Abstract: Chemotaxis refers to the directed movement of particles in response to chemical stimuli in their environment. In this talk, we will introduce chemotaxis models with consumption and discuss the global existence and asymptotic behavior of classical solutions to these models. Additionally, we will present numerical simulations demonstrating how chemotaxis sensitivity influences the spreading speed of biological species.  

 

This is a joint work with Dr. Wenxian Shen and Dr. Yuming Paul Zhang.