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arXiv · 0803.3502

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

Mostafa Bendahmane·Mauricio Sepulveda
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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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Mostafa Bendahmane, Mauricio Sepulveda. 2008-03-25. Convergence of a finite volume scheme for nonlocal reaction-diffusion systems modelling an epidemic disease. https://arxiv.org/abs/0803.3502

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