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