Spreading Speeds and Traveling waves of a parabolic-elliptic chemotaxis system with logistic source on R^N

Rachidi Salako, Wenxian Shen

In this paper, we study the spreading speeds and traveling wave solutions of the PDE $$ \begin{cases} u_{t}= Δu-χ\nabla \cdot (u \nabla v) + u(1-u),\ \ x\in\mathbb{R}^N 0=Δv-v+u, \…