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Related papers: Travel Cadence and Epidemic Spread

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Different countries -- and sometimes different regions within the same countries -- have adopted different strategies in trying to contain the ongoing COVID-19 epidemic; these mix in variable parts social confinement, early detection and…

Populations and Evolution · Quantitative Biology 2020-07-17 Giuseppe Gaeta

Epidemics like Covid-19 and Ebola have impacted people's lives significantly. The impact of mobility of people across the countries or states in the spread of epidemics has been significant. The spread of disease due to factors local to the…

Populations and Evolution · Quantitative Biology 2022-05-04 Nirmal Kumar Sivaraman , Manas Gaur , Shivansh Baijal , Sakthi Balan Muthiah , Amit Sheth

This paper is concerned with a stochastic model for the spread of an SEIR (susceptible -> exposed (=latent) -> infective -> removed) epidemic with a contact tracing scheme, in which removed individuals may name some of their infectious…

Probability · Mathematics 2015-12-08 Frank G Ball , Edward S Knock , Philip D O'Neill

We study dynamics of spread of epidemics of SIR type in a realistic spatially-explicit geographical region, Southern and Central Ontario, using census data obtained from Statistics Canada, and examine the role of population mixing in…

Cellular Automata and Lattice Gases · Physics 2009-11-11 Henryk Fuks' , Anna T. Lawniczak , Ryan Duchesne

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

Human mobility forms the backbone of contact patterns through which infectious diseases propagate, fundamentally shaping the spatio-temporal dynamics of epidemics and pandemics. While traditional models are often based on the assumption…

In this work we propose a novel space-dependent multiscale model for the spread of infectious diseases in a two-dimensional spatial context on realistic geographical scenarios. The model couples a system of kinetic transport equations…

Numerical Analysis · Mathematics 2020-12-21 Walter Boscheri , Giacomo Dimarco , Lorenzo Pareschi

It has long been known that epidemics can travel along communication lines, such as roads. In the current COVID-19 epidemic, it has been observed that major roads have enhanced its propagation in Italy. We propose a new simple model of…

Analysis of PDEs · Mathematics 2020-11-16 Henri Berestycki , Jean-Michel Roquejoffre , Luca Rossi

Time-varying network topologies can deeply influence dynamical processes mediated by them. Memory effects in the pattern of interactions among individuals are also known to affect how diffusive and spreading phenomena take place. In this…

In contrast to the common assumption in epidemic models that the rate of infection between individuals is constant, in reality, an individual's viral load determines their infectiousness. We compare the average and individual reproductive…

Populations and Evolution · Quantitative Biology 2021-12-07 Nicholas Landry

We investigate a model for spatial epidemics explicitly taking into account bi-directional movements between base and destination locations on individual mobility networks. We provide a systematic analysis of generic dynamical features of…

Physics and Society · Physics 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

The importance of modeling the spread of epidemics through a population has led to the development of mathematical models for infectious disease propagation. A number of empirical studies have collected and analyzed data on contacts between…

Social and Information Networks · Computer Science 2017-07-28 Rehan Ahmad , Kevin S. Xu

The study of human mobility patterns is a crucially important research field for its impact on several socio-economic aspects and, in particular, the measure of regularity patters of human mobility can provide a across-the-board view of…

Physics and Society · Physics 2021-04-20 Fabio Vanni , David Lambert

Among the realistic ingredients to be considered in the computational modeling of infectious diseases, human mobility represents a crucial challenge both on the theoretical side and in view of the limited availability of empirical data. In…

Physics and Society · Physics 2010-02-04 Duygu Balcan , Vittoria Colizza , Bruno Goncalves , Hao Hu , Jose J. Ramasco , Alessandro Vespignani

In this survey we report some recent results in the mathematical modeling of epidemic phenomena through the use of kinetic equations. We initially consider models of interaction between agents in which social characteristics play a key role…

Populations and Evolution · Quantitative Biology 2023-09-11 Giacomo Albi , Giulia Bertaglia , Walter Boscheri , Giacomo Dimarco , Lorenzo Pareschi , Giuseppe Toscani , Mattia Zanella

We consider a model for an epidemic in a population that occupies geographically distinct locations. The disease is spread within subpopulations by contacts between infective and susceptible individuals, and is spread between subpopulations…

Probability · Mathematics 2016-02-15 R. McVinish , P. K. Pollett , A. Shausan

We investigate the role of migration patterns on the spread of epidemics in complex networks. We enhance the SIS-diffusion model on metapopulations to a nonlinear diffusion. Specifically, individuals move randomly over the network but at a…

Populations and Evolution · Quantitative Biology 2026-04-16 Jordi Ripoll , Albert Avinyó , Marta Pellicer , Joan Saldaña

As the world grows increasingly connected, infectious disease transmission and outbreaks have become a pressing global concern for public health officials and policymakers. While policy interventions to contain and prevent the spread of…

Probability · Mathematics 2026-05-07 Christian Borgs , Karissa Huang , Geng Zhao

Since the beginning of the COVID-19 spreading, the number of studies on the epidemic models increased dramatically. It is important for policymakers to know how the disease will spread and what are the effects of the policies and…

Physics and Society · Physics 2022-01-06 Hao Liao , Ziqiang Wu , Alexandre Vidmer , Mingyang Zhou , Wei Chen

The impact that information diffusion has on epidemic spreading has recently attracted much attention. As a disease begins to spread in the population, information about the disease is transmitted to others, which in turn has an effect on…

Physics and Society · Physics 2015-06-15 Xiu-Xiu Zhan , Chuang Liu , Ge Zhou , Zi-Ke Zhang , Gui-Quan Sun , Jonathan J. H. Zhu