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We consider a crowd of N persons trying to exit some area trough a small exit. The probability is calculated that an individual is able to withdraw from the crowd under one's own steam. The problem is simulated within the generalized force…

Physics and Society · Physics 2015-05-19 Przemysław Gawroński , Krzysztof Kułakowski

In this paper we consider robust models for emergency staff deployment in the event of a flu pandemic. We focus on managing critical staff levels at organizations that must remain operational during such an event, and develop methodologies…

Optimization and Control · Mathematics 2015-07-31 Daniel Bienstock , A. Cecilia Zenteno

The COVID-19 pandemic has led to significant changes in how people are currently living their lives. To determine how to best reduce the effects of the pandemic and start reopening societies, governments have drawn insights from…

Other Quantitative Biology · Quantitative Biology 2020-09-08 Heather Z. Brooks , Unchitta Kanjanasaratool , Yacoub H. Kureh , Mason A. Porter

With significant population fractions in many societies who refuse vaccines, it is important to reconsider how vaccination is incorporated into compartmental epidemiology models. It is still most common to apply the vaccination rate to the…

Populations and Evolution · Quantitative Biology 2026-03-09 Glenn Ledder

This paper investigates the effects of vaccination on the dynamics of infectious disease, which is spreading in a population concurrently with awareness. The model considers contributions to the overall awareness from a global information…

Quantitative Methods · Quantitative Biology 2018-05-14 G. O. Agaba , Y. N. Kyrychko , K. B. Blyuss

As infectious disease outbreaks emerge, public health agencies often enact vaccination and social distancing measures to slow transmission. Their success depends on not only strategies and resources, but also public adherence. Individual…

Physics and Society · Physics 2018-08-20 José L. Herrera , Lauren Ancel Meyers

Surveillance data serving for epidemic alert systems are typically fully aggregated in space. However, epidemics may be spatially heterogeneous, undergoing distinct dynamics in distinct regions of the surveillance area. We unveil this in…

Populations and Evolution · Quantitative Biology 2018-03-30 Pavel Polyakov , Cécile Souty , Pierre-Yves Böelle , Romulus Breban

To make informative public policy decisions in battling the ongoing COVID-19 pandemic, it is important to know the disease prevalence in a population. There are two intertwined difficulties in estimating this prevalence based on testing…

Methodology · Statistics 2020-12-01 Bryan Cai , John P. A. Ioannidis , Eran Bendavid , Lu Tian

Assessing the consistency between short-term global temperature trends in observations and climate model projections is a challenging problem. While climate models capture many processes governing short-term climate fluctuations, they are…

Atmospheric and Oceanic Physics · Physics 2013-09-23 Patrick J. Michaels , Paul C. Knappenberger , John R. Christy , Chad S. Herman , Lucia M. Liljegren , James D. Annan

The current work deals with an epidemic model on the complete graph K_n on n vertices in a non-homogeneous setting, where the vertices may have distinct types. Different types differ in the probability of getting infected, and/or in the…

Probability · Mathematics 2022-05-10 Daniela Bertacchi , Jürgen Kampf , Ecaterina Sava-Huss , Fabio Zucca

During an epidemic outbreak of a new disease, the probability of dying once infected is considered an important though difficult task to be computed. Since it is very hard to know the true number of infected people, the focus is placed on…

Methodology · Statistics 2024-03-26 Agustín Alvarez , Marina Fragalá , Marina Valdora

This study incorporates mathematical analysis, focusing on developing theories and conducting numerical simulations of Influenza virus transmission using real-world data. The terms in the equations introduce parameters which are determined…

General Mathematics · Mathematics 2024-12-03 Md Kamrujjaman , Kazi Mehedi Mohammad

The spread of COVID-19 makes it essential to investigate its prevalence. In such investigation research, as far as we know, the widely-used sampling methods didn't use the information sufficiently about the numbers of the previously…

Applications · Statistics 2022-01-04 Ze Liu , Siyu Yi , Jianghu , Dong , Min-Qian Liu , Yongdao Zhou

This work is a trial in which we propose SIR model and machine learning tools to analyze the coronavirus pandemic in the real world. Based on the public data from \cite{datahub}, we estimate main key pandemic parameters and make predictions…

Populations and Evolution · Quantitative Biology 2020-04-06 Babacar Mbaye Ndiaye , Lena Tendeng , Diaraf Seck

The ongoing COVID-19 pandemic calls for a multi-faceted public health response comprising complementary interventions to control the spread of the disease while vaccines and therapies are developed. Many of these interventions need to be…

Applications · Statistics 2020-08-24 Andres Colubri , Kailash Yadav , Abhishek Jha , Pardis C. Sabeti

During the COVID-19 pandemic, it became evident that the effectiveness of applying intervention measures is significantly influenced by societal acceptance, which, in turn, is affected by the processes of opinion formation. This article…

Background: We estimate the overall quality of response to the Covid-19 pandemic in the first 18 months, using a small number of known parameters and a proposed method that is reasonably robust to the uncertainties in the data. Methods: The…

Physics and Society · Physics 2022-05-09 Thilakam Venkatapathi , Murugesan Venkatapathi

We study an epidemic model for a constant population by taking into account four compartments of the individuals characterizing their states of health. Each individual is in one of the compartments susceptible (S); incubated - infected yet…

Populations and Evolution · Quantitative Biology 2023-04-20 Teo Granger , Thomas M. Michelitsch , Michael Bestehorn , Alejandro P. Riascos , Bernard A. Collet

The SIR model is a three-compartment model of the time development of an epidemic. After normalizing the dependent variables, the model is a system of two non-linear differential equations for the susceptible proportion $S$ and the infected…

Dynamical Systems · Mathematics 2021-04-27 William G. Faris

When analysing in vitro data, growth kinetics of influenza strains are often compared by computing their growth rates, which are sometimes used as proxies for fitness. However, analogous to mechanistic epidemic models, the growth rate can…

Populations and Evolution · Quantitative Biology 2020-10-26 Ada W. C. Yan , Jie Zhou , Catherine A. A. Beauchemin , Colin A. Russell , Wendy S. Barclay , Steven Riley