Ramos Del Olmo, Ángel ManuelRoubícek, Tomás2023-06-202023-06-202007-100095-461610.1007/s00245-007-0894-5https://hdl.handle.net/20.500.14352/49602A 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.engjournal articlehttp://www.springerlink.com/content/0095-4616/open access517.9Reaction-diffusion systemLotka-Volterra systemNash equilibrium2nd-order analysisExistenceNumerical simulationsEcuaciones diferenciales1202.07 Ecuaciones en Diferencias