Special Session 66: Geometric insights in Partial Differential Equations: advances and challenges

A three population Lotka-Volterra competition model with two populations interacting through an interface
Pablo Alvarez-Caudevilla
Universidad Carlos III de Madrid
Spain
Co-Author(s):    Cristina Brandle, Monica Molina-Becerra, Antonio Suarez
Abstract:
Consider three species competing with each other in the same habitat. One of the species lives in the entire habitat, competing with the other two species, while the other two inhabit two disjoint regions of the habitat. These two populations just interact on a region/interface which acts as a geographical barrier. Under those circumstances we will show how the barrier condition causes a drastic change in species behaviour compared to the classical Lotka-Volterra competitive model.