Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty
From MaRDI portal
Publication:2092130
DOI10.3934/mbe.2021350zbMath1501.92144arXiv2106.07262OpenAlexW3169896837MaRDI QIDQ2092130
Lorenzo Pareschi, Giulia Bertaglia, Walter Boscheri, Giacomo Dimarco
Publication date: 2 November 2022
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.07262
unstructured gridsuncertainty quantificationasymptotic-preserving schemesepidemic modelsdiffusion limitkinetic transport equationsCOVID-19commuting flows
Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Transport equations (35Q49)
Related Items
A diffusive SEIR model for community transmission of Covid-19 epidemics: application to Brazil, Kinetic Modelling of Epidemic Dynamics: Social Contacts, Control with Uncertain Data, and Multiscale Spatial Dynamics, Spatialized epidemiological forecasting applied to Covid-19 pandemic at departmental scale in France, Asymptotic-Preserving Neural Networks for multiscale hyperbolic models of epidemic spread, An SIR model with viral load-dependent transmission, Kinetic models for epidemic dynamics in the presence of opinion polarization, Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties, A stochastic metapopulation state-space approach to modeling and estimating COVID-19 spread, Multigroup-like MC resolution of generalised polynomial chaos reduced models of the uncertain linear Boltzmann equation (+discussion on hybrid intrusive/non-intrusive uncertainty propagation)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A kinetic model for epidemic spread
- Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- A reaction-diffusion model for a deterministic diffusive epidemic
- A generalization of the Kermack-McKendrick deterministic epidemic model
- The mathematical theory of dilute gases
- Kinetic modeling of local epidemic spread and its simulation
- Epidemic modeling in metapopulation systems with heterogeneous coupling pattern: theory and simulations
- Generalized kinetic theory approach to modeling spread- and evolution of epidemics
- Kinetic models for chemotaxis and their drift-diffusion limits
- An age and space structured SIR model describing the covid-19 pandemic
- Spatial spread of epidemic diseases in geographical settings: seasonal influenza epidemics in Puerto Rico
- Simulating the spread of COVID-19 \textit{via} a spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion
- An improved response function based stochastic meshless method for problems in elasto-statics
- Control with uncertain data of socially structured compartmental epidemic models
- High order direct arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes
- High order central WENO-implicit-explicit Runge Kutta schemes for the BGK model on general polygonal meshes
- Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment
- Diffusion-reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study
- The Mathematics of Infectious Diseases
- The Diffusion Limit of Transport Equations in Biology
- Global Solution for a Diffusive Nonlinear Deterministic Epidemic Model
- Numerical simulation of a susceptible–exposed–infectious space-continuous model for the spread of rabies in raccoons across a realistic landscape
- The Convergence of Numerical Transfer Schemes in Diffusive Regimes I: Discrete-Ordinate Method
- An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit
- Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
- Central Weighted ENO Schemes for Hyperbolic Conservation Laws on Fixed and Moving Unstructured Meshes
- Efficient Stochastic Asymptotic-Preserving Implicit-Explicit Methods for Transport Equations with Diffusive Scalings and Random Inputs
- Numerical methods for kinetic equations
- Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
- Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods
- Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy
- A multiscale model of virus pandemic: Heterogeneous interactive entities in a globally connected world
- Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations
- Existence and Uniqueness Theorems for the Neutron Transport Equation
- A Unified IMEX Runge--Kutta Approach for Hyperbolic Systems with Multiscale Relaxation
- Non-linear incidence and stability of infectious disease models
