Well‐posedness for a diffusion–reaction compartmental model simulating the spread of COVID‐19
DOI10.1002/MMA.9196zbMath1529.35526arXiv2203.10869MaRDI QIDQ6178206
Pierluigi Colli, Alessandro Reali, Gianni Gilardi, Elisabetta Rocca, Ferdinando Auricchio
Publication date: 18 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.10869
initial-boundary value problemuniquenessexistence of solutionspartial differential equationscompartmental modelCOVID-19diffusion-reaction system
Epidemiology (92D30) Applications of functional analysis in biology and other sciences (46N60) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92)
Related Items (1)
Cites Work
- Unnamed Item
- Degenerate parabolic equations
- Simulating the spread of COVID-19 \textit{via} a spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion
- Control with uncertain data of socially structured compartmental epidemic models
- Bayesian-based predictions of COVID-19 evolution in Texas using multispecies mixture-theoretic continuum models
- Is it safe to lift COVID-19 travel bans? The Newfoundland story
- Diffusion-reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study
- System inference for the spatio-temporal evolution of infectious diseases: Michigan in the time of COVID-19
- An agent-based computational framework for simulation of global pandemic and social response on \textit{planet X}
- Propagation of epidemics along lines with fast diffusion
- Continuous-time stochastic processes for the spread of COVID-19 disease simulated via a Monte Carlo approach and comparison with deterministic models
- Adaptive mesh refinement and coarsening for diffusion-reaction epidemiological models
- Boundedness in a chemotaxis-May-Nowak model for virus dynamics with mildly saturated chemotactic sensitivity
- Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
- Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems
- Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy
- Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
- A multiscale model of virus pandemic: Heterogeneous interactive entities in a globally connected world
- Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection
This page was built for publication: Well‐posedness for a diffusion–reaction compartmental model simulating the spread of COVID‐19