Alternatives to fittest-win and Moran processes as simple mathematical models of selection
I may suggest to give a look to game theory based model and their generalization from homogenous spatial diatribution to network like model. An easy review can be found in Martin A. Nowak's Evolutionary Dynamics (Harvard press 2006).

In particular you can see the classical Moran process as an evolutionary graph game going on a complete graph with identical weights. Changing the topology of the graph can give different results, though it is not necessary (and there're results showing in which case a graph behave just as a Moran process).

Graph related behaviour are, i.e., suppressing or amplifier of selection...