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We propose a simple model for understanding the kinetics of corona virus transmission. Our model assume spreading of corona virus can happen from one to another only, if someone without enough protection comes close contact to a person…

Populations and Evolution · Quantitative Biology 2020-03-25 Proma Mondal , Timothy A. Gonsalves , Aniruddha Chakraborty

We present a simple analytical model to describe the fast increase of deaths produced by the corona virus (COVID-19) infections. The 'D' (deaths) model comes from a simplified version of the SIR (susceptible-infected-recovered) model known…

Populations and Evolution · Quantitative Biology 2020-04-01 J. E. Amaro

The appearance of the coronavirus (COVID-19) in late 2019 has dominated the news in the last few months as it developed into a pandemic. In many mathematics and physics classrooms, instructors are using the time series of the number of…

Physics Education · Physics 2020-07-24 Paulo H. Acioli

Several analytical models have been used in this work to describe the evolution of death cases arising from coronavirus (COVID-19). The Death or `D' model is a simplified version of the SIR (susceptible-infected-recovered) model, which…

Populations and Evolution · Quantitative Biology 2020-11-19 J. E. Amaro , J. Dudouet , J. N. Orce

A mathematical model is proposed for quantitative description of the outbreak of novel coronavirus COVID-19 in China. Although the model is relatively simple, the comparison with the public data shows that an exact solution solution of the…

Physics and Society · Physics 2020-04-10 Roman Cherniha , Vasyl' Davydovych

Based on the official data modeling, this paper studies the transmission process of the Corona Virus Disease 2019 (COVID-19). The error between the model and the official data curve is within 3%. At the same time, it realized forward…

Populations and Evolution · Quantitative Biology 2020-03-17 Lixiang Li , Zihang Yang , Zhongkai Dang , Cui Meng , Jingze Huang , Hao Tian Meng , Deyu Wang , Guanhua Chen , Jiaxuan Zhang , Haipeng Peng

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 extensions of the well-known susceptible-infected-recovered (SIR)…

Populations and Evolution · Quantitative Biology 2021-01-01 Reza Sameni

This technical report describes a dynamic causal model of the spread of coronavirus through a population. The model is based upon ensemble or population dynamics that generate outcomes, like new cases and deaths over time. The purpose of…

The death toll for Covid-19 may be reduced by dividing the population into two classes, the vulnerable and the fit, with different lockdown regimes. Instead of one reproduction number there now are four parameters. These make it possible to…

Populations and Evolution · Quantitative Biology 2020-10-05 Guus Balkema

We present two different approaches for modeling the spread of the COVID-19 pandemic. Both approaches are based on the population classes susceptible, exposed, infectious, quarantined, and recovered and allow for an arbitrary number of…

Populations and Evolution · Quantitative Biology 2021-05-11 Constantia Alexandrou , Vangelis Harmandaris , Anastasios Irakleous , Giannis Koutsou , Nikos Savva

In this paper, we apply statistical methods for functional data to explain the heterogeneity in the evolution of number of deaths of Covid-19 over different regions. We treat the cumulative daily number of deaths in a specific region as a…

Applications · Statistics 2021-09-07 Julian A. A. Collazos , Ronaldo Dias , Marcelo C. Medeiros

We propose a simple model of spreading of some infection in an originally healthy population which is different from other models existing in the literature. In particular, we use an operator technique which allows us to describe in a…

Populations and Evolution · Quantitative Biology 2020-10-29 F. Bagarello , F. Gargano , F. Roccati

Two stochastic models are proposed to describe the evolution of the COVID-19 pandemic. In the first model the population is partitioned into four compartments: susceptible $S$, infected $I$, removed $R$ and dead people $D$. In order to have…

Populations and Evolution · Quantitative Biology 2021-09-16 Fabiana Calleri , Giovanni Nastasi , Vittorio Romano

The discovery of SARS-CoV-2, the responsible virus for the Covid-19 epidemic, has sparked a global health concern with many countries affected. Developing models that can interpret the epidemic and give common trend parameters are useful…

Populations and Evolution · Quantitative Biology 2021-09-21 Milad Radiom , Jean-Franccois Berret

The aim of the paper is to describe a model of the development of the Covid-19 contamination of the population of a country or a region. For this purpose a special branching process with two types of individuals is considered. This model is…

Methodology · Statistics 2020-04-03 Nikolay M. Yanev , Vessela K. Stoimenova , Dimitar V. Atanasov

This paper deals with the mathematical modeling and numerical simulations related to the coronavirus dynamics. A description is developed based on the framework of susceptible-exposed-infectious-recovered model. Initially, a model…

Populations and Evolution · Quantitative Biology 2020-04-27 Pedro V. Savi , Marcelo A. Savi , Beatriz Borges

In the present article we introduce an epidemiological model for the investigation of the spread of epidemics caused by viruses. The model is applied specifically to COVID-19, the disease caused by the SARS-Cov-2 virus (aka "novel…

Populations and Evolution · Quantitative Biology 2020-04-10 Rodrigo A. Schulz , Carlos H. Coimbra-Araújo , Samuel W. S. Costiche

A new coronavirus disease, called COVID-19, appeared in the Chinese region of Wuhan at the end of last year; since then the virus spread to other countries, including most of Europe. We propose a differential equation governing the…

Populations and Evolution · Quantitative Biology 2020-09-15 Giorgio Sonnino , Pasquale Nardone

Countries are recording health information on the global spread of COVID-19 using different methods, sometimes changing the rules after a few days. They are all publishing the number of new individuals infected, cured and dead, along with…

Populations and Evolution · Quantitative Biology 2020-12-15 J. M. Calabuig , L. M. García-Raffi , A. García-Valiente , E. A. Sánchez-Pérez

An epidemiological model for COVID-19 was developed and implemented in MATLAB/GNU Octave for use by public health practitioners, policy makers and the general public. The model distinguishes four stages in the disease: infected, sick,…

Populations and Evolution · Quantitative Biology 2020-03-24 Alex De Visscher
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