Seminar on Qualitative Theory of Differential Equations - Michael Winkler (1.2.2018)
Thursday 1.2.2018 at 14:00 hod., Lecture room M/223
By: Pavol Quittner
Michael Winkler (Universität Paderborn):
Emergence of large densities in chemotaxis-growth systems
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.