Avoidance of caldera-type dead cores in a chemotaxis system with degenerate diffusion and compactly supported initial population density

Tobias Black

We consider a degenerate chemotaxis system of the form \begin{align}\label{star}\tag{$\star$} \left\lbrace \begin{array}{r@{}l@{\quad}l} &u_t=\nabla\cdot\big(D(u)\nabla u-uS(u)\nab…