文章基本信息

标题：Optimal Harvest Control in a Singular Prey-Predator Fishery Model with Maturation Delay and Gestation Delay
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作者：Chao Liu ; Longfei Yu ; Qingling Zhang 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2016
卷号：2016
DOI：10.1155/2016/4398527
出版社：Hindawi Publishing Corporation
摘要：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.