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A fractional compartmental mathematical model for the spread of the COVID-19 disease is proposed. Special focus has been done on the transmissibility of super-spreaders individuals. Numerical simulations are shown for data of Galicia,…

Populations and Evolution · Quantitative Biology 2021-01-15 Faical Ndairou , Ivan Area , Juan J. Nieto , Cristiana J. Silva , Delfim F. M. Torres

In [Ecological Complexity 44 (2020) Art. 100885, DOI: 10.1016/j.ecocom.2020.100885] a continuous-time compartmental mathematical model for the spread of the Coronavirus disease 2019 (COVID-19) is presented with Portugal as case study, from…

Numerical Analysis · Mathematics 2021-11-24 Sandra Vaz , Delfim F. M. Torres

The outbreak of COVID-19 in 2020 has led to a surge in interest in the mathematical modeling of infectious diseases. Such models are usually defined as compartmental models, in which the population under study is divided into compartments…

Populations and Evolution · Quantitative Biology 2021-02-16 Malú Grave , Alex Viguerie , Gabriel F. Barros , Alessandro Reali , Alvaro L. G. A. Coutinho

We propose a compartmental mathematical model for the spread of the COVID-19 disease with special focus on the transmissibility of super-spreaders individuals. We compute the basic reproduction number threshold, we study the local stability…

Populations and Evolution · Quantitative Biology 2020-05-05 Faical Ndairou , Ivan Area , Juan J. Nieto , Delfim F. M. Torres

A fractional-order compartmental model was recently used to describe real data of the first wave of the COVID-19 pandemic in Portugal [Chaos Solitons Fractals 144 (2021), Art. 110652]. Here, we modify that model in order to correct time…

Optimization and Control · Mathematics 2022-04-12 Silverio Rosa , Delfim F. M. Torres

The COVID-19 pandemic has presented unprecedented challenges worldwide, necessitating effective modelling approaches to understand and control its transmission dynamics. In this study, we propose a novel approach that integrates…

Populations and Evolution · Quantitative Biology 2025-01-14 Moein Khalighi , Leo Lahti , Faïçal Ndaïrou , Peter Rashkov , Delfim F. M. Torres

We present a compartmental mathematical model with demography for the spread of the COVID-19 disease, considering also asymptomatic infectious individuals. We compute the basic reproductive ratio of the model and study the local and global…

Populations and Evolution · Quantitative Biology 2020-11-17 Vasiliki Bitsouni , Nikolaos Gialelis , Ioannis G. Stratis

We study the reported data from the COVID-19 pandemic outbreak in January - May 2020 in 119 countries. We observe that the time series of active cases in individual countries (the difference of the total number of confirmed infections and…

Populations and Evolution · Quantitative Biology 2020-05-15 Katarina Bodova , Richard Kollar

We propose a mathematical model for the transmission dynamics of SARS-CoV-2 in a homogeneously mixing non constant population, and generalize it to a model where the parameters are given by piecewise constant functions. This allows us to…

We propose a qualitative analysis of a recent fractional-order COVID-19 model. We start by showing that the model is mathematically and biologically well posed. Then, we give a proof on the global stability of the disease free equilibrium…

Dynamical Systems · Mathematics 2021-06-30 Faical Ndairou , Delfim F. M. Torres

A mathematical model was developed describing the dynamic of the COVID-19 virus over a population considering that the infected can either be symptomatic or not. The model was calibrated using data on the confirmed cases and death from…

Populations and Evolution · Quantitative Biology 2020-04-14 Jayrold P. Arcede , Randy L. Caga-anan , Cheryl Q. Mentuda , Youcef Mammeri

We introduce a new probabilistic model to estimate the real spread of the novel SARS-CoV-2 virus along regions or countries. Our model simulates the behavior of each individual in a population according to a probabilistic model through an…

Populations and Evolution · Quantitative Biology 2020-05-05 Marcos Matabuena , Carlos Meijide-García , Pablo Rodríguez-Mier , Víctor Leborán

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

The outbreak of Covid-19 led the world to an unprecedent health and economical crisis. In an attempt to responde to this emergency researchers worldwide are intensively studying the Covid-19 pandemic dynamics. In this work, a SIRSi…

Populations and Evolution · Quantitative Biology 2020-08-07 Cristiane M. Batistela , Diego P. F. Correa , Átila M Bueno , José R. C. Piqueira

COVID-19 is a new pandemic disease that is affecting almost every country with a negative impact on social life and economic activities. The number of infected and deceased patients continues to increase globally. Mathematical models can…

We have proposed an SEIR compartmental mathematical model. The prime objective of this study is to analyze and forecast the pandemic in Italy for the upcoming months. The basic reproduction number has been calculated. Based on the current…

Populations and Evolution · Quantitative Biology 2021-04-06 Sumit Kumar , Sandeep Sharma , Nitu Kumari

Coronavirus outbreak is one of the most challenging pandemics for the entire human population of the planet Earth. Techniques such as the isolation of infected persons and maintaining social distancing are the only preventive measures…

Social and Information Networks · Computer Science 2020-09-01 Rahul Mishra , Hari Prabhat Gupta , Tanima Dutta

After the breakout of the disease caused by the new virus COVID-19, the mitigation stage has been reached in most of the countries in the world. During this stage, a more accurate data analysis of the daily reported cases and other…

Populations and Evolution · Quantitative Biology 2020-07-01 S. Maltezos

The phenomenological mathematical model of COVID-19 spreading is proposed for large countries with geographical differentiation of population density. According to the model COVID-19 spreading takes the form of several spatio-temporal waves…

Biological Physics · Physics 2020-12-14 P. S. Grinchuk , S. P. Fisenko

The world is still fighting against COVID-19, which has been lasting for more than a year. Till date, it has been a greatest challenge to human beings in fighting against COVID-19 since, the pathogen SARS-COV-2 that causes COVID-19 has…

Populations and Evolution · Quantitative Biology 2021-06-17 P. Tamilalagan , B. Krithika , P. Manivannan
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