Global existence and finite time blow-up for a degenerate reaction-diffusion system with non-local sources

This paper concerns with a nonlinear degenerate parabolic system coupled via non-local sources, Sub-jecting to the null Dirichlet boundary condition. The main aim of this paper is to study conditions on the global existence and blow up in finite time of the solutions. The results depend crucially on the difference q₁q₂ -mn and on the domain Ω∈ R^N.