Special Session 106: Nonlocal and Local Interactions in Population Dynamics: Mathematical Analysis and Numerical Approaches.

Lotka-Volterra models with Nonlocal Coefficient Diffusion
Cristian Morales Rodrigo
Universidad de Sevilla
Spain
Co-Author(s):    
Abstract:
This talk is devoted to classical Lotka-Volterra models incorporating nonlocal diffusion; specifically, models where the diffusion coefficient depends nonlinearly on the total mass population. The inclusion of these nonlocal terms introduces greater technical difficulties compared to their local counterparts. Furthermore, we demostrate how nonlocal diffusivity alters the estructure of coexistence states with respect to the classical Lotka-Volterra systems.