%0 Journal Article %A Ramos Del Olmo, Ángel Manuel %A Roubícek, Tomás %T Nash equilibria in noncooperative predator-prey games %D 2007 %@ 0095-4616 %U https://hdl.handle.net/20.500.14352/49602 %X A non-cooperative game governed by a distributed-parameter predator-prey system is consid-ered, assuming that two players control initial conditions for predator and prey, respectively. Existence of a Nash equlibrium is shown under the condition that the desired population pro¯les and the environ-mental carrying capacity for the prey are su±ciently small. A conceptual approximation algorithm is proposed and analyzed. Finally, numerical simulations are performed, too. %~