Fisher KPP equation and travelling wavefronts
Fisher KPP equation and travelling wavefronts
- Event time: 11:30am until 12:30pm
- Event date: 25th January 2017
- Speaker: Professor Martin Evans (School of Physics & Astronomy, University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
Event details
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
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