Pattern formation in nonlocal hyperbolic/kinetic models for collective phenomena in ecology and cell biology
Raluca Eftemie (University of Dundee)
Thursday 8th February, 2018 14:00-15:00 311B Mathematics and Statistics Building
Collective movement of animals (e.g., fish, birds, etc.) has attracted humans’ attention for over 2000 years. More recently, researchers started investigating also the collective movement of cells during development or disease (e.g., cancer). In this talk, I discuss a class of nonlocal hyperbolic models for interactions between animals as a result of inter-individual communication, and interactions between cells as a result of signalling pathways. These nonlocal hyperbolic models do not show only a large variety of spatial and patio-temporal patterns, but they also display complex transitions between these patterns. To understand some of these patterns and transitions between patterns, I use bifurcation and symmetry theory combined with numerical simulations.