Faculty of Mathematics, Physics
and Informatics

Seminar on Qualitative Theory of Differential Equations - Pavel Drábek (20.2.2017)

Monday 20.2.2017 at 16:00, Lecture room M/223


07. 02. 2017 12.22 hod.
By: Pavol Quittner

Pavel Drábek (ZČU Plzeň):
Convergence to travelling waves in Fisher's population genetics model with a non-Lipschitzian reaction term

Abstract:
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.