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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…

Machine Learning · Computer Science 2022-12-07 Danfeng Guo , Zijie Huang , Junheng Hao , Yizhou Sun , Wei Wang , Demetri Terzopoulos

Infectious disease models can be of great use for understanding the underlying mechanisms that influence the spread of diseases and predicting future disease progression. Modeling has been increasingly used to evaluate the potential impact…

Applications · Statistics 2019-08-20 Md Mahsin , Rob Deardon , Patrick Brown

The general epidemic process (GEP), also known as susceptible-infected-recovered model (SIR), describes how an epidemic spreads within a population of susceptible individuals who acquire permanent immunization upon recovery. This model…

Here we propose and implement a generalized mathematical model to find the time evolution of population in infectious diseases and apply the model to study the recent COVID-19 pandemic. Our model at the core is a non-local generalization of…

Populations and Evolution · Quantitative Biology 2020-05-01 Saumyak Mukherjee , Sayantan Mondal , Biman Bagchi

Since the beginning of the epidemic, daily reports of CoViD-19 cases, hospitalizations, and deaths from around the world have been publicly available. This paper describes methods to characterize broad features of the spread of the disease,…

Physics and Society · Physics 2020-07-15 Dean Karlen

We study a coupled epidemic-mobility model in which, at each time, individuals move in a network of spatially-distributed regions (sub-populations) according to a Continuous Time Markov Chain (CTMC) and subsequently interact with the local…

Systems and Control · Electrical Eng. & Systems 2019-09-30 Vishal Abhishek , Vaibhav Srivastava

When considering airborne epidemic spreading in social systems, a natural connection arises between mobility and epidemic contacts. As individuals travel, possibilities to encounter new people either at the final destination or during the…

Physics and Society · Physics 2024-05-10 Jesús A. Moreno López , Sandro Meloni , Jose J. Ramasco

Predicting human displacements is crucial for addressing various societal challenges, including urban design, traffic congestion, epidemic management, and migration dynamics. While predictive models like deep learning and Markov models…

Computers and Society · Computer Science 2024-08-07 Sebastiano Bontorin , Simone Centellegher , Riccardo Gallotti , Luca Pappalardo , Bruno Lepri , Massimiliano Luca

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…

Populations and Evolution · Quantitative Biology 2010-06-02 Teruhiko Yoneyama , Mukkai S. Krishnamoorthy

In this note we analyze the temporal dynamics of the coronavirus disease 2019 outbreak in China, Italy and France in the time window $22/01-09/03/2020$. A first analysis of simple day-lag maps points to some universality in the epidemic…

Populations and Evolution · Quantitative Biology 2020-04-22 Duccio Fanelli , Francesco Piazza

Modeling epidemic dynamics plays an important role in studying how diseases spread, predicting their future course, and designing strategies to control them. In this letter, we introduce a model of SIR (susceptible-infected-removed) type…

Populations and Evolution · Quantitative Biology 2013-12-17 Li Chen , Fakhteh Ghanbarnejad , Weiran Cai , Peter Grassberger

The SARS-CoV-2 infectious outbreak has rapidly spread across the globe and precipitated varying policies to effectuate physical distancing to ameliorate its impact. In this study, we propose a new hybrid machine learning model, SIRNet, for…

Populations and Evolution · Quantitative Biology 2020-04-23 Nicholas Soures , David Chambers , Zachariah Carmichael , Anurag Daram , Dimpy P. Shah , Kal Clark , Lloyd Potter , Dhireesha Kudithipudi

In this paper we explore a time-depended SEIR model, in which the dynamics of the infection in four groups from a selected target group (population), divided according to the infection, are modeled by a system of nonlinear ordinary…

Populations and Evolution · Quantitative Biology 2021-03-31 Svetozar Margenov , Nedyu Popivanov , Iva Ugrinova , Stanislav Harizanov , Tsvetan Hristov

The constrained outbreak of COVID-19 in Mainland China has recently been regarded as a successful example of fighting this highly contagious virus. Both the short period (in about three months) of transmission and the sub-exponential…

Physics and Society · Physics 2022-03-22 Jizhou Huang , Haifeng Wang , Miao Fan , An Zhuo , Yibo Sun , Ying Li

The duration of the infectious period is a crucial determinant of the ability of an infectious disease to spread. We consider an epidemic model that is network based and non-Markovian, containing classic Kermack-McKendrick, pairwise,…

Populations and Evolution · Quantitative Biology 2018-05-25 Robert R. Wilkinson , Kieran J. Sharkey

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…

Populations and Evolution · Quantitative Biology 2007-05-23 J. Verdasca , M. M. Telo da Gama , A. Nunes , N. R. Bernardino , J. M. Pacheco , M. C. Gomes

Recently the A/H1N1-2009 virus pandemic appeared in Mexico and in other nations. We present a study of this pandemic in the Mexican case using the SIR model to describe epidemics. This model is one of the simplest models but it has been a…

Biological Physics · Physics 2012-10-26 Mario A. Rodriguez-Meza

Traditional disease transmission models assume that the infectious period is exponentially distributed with a recovery rate fixed in time and across individuals. This assumption provides analytical and computational advantages, however it…

Populations and Evolution · Quantitative Biology 2024-01-30 Laura Di Domenico , Eugenio Valdano , Vittoria Colizza

The COVID-19 pandemic reshaped human mobility through policy interventions and voluntary behavioral changes. Mobility adaptions helped mitigate pandemic spread, however our knowledge which environmental, social, and demographic factors…

Applications · Statistics 2025-10-30 Sydney Paltra , Jonas Dehning , Viola Priesemann , Kai Nagel

Understanding influencing factors is essential for the surveillance and prevention of infectious diseases, and the factors are likely to vary spatially and temporally as the disease progresses. Taking daily cases and deaths data during the…

Physics and Society · Physics 2021-04-28 Lu Ling , Xinwu Qian , Satish V. Ukkusuri , Shuocheng Guo