Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations

DOI10.1142/S0218202521400017zbMath1473.92006arXiv2012.10101MaRDI QIDQ5164229

Walter Boscheri, Giacomo Dimarco, Lorenzo Pareschi

Publication date: 10 November 2021

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.10101

zbMATH Keywords

unstructured gridsasymptotic-preserving schemesepidemic modelsdiffusion limitkinetic transport equationsCOVID-19commuting flows

Mathematics Subject Classification ID

Epidemiology (92D30) Reaction-diffusion equations (35K57) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Initial-boundary value problems for first-order hyperbolic systems (35L50) Numerical methods for stiff equations (65L04) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Mathematical modeling or simulation for problems pertaining to biology (92-10)

Related Items (13)

Kinetic Modelling of Epidemic Dynamics: Social Contacts, Control with Uncertain Data, and Multiscale Spatial Dynamics ⋮ A 2D Kinetic Model for Crowd Dynamics with Disease Contagion ⋮ Multiscale Derivation of a Time-Dependent SEIRD Reaction–Diffusion System for COVID-19 ⋮ Coupled and uncoupled dynamic mode decomposition in multi-compartmental systems with applications to epidemiological and additive manufacturing problems ⋮ A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs ⋮ Efficient ensemble stochastic algorithms for agent-based models with spatial predator-prey dynamics ⋮ Asymptotic-Preserving Neural Networks for multiscale hyperbolic models of epidemic spread ⋮ Collective dynamics in science and society ⋮ Multiscale models of COVID-19 with mutations and variants ⋮ Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties ⋮ Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty ⋮ What is life? A perspective of the mathematical kinetic theory of active particles ⋮ Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy

Uses Software

• GitHub

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