Flows of substances in networks and network channels: Selected results and applications
ZI Dimitrova - Entropy, 2022 - mdpi.com
This review paper is devoted to a brief overview of results and models concerning flows in
networks and channels of networks. First of all, we conduct a survey of the literature in …
networks and channels of networks. First of all, we conduct a survey of the literature in …
Delay differential equations for the spatially resolved simulation of epidemics with specific application to COVID‐19
N Guglielmi, E Iacomini… - Mathematical Methods in …, 2022 - Wiley Online Library
In the wake of the 2020 COVID‐19 epidemic, much work has been performed on the
development of mathematical models for the simulation of the epidemic and of disease …
development of mathematical models for the simulation of the epidemic and of disease …
Hyperbolic compartmental models for epidemic spread on networks with uncertain data: application to the emergence of Covid-19 in Italy
G Bertaglia, L Pareschi - … Models and Methods in Applied Sciences, 2021 - World Scientific
The importance of spatial networks in the spread of an epidemic is an essential aspect in
modeling the dynamics of an infectious disease. Additionally, any realistic data-driven model …
modeling the dynamics of an infectious disease. Additionally, any realistic data-driven model …
Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty
In this paper we introduce a space-dependent multiscale model to describe the spatial
spread of an infectious disease under uncertain data with particular interest in simulating the …
spread of an infectious disease under uncertain data with particular interest in simulating the …
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations
In this paper, we propose a novel space-dependent multiscale model for the spread of
infectious diseases in a two-dimensional spatial context on realistic geographical scenarios …
infectious diseases in a two-dimensional spatial context on realistic geographical scenarios …
Boundary stabilization of 1D hyperbolic systems
A Hayat - Annual Reviews in Control, 2021 - Elsevier
Hyperbolic systems model the phenomena of propagations at finite speeds. They are
present in many fields of science and, consequently, in many human applications. For these …
present in many fields of science and, consequently, in many human applications. For these …
Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscale spatial dynamics
In this survey we report some recent results in the mathematical modelling of epidemic
phenomena through the use of kinetic equations. We initially consider models of interaction …
phenomena through the use of kinetic equations. We initially consider models of interaction …
Coupled and uncoupled dynamic mode decomposition in multi-compartmental systems with applications to epidemiological and additive manufacturing problems
Abstract Dynamic Mode Decomposition (DMD) is an unsupervised machine learning
method that has attracted considerable attention in recent years owing to its equation-free …
method that has attracted considerable attention in recent years owing to its equation-free …
[PDF][PDF] A viral load-based model for epidemic spread on spatial networks
In this paper, we propose a Boltzmann-type kinetic model of the spreading of an infectious
disease on a network. The latter describes the connections among countries, cities or …
disease on a network. The latter describes the connections among countries, cities or …
Asymptotic-Preserving Neural Networks for multiscale hyperbolic models of epidemic spread
When investigating epidemic dynamics through differential models, the parameters needed
to understand the phenomenon and to simulate forecast scenarios require a delicate …
to understand the phenomenon and to simulate forecast scenarios require a delicate …