Boundedness in a fully parabolic chemotaxis system with nonlinear diffusion and sensitivity, and logistic source

M. Marras, G. Viglialoro

In this paper we study the zero-flux chemotaxis-system \begin{equation*} \begin{cases} u_{ t}=\nabla \cdot ((u+1)^{m-1} \nabla u-(u+1)^αχ(v)\nabla v) + ku-μu^2 & x\in Ω, t>0, \\ v_…