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 …

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 …

Seahir: A specialized compartmental model for covid-19

A Leontitsis, A Senok, A Alsheikh-Ali… - International journal of …, 2021 - mdpi.com
The SEIR (Susceptible-Exposed-Infected-Removed) model is widely used in epidemiology
to mathematically model the spread of infectious diseases with incubation periods. However …

A SIR model assumption for the spread of COVID-19 in different communities

I Cooper, A Mondal, CG Antonopoulos - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, we study the effectiveness of the modelling approach on the pandemic due to
the spreading of the novel COVID-19 disease and develop a susceptible-infected-removed …

Novel Corona virus disease infection in Tunisia: mathematical model and the impact of the quarantine strategy

HB Fredj, F Chérif - Chaos, Solitons & Fractals, 2020 - Elsevier
Abstract Corona virus disease (COVID-19) is an extremely serious infection with an
extremely high death rate worldwide. In March, the disease was declared a” global …

The first 100 days: Modeling the evolution of the COVID-19 pandemic

E Kaxiras, G Neofotistos, E Angelaki - Chaos, Solitons & Fractals, 2020 - Elsevier
A simple analytical model for modeling the evolution of the 2020 COVID-19 pandemic is
presented. The model is based on the numerical solution of the widely used Susceptible …

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 …

Kinetic models for epidemic dynamics with social heterogeneity

G Dimarco, B Perthame, G Toscani… - Journal of Mathematical …, 2021 - Springer
We introduce a mathematical description of the impact of the number of daily contacts in the
spread of infectious diseases by integrating an epidemiological dynamics with a kinetic …

Vaccination effect conjoint to fraction of avoided contacts for a Sars-Cov-2 mathematical model

S Allegretti, IM Bulai, R Marino… - Mathematical …, 2021 - dergipark.org.tr
In this paper, we consider a modified SIR (susceptible-infected-recovered/removed) model
that describes the evolution in time of the infectious disease caused by Sars-Cov-2 (Severe …

Global analysis of the COVID-19 pandemic using simple epidemiological models

JE Amaro, J Dudouet, JN Orce - Applied Mathematical Modelling, 2021 - Elsevier
Several analytical models have been developed in this work to describe the evolution of
fatalities arising from coronavirus COVID-19 worldwide. The Death or 'D'model is a …