Title

Optimal control of harvesting in a stochastic metapopulation model

Authors

Authors

C. Collins; S. Lenhart; S. Nanda; J. Xiong; K. Yakovlev;J. Yong

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Optim. Control Appl. Methods

Keywords

stochastic optimal control; numerical scheme; harvesting; RANDOMLY FLUCTUATING RESOURCE; DIFFERENTIAL-EQUATIONS; SCHEME; Automation & Control Systems; Operations Research & Management Science; Mathematics, Applied

Abstract

We consider a metapopulation model for a single species inhabiting two bounded contiguous regions where movement of the population across the shared boundary is allowed. The population in one of the bounded regions can be harvested. We introduce stochastic growth rates for the two populations in a system of ordinary differential equations that model the population dynamics in these two regions. We derive the resulting stochastic control problem with harvesting in the one region as the control. The existence of an optimal control is established by solving an associated quasi-linearquadratic optimal control problem. We present numerical simulations to illustrate several scenarios. Copyright (C) 2011 John Wiley & Sons, Ltd.

Journal Title

Optimal Control Applications & Methods

Volume

33

Issue/Number

2

Publication Date

1-1-2012

Document Type

Article

Language

English

First Page

127

Last Page

142

WOS Identifier

WOS:000301528800001

ISSN

0143-2087

Share

COinS