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The dramatic outbreak of the coronavirus disease 2019 (COVID-19) pandemics and its ongoing progression boosted the scientific community's interest in epidemic modeling and forecasting. The SIR (Susceptible-Infected-Removed) model is a…

种群与进化 · 定量生物学 2021-02-24 Dimiter Prodanov

Disease spreading through human travel networks has been a topic of great interest in recent years, as witnessed during outbreaks of influenza A (H1N1) or SARS pandemics. One way to stop spreading over the airline network are travel…

物理与社会 · 物理学 2012-05-16 Jose Marcelino , Marcus Kaiser

In this paper we present the discrete-time networked SIR and SEIR models and present assumptions under which they are well defined. We analyze the limiting behavior of the models and present necessary and sufficient conditions for…

最优化与控制 · 数学 2020-11-25 Damir Vrabac , Raphael Stern , Philip E. Paré

The global pandemic of the 2019-nCov requires the evaluation of policy interventions to mitigate future social and economic costs of quarantine measures worldwide. We propose an epidemiological model for forecasting and policy evaluation…

应用统计 · 统计学 2020-10-30 Philip Nadler , Shuo Wang , Rossella Arcucci , Xian Yang , Yike Guo

The metapopulation network model is effectively used to study the spatial spread of epidemics with individuals mobility. Considering the time-varying nature of individual activity and the preferences for attractive destinations in…

物理与社会 · 物理学 2023-11-27 Lang Zeng , Ming Tang , Ying Liu , Seung Yeop Yang , Younghae Do

Contact patterns in populations fundamentally influence the spread of infectious diseases. Current mathematical methods for epidemiological forecasting on networks largely assume that contacts between individuals are fixed, at least for the…

种群与进化 · 定量生物学 2007-05-23 Erik Volz , Lauren Ancel Meyers

This work is concerned with epidemiological models defined on networks, which highlight the prominent role of the social contact network of a given population in the spread of infectious diseases. In particular, we address the modelling and…

数值分析 · 数学 2023-03-07 Giovanni Naldi , Giuseppe Patane'

Stochastic epidemic models which incorporate interactions between space and human mobility are a key tool to inform prioritisation of outbreak control to appropriate locations. However, methods for fitting such models to national-level…

As the COVID-19 pandemic evolves, reliable prediction plays an important role for policy making. The classical infectious disease model SEIR (susceptible-exposed-infectious-recovered) is a compact yet simplistic temporal model. The…

机器学习 · 计算机科学 2020-10-20 Yunling Zheng , Zhijian Li , Jack Xin , Guofa Zhou

This paper extends the canonical model of epidemiology, the SIRD model, to allow for time-varying parameters for real-time measurement and prediction of the trajectory of the Covid-19 pandemic. Time variation in model parameters is captured…

计量经济学 · 经济学 2023-02-01 Cem Cakmakli , Yasin Simsek

We study the dynamic evolution of COVID-19 cased by the Omicron variant via a fractional susceptible-exposedinfected-removed (SEIR) model. Preliminary data suggest that the symptoms of Omicron infection are not prominent and the…

数值分析 · 数学 2022-07-21 Min Cai , George Em Karniadakis , Changpin Li

We propose an epidemiological model using an adaptive dynamic three compartment (with four states) SIR(D) model. Our approach is similar to non-parametric curve fitting in spirit and automatically adapts to key external factors, such as…

应用统计 · 统计学 2020-09-14 Madhuchhanda Bhattacharjee , Arup Bose

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…

种群与进化 · 定量生物学 2020-06-08 Marcos A. Capistran , Antonio Capella , J. Andres Christen

In this paper, we present a method to forecast the spread of SARS-CoV-2 across regions with a focus on the role of mobility. Mobility has previously been shown to play a significant role in the spread of the virus, particularly between…

The dynamics of epidemics depend on how people's behavior changes during an outbreak. At the beginning of the epidemic, people do not know about the virus, then, after the outbreak of epidemics and alarm, they begin to comply with the…

物理与社会 · 物理学 2021-11-29 I. A. Kastalskiy , E. V. Pankratova , E. M. Mirkes , V. B. Kazantsev , A. N. Gorban

Pandemic(epidemic) modeling, aiming at disease spreading analysis, has always been a popular research topic especially following the outbreak of COVID-19 in 2019. Some representative models including SIR-based deep learning prediction…

机器学习 · 计算机科学 2022-12-07 Danfeng Guo , Zijie Huang , Junheng Hao , Yizhou Sun , Wei Wang , Demetri Terzopoulos

COVID-19 has shown a relatively low mortality rate in young healthy individuals, with the majority of this group being asymptomatic or having mild symptoms, while the severity of the disease among individuals with underlying health…

物理与社会 · 物理学 2020-06-22 Dario Ortega Anderez , Eiman Kanjo , Ganna Pogrebna , Shane Johnson , John Alan Hunt

We study the dynamics of a spatially structured model of worldwide epidemics and formulate predictions for arrival times of the disease at any city in the network. The model is comprised of a system of ordinary differential equations…

斑图形成与孤子 · 物理学 2018-02-14 Lawrence M. Chen , Matt Holzer , Anne Shapiro

Imported COVID-19 cases, if unchecked, can jeopardize the effort of domestic containment. We aim to find out what sustainable border control options for different entities (e.g., countries, states) exist during the reopening phases, given…

种群与进化 · 定量生物学 2021-02-05 Zhen Zhu , Enzo Weber , Till Strohsal , Duaa Serhan

Pandemics have the potential to cause immense disruption and damage to communities and societies. In this paper, we propose a hybrid model to determine how the pandemic spread through the world. The model combines the SEIR-based model for…

种群与进化 · 定量生物学 2010-06-02 Teruhiko Yoneyama , Mukkai S. Krishnamoorthy