-21
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper presents a singular prey-predator fishery model, where maturation delay for prey and gestation delay for predator are considered.
Fishing efforts are introduced to harvest prey and predator population, which are developed as control instruments to investigate optimal utilization of fishery resource.
By analyzing associated characteristic equation, local stability analysis is studied due to combined variations of double time delays.
Furthermore, Pontryagin’s maximum principle is utilized to characterize optimal harvest control, and the optimality system is numerically solved based on an iterative method.
American Psychological Association (APA)
Liu, Chao& Yu, Longfei& Zhang, Qing-ling. 2016. Optimal Harvest Control in a Singular Prey-Predator Fishery Model with Maturation Delay and Gestation Delay. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1103446
Modern Language Association (MLA)
Liu, Chao…[et al.]. Optimal Harvest Control in a Singular Prey-Predator Fishery Model with Maturation Delay and Gestation Delay. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1103446
American Medical Association (AMA)
Liu, Chao& Yu, Longfei& Zhang, Qing-ling. Optimal Harvest Control in a Singular Prey-Predator Fishery Model with Maturation Delay and Gestation Delay. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1103446
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103446