Department of Mathematics

Abstract: Mathematical models have been widely and successfully applied in understanding the interplay of population structure and the evolution of social behaviour. In this talk, I will ask whether helping and non-helping behaviour can coexist in social groups, and importantly, what affects this coexistence. I will present two types of modelling techniques to investigate this. The first is an individual based model and the second is a coupled map lattice derived through a mean field approximation from the individual based model. Using these two techniques, we find that the spatial structure of populations is critically important in the evolution of social behaviours.