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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…

This study assesses the impact of COVID-19 vaccines through an epidemiological model that quantifies their role in pandemic control. We analyze an SIR-based model incorporating vaccination effects and calculate the basic reproduction…

Dynamical Systems · Mathematics 2025-07-29 Tesfalem Abate Tegegn , Yibeltal Adane Terefe

The rapid development of vaccines to combat the spread of COVID-19 disease caused by the SARS-CoV-2 virus is a great scientific achievement. Before the development of the COVID-19 vaccines, most studies capitalized on the available data…

OBJECTIVES: Estimates of the basic reproduction number (R0) of COVID-19 vary across countries. This paper aims to characterise the spatial variability in R0 across the first six months of the global COVID-19 outbreak, and to explore social…

The COVID-19 epidemic has been spreading around the world for nearly three years, and asymptomatic infections have exacerbated the spread of the epidemic. To evaluate the role of asymptomatic infections in the spread of the epidemic, we…

Analysis of PDEs · Mathematics 2022-10-25 ZH. Zhang , XT. Huang , KD. Cheng , CQ. Xu , SB. Guo , XJ. Wang

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

Within a short period of time, COVID-19 grew into a world-wide pandemic. Transmission by pre-symptomatic and asymptomatic viral carriers rendered intervention and containment of the disease extremely challenging. Based on reported infection…

Populations and Evolution · Quantitative Biology 2021-02-24 Liang Tian , Xuefei Li , Fei Qi , Qian-Yuan Tang , Viola Tang , Jiang Liu , Zhiyuan Li , Xingye Cheng , Xuanxuan Li , Yingchen Shi , Haiguang Liu , Lei-Han Tang

One of the key indicators used in tracking the evolution of an infectious disease isthe reproduction number. This quantity is usually computed using the reportednumber of cases, but ignoring that many more individuals may be infected…

Populations and Evolution · Quantitative Biology 2020-09-11 Andrea De Simone , Marco Piangerelli

We present a simple technique to compare the development of the Covid-19 epidemic in different regions, based only on the time series of confirmed cases. Weekly new infections, taken for every day, are interpreted as infection potential of…

Populations and Evolution · Quantitative Biology 2020-06-04 Christoph Bandt

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-Infectious-Removed (SIR) populations model for describing…

Populations and Evolution · Quantitative Biology 2020-08-26 Efthimios Kaxiras , George Neofotistos , Eleni Angelaki

In this work, we discuss the SIR epidemiological model and different variations of it applied to the propagation of the COVID-19 pandemia; we employ the data of the state of Guanajuato and of Mexico. We present some considerations that can…

Populations and Evolution · Quantitative Biology 2022-11-16 Nana Cabo Bizet , Jonanthan Hidalgo Núñez , Gil Estefano Rodrígez Rivera

We consider the SIR epidemiological model applied to the evolution of COVID-19 with two approaches. In the first place we fit a global SIR model, with time delay, and constant parameters throughout the outbreak, including the contagion…

Populations and Evolution · Quantitative Biology 2020-06-23 Nana Geraldine Cabo Bizet , Damián Kaloni Mayorga Peña

We have proposed a new form of growth rate for population ecology. Generally, the growth rate is dependent on the size of the population at that particular epoch. We have introduced an alternative time-dependent form of growth rate. This…

Populations and Evolution · Quantitative Biology 2020-04-28 Deeptak Biswas , Sulagna Roy

During the COVID-19 pandemic, the behavioral response to reported case numbers changed drastically over time. While a few dozen cases were enough to trigger government-induced and voluntary contact reduction in early 2020, less than a year…

Physics and Society · Physics 2023-09-27 Bastian Heinlein , Manlio De Domenico

Timely prediction of the COVID-19 progression is not possible without a comprehensive understanding of environmental factors that may affect the infection transmissibility. Studies addressing parameters that may influence COVID-19…

Populations and Evolution · Quantitative Biology 2021-03-30 Igor Salom , Andjela Rodic , Ognjen Milicevic , Dusan Zigic , Magdalena Djordjevic , Marko Djordjevic

The aim of this study is to propose a modified Susceptible-Exposed-Infectious-Removed (SEIR) model that describes the behaviour of symptomatic, asymptomatic and hospitalized patients of COVID-19 epidemic, including the effect of demographic…

The coronavirus disease 2019 (COVID-19) pandemic radically impacts our lives, while the transmission/infection and recovery dynamics of COVID-19 remain obscure. A time-dependent Susceptible, Exposed, Infectious, and Recovered (SEIR) model…

Populations and Evolution · Quantitative Biology 2020-04-01 Yong Zhang , Xiangnan Yu , HongGuang Sun , Geoffrey R. Tick , Wei Wei , Bin Jin

Addressed in this work is the performance of five popular algorithms, which aim at assessing the dissemination dynamics of the COVID-19 disease on the basis of the time series of new confirmed cases. The tests are based on simulated data,…

Populations and Evolution · Quantitative Biology 2021-05-10 Evangelos Matsinos

An epidemiological model is developed for the spread of COVID-19 in South Africa. A variant of the classical compartmental SEIR model, called the SEIQRDP model, is used. As South Africa is still in the early phases of the global COVID-19…

Populations and Evolution · Quantitative Biology 2020-05-25 L. E. Olivier , I. K. Craig

In this paper we analyze the effects of commuting and social inequalities for the epidemic development of the novel coronavirus (COVID-19). With this aim we consider a SEIRD (susceptible, exposed, infected, recovered and dead by disease)…

Populations and Evolution · Quantitative Biology 2020-08-18 João A. M. Gondim , Thiago Yukio Tanaka
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