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Mathematical modeling of epidemic spreading has been widely adopted to estimate the threats of epidemic diseases (i.e., the COVID-19 pandemic) as well as to evaluate epidemic control interventions. The indoor place is considered to be a…

Physics and Society · Physics 2022-09-14 Yao Xiao , Mofeng Yang , Zheng Zhu , Hai Yang , Lei Zhang , Sepehr Ghader

The spread of the coronavirus (COVID-19), starting in late 2019, has determined in Italy several interventions aimed to prevent saturation of the health system. We have examined the effects of such measures by proposing a mean-field model…

Physics and Society · Physics 2020-11-18 Corrado Spinella , Antonio Massimiliano Mio

The widespread, and in many countries unprecedented, use of non-pharmaceutical interventions (NPIs) during the COVID-19 pandemic has highlighted the need for mathematical models which can estimate the impact of these measures while…

Viral signal in wastewater offers a promising opportunity to assess and predict the burden of infectious diseases. That has driven the widespread adoption and development of wastewater monitoring tools by public health organizations. Recent…

Methodology · Statistics 2024-10-11 K. Ken Peng , Charmaine B. Dean , Robert Delatolla , X. Joan Hu

Predicting the endemic/epidemic transition during the temporal evolution of a contagious disease. Methods: Defining indicators for detecting the transition endemic/epidemic, with four scalars to be compared, calculated from the daily…

Analysis of PDEs · Mathematics 2023-10-02 Jacques Demongeot , Pierre Magal , Kayode Oshnubi

Non-pharmaceutical interventions (NPIs) have been crucial in curbing COVID-19 in the United States (US). Consequently, relaxing NPIs through a phased re-opening of the US amid still-high levels of COVID-19 susceptibility could lead to new…

We propose a framework for Bayesian non-parametric estimation of the rate at which new infections occur assuming that the epidemic is partially observed. The developed methodology relies on modelling the rate at which new infections occur…

Methodology · Statistics 2014-12-16 Edward S. Knock , Theodore Kypraios

Why are the epidemic patterns of COVID-19 so different among different cities or countries which are similar in their populations, medical infrastructures, and people's behavior? Why are forecasts or predictions made by so-called experts…

Populations and Evolution · Quantitative Biology 2020-06-03 Hisashi Kobayashi

The emergence and spread of deadly pandemics has repeatedly occurred throughout history, causing widespread infections and loss of life. The rapid spread of pandemics have made governments across the world adopt a range of actions,…

Populations and Evolution · Quantitative Biology 2024-01-15 Marianna Karapitta , Andreas Kasis , Charithea Stylianides , Kleanthis Malialis , Panayiotis Kolios

We extend the classical SIR model of infectious disease spread to account for time dependence in the parameters, which also include diffusivities. The temporal dependence accounts for the changing characteristics of testing, quarantine and…

Populations and Evolution · Quantitative Biology 2020-07-03 Zhenlin Wang , Xiaoxuan Zhang , Gregory Teichert , Mariana Carrasco-Teja , Krishna Garikipati

A central feature of an emerging infectious disease in a pandemic scenario is the spread through geographical scales and the impacts on different locations according to the adopted mitigation protocols. We investigated a stochastic epidemic…

Physics and Society · Physics 2021-01-13 Guilherme S. Costa , Wesley Cota , Silvio C. Ferreira

In Part 1, we introduced a stochastic model of an infectious disease, based on the BDI (birth and death with immigration) process. We showed that random processes defined by this model can capture the essence of the stochastic, often…

Populations and Evolution · Quantitative Biology 2021-01-28 Hisashi Kobayashi

The estimate of the remaining time of an ongoing wave of epidemic spreading is a critical issue. Due to the variations of a wide range of parameters in an epidemic, for simple models such as Susceptible-Infected-Removed (SIR) model, it is…

Populations and Evolution · Quantitative Biology 2021-10-12 Anvesh Reddy , Hanesh Koganti , Sai Krishna , Suhas Reddy , Soumyajyoti Biswas

Epidemic parameters are estimated through Bayesian inference using the daily fatality counts in Mumbai during the period from March 31 to April 14. A doubling time of 5.5 days (median with 95% CrI of 4.6-6.9 days) is observed. In the SEIR…

Populations and Evolution · Quantitative Biology 2020-04-27 Sourendu Gupta

Algorithms for identifying the infection states of nodes in a network are crucial for understanding and containing infections. Often, however, only a relatively small set of nodes have a known infection state. Moreover, the length of time…

Social and Information Networks · Computer Science 2014-02-04 Yeon-sup Lim , Bruno Ribeiro , Don Towsley

In this paper, a susceptible-infected-removed (SIR) model has been used to track the evolution of the spread of the COVID-19 virus in four countries of interest. In particular, the epidemic model, that depends on some basic characteristics,…

Populations and Evolution · Quantitative Biology 2020-10-28 Ian Cooper , Argha Mondal , Chris G. Antonopoulos

An epidemiological model for COVID-19 was developed and implemented in MATLAB/GNU Octave for use by public health practitioners, policy makers and the general public. The model distinguishes four stages in the disease: infected, sick,…

Populations and Evolution · Quantitative Biology 2020-03-24 Alex De Visscher

In this paper, we use a Bayesian method to estimate the effective reproduction number (R(t)), in the context of monitoring the time evolution of the COVID-19 pandemic in Brazil at different geographic levels. The focus of this study is to…

Applications · Statistics 2023-06-05 Edson Porto da Silva , Antônio Marcus Nogueira Lima

While COVID-19 is rapidly propagating around the globe, the need for providing real-time forecasts of the epidemics pushes fits of dynamical and statistical models to available data beyond their capabilities. Here we focus on statistical…

Populations and Evolution · Quantitative Biology 2020-06-08 Tommaso Alberti , Davide Faranda

The dynamics of many epidemic compartmental models for infectious diseases that spread in a single host population present a second-order phase transition. This transition occurs as a function of the infectivity parameter, from the absence…

Physics and Society · Physics 2023-01-02 Alex Arenas , Antonio Garijo , Sergio Gómez , Jordi Villadelprat
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