In many ecosystems food resources are available sequentially. The paper analyses a situation with
two competing prey species both of which are consumed by a common predator species. Within a
season the two prey species are available sequentially, although there may be an overlap. Three modelling
methodologies are applied to this system] discrete dynamical systems (difference equations),
individual-oriented event-driven simulations and cellular automata. The presence of the predator is shown
to have a strong impact on the outcome of the prey species competition. The system of coexisting prey
species changes to a system of founder-controlled competition. It appears that sequential predation can
even have counterintuitive evolutionary consequences for the prey species. The species which appears later
in the season will be more successful in its competition with the early species if it favours the predator;
for example, by a high leaf palatability. Spatial structuring and topological issues are found to play a
crucial role in both the ecological and evolutionary dynamics. The advantages of a multi!model approach
are discussed