[COLLOQUIUM] Traveling Waves in Chemotaxis Models with Logistic Source

Traveling wave solutions are an important class of solutions in many dispersal evolution equations on a whole space. This talk is concerned with traveling wave solutions in chemotaxis models with logistic source. In particular, I will discuss the existence of traveling wave solutions in such models. Special attention will be given to the combined effect of the chemotaxis sensitivity and the logistic damping on the speed of traveling wave solutions.