Opuscula Math. 30, no. 4 (2010), 389-397

Opuscula Mathematica

Necessary optimality conditions for predator-prey system with a hunter population

Narcisa C. Apreutesei

Abstract. An optimal control problem is studied for a predator-prey reaction-diffusion system. A hunter population is introduced in the ecosystem and it is interpreted as a control variable. One finds necessary optimality conditions in order that, in the end of a given time interval, the total density of the two populations is maximal.

Keywords: predator-prey system, optimal control, adjoint system.

Mathematics Subject Classification: 93C10, 93C20, 92D25, 35K57, 35K58.

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  • Narcisa C. Apreutesei
  • Technical University “Gh. Asachi” Iasi, Department of Mathematics, 11, Bd. Carol I, 700506 Iasi, Romania
  • Received: 2010-02-27.
  • Revised: 2010-05-03.
  • Accepted: 2010-05-05.
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Cite this article as:
Narcisa C. Apreutesei, Necessary optimality conditions for predator-prey system with a hunter population, Opuscula Math. 30, no. 4 (2010), 389-397, http://dx.doi.org/10.7494/OpMath.2010.30.4.389

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