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

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

2008-03-25

arxiv.org/abs/0803.3502v1

Mathematics

Numerical Analysis

30 pages

Scientific paper

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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