Fisher KPP equation and travelling wavefronts
The Fisher KPP equation provides a simple description of population growth with a maximum capacity and diffusion. It exhibits travelling front solutions where a region with the maximum population invades an unpopulated region. In this talk I will give a gentle introduction to the equation and this type of travelling front solution. We'll see how there emerges a `selection principle' whereby the speed of the front takes on a particular value dependent on the initial conditions.
Reference: J.D. Murray Mathematical Biology Volume 1 chapter 12
This is a roughly weekly series of didactical blackboard talks focussing on some theoretical aspect of Condensed Matter, Biological, and Statistical Physics..