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We model the COVID-19 coronavirus epidemic in China. We use early reported case data to predict the cumulative number of reported cases to a final size. The key features of our model are the timing of implementation of major public policies…

Populations and Evolution · Quantitative Biology 2020-02-28 Zhihua Liu , Pierre Magal , Ousmane Seydi , Glenn Webb

We present a new mathematical model to explicitly capture the effects that the three restriction measures: the lockdown date and duration, social distancing and masks, and, schools and border closing, have in controlling the spread of…

Populations and Evolution · Quantitative Biology 2020-08-25 Liam Dowling Jones , Malik Magdon-Ismail , Laura Mersini-Houghton , Steven Meshnick

We consider the SEIRS compartment epidemiology model suitable for predicting the evolution of the COVID-19 pandemy in the extreme limiting case of no acquired immunity. The disease-free and endemic fixed points are found and their stability…

Populations and Evolution · Quantitative Biology 2020-12-15 J. M. Ilnytskyi

The Covid-19 pandemic is ongoing worldwide, and the damage it has caused is unprecedented. For prevention, South Korea has adopted a local quarantine strategy rather than a global lockdown. This approach not only minimizes economic damage,…

Physics and Society · Physics 2022-02-15 K. Choi , Hoyun Choi , B. Kahng

Objective. The COVID-19 pandemic has threatened to collapse hospital and ICU services, and it has affected the care programs for non-COVID patients. The objective was to develop a mathematical model designed to optimize predictions related…

The COVID-19 pandemic has impacted lives and economies across the globe, leading to many deaths. While vaccination is an important intervention, its roll-out is slow and unequal across the globe. Therefore, extensive testing still remains…

Epidemic models are invaluable tools to understand and implement strategies to control the spread of infectious diseases, as well as to inform public health policies and resource allocation. However, current modeling approaches have…

Methodology · Statistics 2026-05-12 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

Mathematical models are widely recognized as an important tool for analyzing and understanding the dynamics of infectious disease outbreaks, predict their future trends, and evaluate public health intervention measures for disease control…

Signal Processing · Electrical Eng. & Systems 2021-06-16 Yukun Tan , Durward Cator , Martial Ndeffo-Mbah , Ulisses Braga-Neto

We present a compartmental SEIRD model aimed at forecasting hospital occupancy in metropolitan areas during the current COVID-19 outbreak. The model features asymptomatic and symptomatic infections with detailed hospital dynamics. We model…

Populations and Evolution · Quantitative Biology 2020-06-08 Marcos A. Capistran , Antonio Capella , J. Andres Christen

We introduce a mathematical description of the impact of sociality in the spread of infectious diseases by integrating an epidemiological dynamics with a kinetic modeling of population-based contacts. The kinetic description leads to study…

Physics and Society · Physics 2021-04-02 G. Dimarco , B. Perthame , G. Toscani , M. Zanella

A reasonable prediction of infectious diseases transmission process under different disease control strategies is an important reference point for policy makers. Here we established a dynamic transmission model via Python and realized…

Populations and Evolution · Quantitative Biology 2021-02-23 Yuxuan Zhang , Chen Gong , Dawei Li , Zhi-Wei Wang , Shengda D Pu , Alex W Robertson , Hong Yu , John Parrington

The novel COVID-19 pandemic is a current, major global health threat. Up till now, there is no fully approved pharmacological treatment or a vaccine. In this study, simple mathematical models were employed to examine the dynamics of…

Physics and Society · Physics 2020-12-25 Ahmed S. Elgazzar

This paper develops an agent-level simulation model, termed ALPS, for simulating the spread of an infectious disease in a confined community. The mechanism of transmission is agent-to-agent contact, using parameters reported for Corona…

Physics and Society · Physics 2020-04-28 Anuj Srivastava

The spread of COVID-19 has been thwarted in most countries through non-pharmaceutical interventions. In particular, the most effective measures in this direction have been the stay-at-home and closure strategies of businesses and schools.…

Physics and Society · Physics 2022-05-04 G. Dimarco , G. Toscani , M. Zanella

Understanding how widely COVID-19 has spread is critical for examining the pandemic's progression. Despite efforts to carefully monitor the pandemic, the number of confirmed cases may underestimate the total number of infections. We…

Populations and Evolution · Quantitative Biology 2020-05-27 Christina Bohk-Ewald , Christian Dudel , Mikko Myrskylä

This study develops a framework for quantification of the impact of changes in population mobility due to social distancing on the COVID-19 infection growth rate. Using the Susceptible-Infected-Recovered (SIR) epidemiological model we…

Populations and Evolution · Quantitative Biology 2020-06-05 Benjamin Seibold , Zivjena Vucetic , Slobodan Vucetic

In this study, we develop and analyze a nested multi-scale model for COVID -19 disease that integrates within-host scale and between-host scale sub-models. First, the well-posedness of the multi-scale model is discussed, followed by the…

Dynamical Systems · Mathematics 2021-08-30 Bishal Chhetri , D. K. K Vamsi , Carani Sanjeevi

Multiple lines of evidence strongly suggest that infection hotspots, where a single individual infects many others, play a key role in the transmission dynamics of COVID-19. However, most of the existing epidemiological models fail to…

A population can be immune to epidemics even if not all of its individual members are immune to the disease, so long as sufficiently many are immune - this is the traditional notion of herd immunity. In the smartphone era a population can…

Statistical Mechanics · Physics 2021-08-24 Vir B. Bulchandani , Saumya Shivam , Sanjay Moudgalya , S. L. Sondhi

The presence of a large number of infected individuals with few or no symptoms is an important epidemiological difficulty and the main mathematical feature of COVID-19. The A-SIR model, i.e. a SIR (Susceptible-Infected-Removed) model with a…

Populations and Evolution · Quantitative Biology 2020-08-19 Armando G. M. Neves , Gustavo Guerrero
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