Seminár z kvalitatívnej teórie diferenciálnych rovníc

Seminar on Qualitative Theory of Differential Equations

Monday 20.2.2017 at 16:00 Lecture room M-223

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.