Global existence and blow-up for a degenerate reaction–diffusion system with nonlocal sources

This work investigates a degenerate reaction–diffusion system with homogeneous Dirichlet boundary data. Using the self-similar form of function and super-solution sub-solution techniques, together with results from interactions among the multi-nonlinearities in the system, described using ten exponents, the global existence and blow-up criteria for nonnegative solutions are determined.