Faculty of Mathematics, Physics
and Informatics
of the Comenius University in Bratislava

Seminar on Qualitative Theory of Differential Equations - Michael Winkler (1.2.2018)

Thursday 1.2.2018 at 14:00 hod., Lecture room M/223


30. 01. 2018 20.36 hod.
By: Pavol Quittner

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.