Pattern formation in ecological systems

by Tomás Sintes and Damià Gomila

Campus Universitat de les Illes Balears, E07122 Palma de Mallorca, Spain


The contents of the course are:

  1. Growth models: an overview (Eden, DLA, DLCA … ballistic deposition and the KPZ).

  2. Application to clonal plant growth. Microscopic growth rules and general results for seagrasses.

  3. From the microscopic rules to a macroscopic description.

  4. Pattern formation: linear stability analysis por PDE’s.

  5. Weakly non-linear analysis: Multiple scales

  6. Amplitude equation and generic phenomena


Hands on sessions:

  1. Roughness in an Eden model

  2. Numerical simulation of PDE’s