DMS Applied Mathematics Seminar

Speaker: Lianzhang Bao (Jilin University, China)

Title: Dynamics in the logistic type chemotaxis models with a free boundary

Abstract: This talk is concerned with the dynamics in the logistic type chemotaxis with a free boundary. In the first section, a free boundary problem via Fick's law will be derived to describe the spreading of certain species and some current results of the minimal chemotaxis model, chemotaxis model with logistic terms on fixed bounded and unbounded domain will be reviewed. In the second section, the global bounded solution of the free boundary problem and its asymptotic dynamics will be investigated. Some open problems and future works will also be discussed.

This is a joint work with Professor Wenxian Shen.