Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production

Youshan Tao, Michael Winkler

We study the Neumann initial-boundary problem for the chemotaxis system $$ \left\{\begin{array}{ll} u_t= Δu - \nabla \cdot (u\nabla v), & x\in Ω, \, t>0, 0=Δv - μ(t)+w, & x\in Ω, \…