1. Reaction diffusion equations A tutorial for biologists E. Grenier

2. Introduction

3. Introduction: what is a diffusion equation ? A diffusion equation, or heat equation models for instance The evolution of the temperature in a room The evolution of the concentration of chemical components in a solution The repartition of a population of animals, each animal walking at random The evolution of the concentration of ionic species in extracellular space It models the general behavior of particules or indiviuals which move at random Ions move at random in extracellular space through thermal agitation Animals move at random (and interact of course, but this interaction is not included in diffusion equation)

4. Propagation of epidemies

5. SIR system

8. Propagation de la rage

9. SIR system

13. Spiral waves

17. Pattern formation