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Predicting Pandemics in a Globally Connected World, Volume 1Multiscale Derivation of a Time-Dependent SEIRD Reaction–Diffusion System for COVID-19

Predicting Pandemics in a Globally Connected World, Volume 1: Multiscale Derivation of a... [A time-dependent Susceptible-Exposed-Infectious-Recovered-Died reaction–diffusion system for the virus pandemic is proposed in this chapter. The macroscopic model is derived from the underlining description delivered by a kinetic theory model. The approach is based on a multiscale decomposition that leads to an equivalent formulation of the kinetic theory model, which couples the microscopic equations with the macroscopic equations. Subsequently, a numerical asymptotic preserving scheme to solve the equivalent formulation is developed and validated by various numerical tests.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Predicting Pandemics in a Globally Connected World, Volume 1Multiscale Derivation of a Time-Dependent SEIRD Reaction–Diffusion System for COVID-19

Editors: Bellomo, Nicola; Chaplain, Mark A. J.

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Publisher
Springer International Publishing
Copyright
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
ISBN
978-3-030-96561-7
Pages
285 –306
DOI
10.1007/978-3-030-96562-4_10
Publisher site
See Chapter on Publisher Site

Abstract

[A time-dependent Susceptible-Exposed-Infectious-Recovered-Died reaction–diffusion system for the virus pandemic is proposed in this chapter. The macroscopic model is derived from the underlining description delivered by a kinetic theory model. The approach is based on a multiscale decomposition that leads to an equivalent formulation of the kinetic theory model, which couples the microscopic equations with the macroscopic equations. Subsequently, a numerical asymptotic preserving scheme to solve the equivalent formulation is developed and validated by various numerical tests.]

Published: Feb 18, 2022

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