Virus models in complex frameworks: Towards modeling space patterns of SARS-CoV-2 epidemics

D Burini, N Chouhad - … Models and Methods in Applied Sciences, 2022 - World Scientific
This paper deals with the micro–macro-derivation of virus models coupled with a reaction–
diffusion system that generates the dynamics in space of the virus particles. The first part of …

Describing, modelling and forecasting the spatial and temporal spread of COVID-19: A short review

J Arino - Mathematics of Public Health: Proceedings of the …, 2021 - Springer
SARS-CoV-2 started propagating worldwide in January 2020 and has now reached virtually
all communities on the planet. This short review provides evidence of this spread and …

A primer on using mathematics to understand COVID-19 dynamics: Modeling, analysis and simulations

AB Gumel, EA Iboi, CN Ngonghala… - Infectious Disease …, 2021 - Elsevier
Abstract The novel coronavirus (COVID-19) pandemic that emerged from Wuhan city in
December 2019 overwhelmed health systems and paralyzed economies around the world. It …

A multiscale model of virus pandemic: Heterogeneous interactive entities in a globally connected world

N Bellomo, R Bingham, MAJ Chaplain… - … Models and Methods …, 2020 - World Scientific
This paper is devoted to the multidisciplinary modelling of a pandemic initiated by an
aggressive virus, specifically the so-called SARS–CoV–2 Severe Acute Respiratory …

Cross diffusion models in complex frameworks From microscopic to macroscopic

D Burini, N Chouhad - arXiv preprint arXiv:2303.11210, 2023 - arxiv.org
This paper deals with the micro-macro derivation of models from the underlying description
provided by methods of the kinetic theory for active particles. We consider the so-called …

The hard lessons and shifting modeling trends of COVID-19 dynamics: multiresolution modeling approach

O Akman, S Chauhan, A Ghosh, S Liesman… - Bulletin of Mathematical …, 2022 - Springer
The COVID-19 pandemic has placed epidemiologists, modelers, and policy makers at the
forefront of the global discussion of how to control the spread of coronavirus. The main …

Mathematical modeling of epidemic diseases; a case study of the COVID-19 coronavirus

R Sameni - arXiv preprint arXiv:2003.11371, 2020 - arxiv.org
In this research, we study the propagation patterns of epidemic diseases such as the COVID-
19 coronavirus, from a mathematical modeling perspective. The study is based on an …

[HTML][HTML] A mathematical model for the within-host (re) infection dynamics of SARS-CoV-2

L Schuh, PV Markov, VM Veliov, NI Stilianakis - Mathematical Biosciences, 2024 - Elsevier
Interactions between SARS-CoV-2 and the immune system during infection are complex.
However, understanding the within-host SARS-CoV-2 dynamics is of enormous importance …

Impact of a new SARS-CoV-2 variant on the population: A mathematical modeling approach

G Gonzalez-Parra, D Martínez-Rodríguez… - Mathematical and …, 2021 - mdpi.com
Several SARS-CoV-2 variants have emerged around the world, and the appearance of other
variants depends on many factors. These new variants might have different characteristics …

Mathematical modeling and simulation of the COVID-19 pandemic

G Bärwolff - Systems, 2020 - mdpi.com
The current pandemic is a great challenge for several research areas. In addition to virology
research, mathematical models and simulations can be a valuable contribution to the …