Dear Nadja: for analysis did you check the papers of Méléard and collaborators about trait invasion, e.g. "Invasion and adaptive evolution for individual-based spatially structured populations" by Nicolas Champagnat, Sylvie Méléard. On the numerical point of view : if you have a few individual A among a lot B individual, to simulate the invasion of the A's among the B's you can hybridize : a PDE or integro-differential equations for the B's coupled with an IBM for the A's.