Special Session 18: 

On a nonlocal system for vegetation in drylands

Hirofumi Izuhara
University of Miyazaki
Japan
Co-Author(s):    Matthieu Alfaro, Masayasu Mimura
Abstract:
Several mathematical models are proposed to understand spatial patchy vegetation patterns arising in drylands. In this talk, we consider the system with nonlocal dispersal of plants proposed by Pueyo et al. as a model for vegetation in water-limited ecosystems. For this system, we consider the stationary problem from the viewpoint of vegetated pattern formation, and show a transition of vegetation patterns when parameter values in the system vary.