TY - JOUR ID - Apreutesei2010 LB - Apreutesei2010 AU - Apreutesei, Narcisa C. TI - Necessary optimality conditions for predator-prey system with a hunter population ST - Necessary optimality conditions for predator-prey system with a hunter population JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2010 VL - 30 IS - 4 SP - 389 EP - 397 DO - http://dx.doi.org/10.7494/OpMath.2010.30.4.389 UR - http://dx.doi.org/10.7494/OpMath.2010.30.4.389 AB - 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. KW - predator-prey system KW - optimal control KW - adjoint system SN - 1232-9274 ER -