Convergence of a finite volume scheme for nonlocal reaction-diffusion systems modelling an epidemic disease

2008/03/25 by Bendahmane, Mostafa, Sepulveda, Mauricio · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.0803.3502

Abstract

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.

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