Spatial localization for a general reaction-diffusion system

We use a local energy method to study the spatial localization of the supports of the solutions of a reaction--diffusion system with nonlinear diffusion and a general reaction term. We establish finite speed of propagation and the existence of waiting times under a set of weak assumptions on the structural form of the system. These assumptions allow for additive and multiplicative reaction terms and space- and time-dependence of the coefficients, as well as a divergence-free convection term.