Movement, positioning and coordination of player formations is a key aspect for the
performance of teams within field-based sports. The increased availability of player tracking …

As one of nature's most striking examples of collective behaviour, bird flocks have attracted
extensive research. However, we still lack an understanding of the attractive and repulsive …

Abstract The terms 'shoal','swarm'and 'school'are very frequently used in research on
collective behaviours in animals. Pitcher's definitions are accepted as the authority in the …

Social animals routinely form groups, which are thought to display emergent, collective
behavior. This hypothesis suggests that animal groups should have properties at the group …

We study the linear stability of flock and mill ring solutions of two individual based models for
biological swarming. The individuals interact via a nonlocal interaction potential that is …

In this paper we study the pattern formation of a kinematic aggregation model for biological
swarming in two dimensions. The swarm is represented by particles and the dynamics are …

Pedestrian and evacuation dynamics provide valuable insights into the understanding of
human collective motion and have important implications for architectural design, safety …

Avoiding predation is generally seen as the most common explanation for why animals
aggregate. However, it remains questionable whether the existing theory provides a …

The dynamics of resource patches and species that exploit such patches are of interest to
ecologists, conservation biologists, modelers, and mathematicians. Here we consider how …

Social groups in various social species are organized with hierarchical structures that shape
group dynamics and the nature of within-group interactions. In-group social bonding …