Optimal control of harvesting in a stochastic metapopulation model

    Authors

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

    Comments

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    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

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