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

Narcisa C. Apreutesei
2010 Opuscula Mathematica  
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.
doi:10.7494/opmath.2010.30.4.389 fatcat:3ohqwplj5jf2pladtb6nqe57yu