Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations
Thursday 1.2.2018 at 14:00 Lecture room M-223
Michael Winkler (Universität Paderborn):
Emergence of large densities in chemotaxis-growth systems
Abstract:
We consider variants of the Keller-Segel system of chemotaxis
which contain logistic-type source terms and thereby account
for proliferation and death of cells.
The purpose of the presentation is to discuss how far even despite
such additional growth-inhibiting mechanisms, the destabilizing
action of chemotactic cross-diffusion therein is yet strong enough
so as to enforce the spontaneous emergence of large population densities.