Modeling, estimation, and analysis of epidemics over networks: An overview

PE Paré, CL Beck, T Başar - Annual Reviews in Control, 2020 - Elsevier
We present and discuss a variety of mathematical models that have been proposed to
capture the dynamic behavior of epidemic processes. We first present traditional group …

Short-term predictions and prevention strategies for COVID-19: a model-based study

SS Nadim, I Ghosh, J Chattopadhyay - Applied mathematics and …, 2021 - Elsevier
An outbreak of respiratory disease caused by a novel coronavirus is ongoing from
December 2019. As of December 14, 2020, it has caused an epidemic outbreak with more …

[HTML][HTML] A mathematical COVID-19 model considering asymptomatic and symptomatic classes with waning immunity

N Anggriani, MZ Ndii, R Amelia, W Suryaningrat… - Alexandria Engineering …, 2022 - Elsevier
The spread of COVID-19 to more than 200 countries has shocked the public. Therefore,
understanding the dynamics of transmission is very important. In this paper, the COVID-19 …

A model based on cellular automata to estimate the social isolation impact on COVID-19 spreading in Brazil

PHT Schimit - Computer methods and programs in biomedicine, 2021 - Elsevier
Background and objective Many countries around the world experienced a high increase in
the number of COVID-19 cases after a few weeks of the first case, and along with it …

[HTML][HTML] A dynamic microsimulation model for epidemics

F Spooner, JF Abrams, K Morrissey, G Shaddick… - Social Science & …, 2021 - Elsevier
A large evidence base demonstrates that the outcomes of COVID-19 and national and local
interventions are not distributed equally across different communities. The need to inform …

[HTML][HTML] A spatial-temporal model for the evolution of the COVID-19 pandemic in Spain including mobility

F Aràndiga, A Baeza, I Cordero-Carrión, R Donat… - Mathematics, 2020 - mdpi.com
In this work, a model for the simulation of infectious disease outbreaks including mobility
data is presented. The model is based on the SAIR compartmental model and includes …

A reaction-diffusion system to better comprehend the unlockdown: Application of SEIR-type model with diffusion to the spatial spread of COVID-19 in France

Y Mammeri - Computational and Mathematical Biophysics, 2020 - degruyter.com
We wondered that if a reaction-diffusion model considering only the mean daily movement
of susceptible, exposed and asymptomatic individuals was enough to describe the spread of …

Capturing the effects of transportation on the spread of COVID-19 with a multi-networked SEIR model

D Vrabac, M Shang, B Butler, J Pham… - 2021 American …, 2021 - ieeexplore.ieee.org
In this paper we present a deterministic discrete-time networked SEIR model that includes a
number of transportation networks, and present assumptions under which it is well defined …

Reaction-diffusion spatial modeling of COVID-19: Greece and Andalusia as case examples

PG Kevrekidis, J Cuevas-Maraver, Y Drossinos, Z Rapti… - Physical Review E, 2021 - APS
We examine the spatial modeling of the outbreak of COVID-19 in two regions: the
autonomous community of Andalusia in Spain and the mainland of Greece. We start with a …

Stationary distribution and probability density for a stochastic SEIR-type model of coronavirus (COVID-19) with asymptomatic carriers

Q Liu, D Jiang - Chaos, Solitons & Fractals, 2023 - Elsevier
In this paper, we propose a stochastic SEIR-type model with asymptomatic carriers to
describe the propagation mechanism of coronavirus (COVID-19) in the population. Firstly …