Convergence of a finite volume scheme for nonlocal reaction-diffusion   systems modelling an epidemic disease
  We analyze a finite volume scheme for nonlocal SIR model, which is a nonlocal reaction-diffusion system modeling an epidemic disease. We establish existence solutions to the finite volume scheme, and show that it converges to a weak solution. The convergence proof is based on deriving series of a priori estimates and using a general $L^p$ compactness criterion. 
Mostafa Bendahmane (GI2MA), Mauricio Sepulveda (GI2MA)