Workshop and lectures on Spatial Pattern Simulations

Scientific Programme

Week 1

1. Modeling Spatial Pattern Formation
2. General concepts on spatial pattern formation
3. Mathematical modeling of Biological systems
4. Reaction-Diffusion Equations and their applications to Biology
5. Analysis of Reaction-Diffusion equations
6. LPS method for generating parameter sets

Week 2

1. Review of the following papers
2. Pattern formation of a spatial predator–prey system (Sun et. al, 2012)
3. Cross diffusion-induced pattern in an SI model (Wang et. al, 2010)
4. Complex dynamics of a reaction–diffusion epidemic model (Wang et. al, 2012)
5. The spatial patterns through diffusion-driven instability in a predator–prey model (Guin et. al, 2012)
6. Apply LPS method to the above methods to generate parameter sets to obtain spatial patterns.