The One Dimensional Keller-Segel Model

Authors : Mustafa Ali Dokuyucu, Ercan Çelik

Pages : 38-41

View : 23 | Download : 11

Publication Date : 2017-04-30

Article Type : Research

Abstract :In this paper, the Keller-Segel model is analysed. The work presented will focus on the mass criticality results for the Chemotaxis model. Subsequently the relative stability of stationary states are analysed using the Keller-Segel system for the Chemotaxis with linear diffusion. In this analysis, the techniques of ‘separation of variables’ and ‘standard linearization’ were used. Also, the graphics illustrate stability or instability in all the cases analysed.
Keywords : Chemotaxis, Keller-Segel Model