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Schmidtchen, Markus
Department of Mathematics, Imperial College London, London SW7 2AZ
Social Sciences

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A multiscale approach for spatially inhomogeneous disease dynamics Schmidtchen, Markus; Tse, Oliver T.C.; Wackerle, Stephan
Communication in Biomathematical Sciences Vol 1, No 2 (2018)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1849.524 KB) | DOI: 10.5614/cbms.2018.1.2.1

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.
Co-Authors Tse, Oliver T.C. Wackerle, Stephan