Communication in Biomathematical Sciences
Vol. 1 No. 2 (2018)

A multiscale approach for spatially inhomogeneous disease dynamics

Markus Schmidtchen (Department of Mathematics, Imperial College London, London SW7 2AZ)
Oliver T.C. Tse (Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600MB Eindhoven)
Stephan Wackerle (Fraunhofer Institute for Industrial Mathematics, Fraunhofer-Platz 1, 67663 Kaiserslautern)

Article Info

Publish Date
21 Nov 2018

Abstract

In this paper we introduce an agent-based epidemiological model that generalizes the classical SIR model by Kermack and McKendrick. We further provide a multiscale approach to the derivation of a macroscopic counterpart via the mean-field limit. The chain of equations acquired via the multiscale approach is investigated, analytically as well as numerically. The outcome of these results provides strong evidence of the models' robustness and justifies their practicality in describing disease dynamics, in particularly when mobility is involved. The numerical results provide further insights into the applicability of the different scaling limits.

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Journal Info
Communication in Biomathematical Sciences
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Publisher

Indonesian Biomathematical Society

Subject

Social Sciences

Description

Full research articles in the area of Applications of Mathematics in biological processes and ...