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In this study, we propose a time-dependent Susceptible-Exposed-Infected-Recovered (SEIR) model for the analysis of the SARS-CoV-2 epidemic outbreak in three different countries, the United States of America, Italy and Iceland using public…

种群与进化 · 定量生物学 2021-11-08 P. Girardi , C. Gaetan

The surprisingly mercurial Covid-19 pandemic has highlighted the need to not only accelerate research on infectious disease, but to also study them using novel techniques and perspectives. A major contributor to the difficulty of containing…

种群与进化 · 定量生物学 2022-07-21 Aminur Rahman , Angela Peace , Ramesh Kesawan , Souparno Ghosh

Accurate forecasts of the number of newly infected people during an epidemic are critical for making effective timely decisions. This paper addresses this challenge using the SIMLR model, which incorporates machine learning (ML) into the…

机器学习 · 计算机科学 2021-06-04 Roberto Vega , Leonardo Flores , Russell Greiner

In a metapopulation network, infectious diseases spread widely because of the travel of individuals. In the present study, we consider a modified metapopulation Susceptible-Infected-Removed (SIR) model with a latent period, which we call…

物理与社会 · 物理学 2017-08-02 Kazue Kudo , Kanako Mizuno

The simplest epidemiologic model composed by mutually exclusive compartments SIR (susceptible-infected-susceptible) is presented to describe a reality. From health concerns to situations related with marketing, informatics or even…

物理与社会 · 物理学 2016-11-09 Helena Sofia Rodrigues

Infectious diseases that incorporate pre-symptomatic transmission are challenging to monitor, model, predict and contain. We address this scenario by studying a variant of a stochastic susceptible-exposed-infected-recovered model on…

物理与社会 · 物理学 2021-05-07 Bo Li , David Saad

Infection spread among individuals is modelled with a continuous time Markov chain, in which subject interactions depend on their distance in space. The well known SIR model and non local variants of the latter are then obtained as large…

概率论 · 数学 2023-09-27 Franco Flandoli , Francesco Grotto , Andrea Papini , Cristiano Ricci

Contemporary epidemiological models often involve spatial variation, providing an avenue to investigate the averaged dynamics of individual movements. In this work, we extend a recent model by Vaziry, Kolokolnikov, and Kevrekidis [Royal…

种群与进化 · 定量生物学 2024-10-01 Maryam Ahmadpoortorkamani , Alexei Cheviakov

In this study, we present an integro-differential model to simulate the local spread of infections. The model incorporates a standard susceptible-infected-recovered (\textit{SIR}-) model enhanced by an integral kernel, allowing for…

动力系统 · 数学 2023-07-20 Moritz Schäfer , Karol Niedzielewski , Thomas Götz , Tyll Krüger

We propose a network behavioral-feedback Susceptible-Infected-Recovered (SIR) epidemic model in which the interaction matrix describing the infection rates across subpopulations depends in feedback on the current epidemic state. This model…

动力系统 · 数学 2025-07-08 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani

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…

物理与社会 · 物理学 2023-01-02 Alex Arenas , Antonio Garijo , Sergio Gómez , Jordi Villadelprat

Contagious processes, such as spread of infectious diseases, social behaviors, or computer viruses, affect biological, social, and technological systems. Epidemic models for large populations and finite populations on networks have been…

最优化与控制 · 数学 2020-04-14 Renato Pagliara , Naomi E. Leonard

The last decade saw the advent of increasingly realistic epidemic models that leverage on the availability of highly detailed census and human mobility data. Data-driven models aim at a granularity down to the level of households or single…

种群与进化 · 定量生物学 2011-08-10 Nicola Perra , Duygu Balcan , Bruno Gonçalves , Alessandro Vespignani

Epidemic modeling is an essential tool to understand the spread of the novel coronavirus and ultimately assist in disease prevention, policymaking, and resource allocation. In this article, we establish a state of the art interface between…

应用统计 · 统计学 2020-12-17 Li Wang , Guannan Wang , Lei Gao , Xinyi Li , Shan Yu , Myungjin Kim , Yueying Wang , Zhiling Gu

Mathematical models of infectious diseases exhibit robust dynamics such as stable endemic or a disease-free equilibrium, or convergence of the solutions to periodic epidemic waves. The present work shows that the accuracy of such dynamics…

应用统计 · 统计学 2022-05-04 Hadeel AlQadi , Majid Bani-Yaghoub

The main focus of this chapter is on public health control strategies which are currently the main way to mitigate COVID-19 pandemic. We introduce and compare compartmental models of increasing complexity for COVID-19 transmission to…

种群与进化 · 定量生物学 2020-12-14 Redouane Qesmi , Aayah Hammoumi

This paper seeks to study the evolution of the COVID-19 pandemic based on daily published data from Worldometer website, using a time-dependent SIR model. Our findings indicate that this model fits well such data, for different chosen…

种群与进化 · 定量生物学 2023-11-28 Rawan H. Madi , Sophie M. Moufawad , Nabil R. Nassif

Epidemics are often modelled using non-linear dynamical systems observed through partial and noisy data. In this paper, we consider stochastic extensions in order to capture unknown influences (changing behaviors, public interventions,…

应用统计 · 统计学 2012-11-06 Joseph Dureau , Konstantinos Kalogeropoulos , Marc Baguelin

Epidemics are inherently stochastic, and stochastic models provide an appropriate way to describe and analyse such phenomena. Given temporal incidence data consisting of, for example, the number of new infections or removals in a given time…

统计方法学 · 统计学 2024-05-24 Sam A. Whitaker , Andrew Golightly , Colin S. Gillespie , Theodore Kypraios

The effect of spatial correlations on the spread of infectious diseases was investigated using a stochastic SIR (Susceptible-Infective-Recovered) model on complex networks. It was found that in addition to the reduction of the effective…

种群与进化 · 定量生物学 2007-05-23 J. Verdasca , M. M. Telo da Gama , A. Nunes , N. R. Bernardino , J. M. Pacheco , M. C. Gomes