Speaker
Description
In chase-and-run dynamics, two individuals interact in such a way that one moves towards the other (the chaser), while the other moves away (the runner). This behaviour can be observed in both interacting cells and animal populations. In this talk, I analyse the collective behaviours that emerge at the population level in heterogeneous groups consisting of subpopulations of chasers and runners that interact via non-local sensing mechanisms.
I analyse how different dynamical regimes arise as interaction ranges - the spatial scales over which individuals respond to one another - vary, and how these behaviours are modified by an external bias representing the directional tendencies commonly observed in biological systems. The results identify the conditions that lead to aggregation, spatial segregation and persistent chase-and-run patterns. This analysis provides insight into the underlying mechanisms of collective organisation in cellular and ecological contexts, while paving the way for multi-scale descriptions that integrate behavioural heterogeneity through phenotype-structured population models.
