Math Bio Seminar - Erin Ellefsen
Erin EllefsenÌý
Department of Applied MathematicsÌý91ÃÛÌÒ¸ó 91ÃÛÌÒ¸ó
Efficiently finding steady states of nonlocal territorial 91ÃÛÌÒ¸ó in Ecology
There are certain populations of animals that tend to move in social groups. We investigate territory development of these social groups by studying a system of non-local continuum equations. However, these equations pose both analytical and computational challenges. Therefore, we perform a long-wave approximation to investigate a local approximation to this system. We take advantage of the structure of these local and non-local systems in order to find steady state solutions. We then compare the steady states of the local and non-local model to see if the local model is a good enough approximation as we move towards future projects.Ìý