Title: Chemotaxis models and Keller--Segel systems on compact metric graphs

 

Abstract: Chemotaxis phenomena govern the directed movement of microorganisms in response to chemical stimuli. In this talk we will discuss a pair of logistic type Keller–Segel systems of reaction-advection-diffusion equations modeling chemotaxis on networks. The first part of the talk concerns well-posedness of Keller—Segel systems on arbitrary compact metric graphs. In the second part of the talk, we will focus on asymptotic stability,  instability, and bifurcation of constant steady state solutions.

 

This is joint work with Wenxian Shen (Auburn) and Selim Sukhtaiev (Auburn).

 

 

Host: Selim Sukhtaiev