Opuscula Mathematica
Opuscula Math. 30, no. 4 (), 389-397
http://dx.doi.org/10.7494/OpMath.2010.30.4.389
Opuscula Mathematica

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


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.
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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ISSN 1232−9274, e-ISSN 2300−6919, DOI http://dx.doi.org/10.7494/OpMath
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