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In 2014, a major epidemic of human Ebola virus disease emerged in West Africa, where human-to-human transmission has now been been sustained for greater than 10 months. In the summer of 2014, there was great uncertainty about the answers to…

Populations and Evolution · Quantitative Biology 2014-11-03 John M. Drake , RajReni B. Kaul , Laura Alexander , Suzanne M. O'Regan , Andrew M. Kramer , J. Tomlin Pulliam , Matthew J. Ferrari , Andrew W. Park

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 review epidemiological models for the propagation of the COVID-19 pandemic during the early months of the outbreak: from February to May 2020. The aim is to propose a methodological review that highlights the following characteristics:…

The primary goal of this research is to investigate the impact of delay on the dynamics of the Susceptible-Exposed-Infected-Recovered-Death and Susceptible (SEIRDS) model, to which we add a stochastic term to account for uncertainty in…

Populations and Evolution · Quantitative Biology 2022-08-17 Mohamed Ben Alaya , Walid Ben Aribi , Slimane Ben Miled

In the absence of pharmaceutical interventions to curb the spread of COVID-19, countries relied on a number of nonpharmaceutical interventions to fight the first wave of the pandemic. The most prevalent one has been stay-at-home orders,…

Applications · Statistics 2020-07-21 Kristi Bushman , Konstantinos Pelechrinis , Alexandros Labrinidis

While understanding of periodic recurrent waves of Covid-19 epidemics would aid to combat the pandemics, quantitative analysis of data over a two years period from the outbreak, is lacking. The complexity of Covid-19 recurrent waves is…

Populations and Evolution · Quantitative Biology 2022-06-09 Gaetano Campi , Antonio Bianconi

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

Accurate identification of effective epidemic threshold is essential for understanding epidemic dynamics on complex networks. The existing studies on the effective epidemic threshold of the susceptible-infected-removed (SIR) model generally…

Physics and Society · Physics 2016-06-14 Panpan Shu , Wei Wang , Ming Tang , Pengcheng Zhao , Yi-Cheng Zhang

We study a dynamics of the epidemiological infection spreading at different values of the risk factor $\beta$ (a control parameter) with the using of dynamic Monte Carlo approach (DMC). In our toy model, the infection transmits due to…

Physics and Society · Physics 2020-06-01 Gennadiy Burlak

Epidemic models describe the evolution of a communicable disease over time. These models are often modified to include the effects of interventions (control measures) such as vaccination, social distancing, school closings etc. Many such…

Methodology · Statistics 2026-01-27 Heejong Bong , Valérie Ventura , Larry Wasserman

In mid of March 2020, Coronaviruses such as COVID-19 is declared as an international epidemic. More than 125000 confirmed cases and 4,607 death cases have been recorded around more than 118 countries. Unfortunately, a coronavirus vaccine is…

Populations and Evolution · Quantitative Biology 2020-03-18 Haytham H. Elmousalami , Aboul Ella Hassanien

An outbreak of respiratory disease caused by a novel coronavirus is ongoing from December 2019. As of July 22, 2020, it has caused an epidemic outbreak with more than 15 million confirmed infections and above 6 hundred thousand reported…

Populations and Evolution · Quantitative Biology 2021-05-21 Sk Shahid Nadim , Indrajit Ghosh , Joydev Chattopadhyay

By the end of July 2020, the COVID-19 pandemic had infected more than seventeen million people and had spread to almost all countries worldwide. In response, many countries all over the world have used different methods to reduce the…

Physics and Society · Physics 2020-08-21 Hilla De-Leon , Francesco Pederiva

A quantitative COVID-19 model that incorporates hidden asymptomatic patients is developed, and an analytic solution in parametric form is given. The model incorporates the impact of lockdown and resulting spatial migration of population due…

Populations and Evolution · Quantitative Biology 2020-06-02 Shaurya Kaushal , Abhineet Singh Rajput , Soumyadeep Bhattacharya , M. Vidyasagar , Aloke Kumar , Meher K. Prakash , Santosh Ansumali

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

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

We are currently facing a highly critical case of a world-wide pandemic. The novel coronavirus (SARS-CoV-2, a.k.a. COVID-19) has proved to be extremely contagious and the original outbreak from Asia has now spread to all continents. This…

Physics and Society · Physics 2020-06-26 Priyanka , Vicky Verma

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

The COVID-19 pandemic forced the rapid development of vaccines and the implementation of mass vaccination programs around the world. However, many hesitated to take the vaccine due to concerns about its effectiveness. By looking at an…

Populations and Evolution · Quantitative Biology 2025-10-15 Ma. Cristina R. Bargo

Motivated by COVID-19, we develop and analyze a simple stochastic model for a disease spread in human population. We track how the number of infected and critically ill people develops over time in order to estimate the demand that is…

Populations and Evolution · Quantitative Biology 2022-05-10 Jakub Svoboda , Josef Tkadlec , Andreas Pavlogiannis , Krishnendu Chatterjee , Martin A. Nowak