[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2018.047

AN IMPULSIVE STAGE-STRUCTURED OPTIMAL CONTROL PROBLEM AND OPTIMAL HARVEST STRATEGY OF PACIFIC COD, GADUS MICROCEPHALUS, IN THE SOUTH KOREA

Cho, Giphil (Industrial Mathematics Center, Pusan National University)
Jeong, Yong Dam (Department of Mathematics, Pusan National University)
Kim, Sangil (Department of Mathematics, Pusan National University)
Jung, Il Hyo (Department of Mathematics, Pusan National University)

Publication Information

East Asian mathematical journal / v.34, no.5, 2018 , pp. 683-691 More about this Journal

Abstract

We consider an optimal control problem for an impulsive stage-structured model involving ordinary differential equations with impulsive values of initial conditions in the next year. The main goal is to maximize a profit of the catch of Pacific cod in the South Korea through optimal harvest strategy as a control of adult cod. We established necessary conditions for the optimal harvest control using idea of Pontryagin's maximum principle. The optimal harvest strategy is to numerically solve the equation by using an iterative method with the Runge-Kutta method. Finally, we compare a monthly average of fishing mortality of Pacific cod from 2013 to 2017 with monthly fishing mortality for result obtained optimal harvest strategy.

Keywords

Impulsive model; Optimal harvest strategy; Pacific cod;

Citations & Related Records

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