Seminar on Qualitative Theory of Differential Equations - Pavel Drábek (20.2.2017)
Monday 20.2.2017 at 16:00, Lecture room M/223
By: Pavol Quittner
Pavel Drábek (ZČU Plzeň):
Convergence to travelling waves in Fisher's population genetics model with a non-Lipschitzian reaction term
We consider the semilinear Fisher equation for the advance of an advantageous gene in biology. Its nonsmooth reaction function f(u) allows for the introduction of travelling waves with a new profile. We study existence, uniqueness, and long-time asymptotic behavior of the solutions of the initial value problem to a travelling wave.