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Understanding individual decisions in a world where communications and information move instantly via cell phones and the internet, contributes to the development and implementation of policies aimed at stopping or ameliorating the spread…

Physics and Society · Physics 2020-03-31 Asma Azizi , Cesar Montalvo , Baltazar Espinoza , Yun Kang , Carlos Castillo-Chavez

We show that the recently introduced logarithmic metrics used to predict disease arrival times on complex networks are approximations of more general network-based measures derived from random walks theory. Using the daily air-traffic…

Physics and Society · Physics 2017-01-18 Flavio Iannelli , Andreas Koher , Dirk Brockmann , Philipp Hoevel , Igor M. Sokolov

In this paper, we consider epidemiological networks which are used for modeling the transmission of contagious diseases through a population. Specifically, we study the so-called social sensors problem: given an epidemiological network, can…

Social and Information Networks · Computer Science 2021-12-30 Shubhajit Sen , Samhita Pal , Srijan Sengupta

Stochastic processes can model many emerging phenomena on networks, like the spread of computer viruses, rumors, or infectious diseases. Understanding the dynamics of such stochastic spreading processes is therefore of fundamental interest.…

Social and Information Networks · Computer Science 2019-01-07 Gerrit Großmann , Verena Wolf

Human mobility is a key component of large-scale spatial-transmission models of infectious diseases. Correctly modeling and quantifying human mobility is critical for improving epidemic control policies, but may be hindered by incomplete…

Infectious pathogens often propagate by superspreading, which focusses onward transmission on disproportionately few infected individuals. At the same time, infector-infectee pairs tend to have more similar transmission potentials than…

Populations and Evolution · Quantitative Biology 2025-09-22 Noah Silva de Leonardi , Benjamin D. Dalziel

We investigate the time evolution of disease spread on a network by using the concept of generations. We derive a set of equations, which can be used to determine the average epidemic size. We find a very good agreement between the…

Statistical Mechanics · Physics 2010-05-24 B. Davoudi , F. Brauer , B. Pourbohloul

Snowball designs are the most natural of the network sampling designs. They have many desirable properties for sampling hidden and hard-to reach populations. They have been under-used in recent years because simple design-based estimators…

Methodology · Statistics 2020-09-11 Steve Thompson

Partially-observed data collected by sampling methods is often being studied to obtain the characteristics of information diffusion networks. However, these methods usually do not consider the behavior of diffusion process. In this paper,…

Social and Information Networks · Computer Science 2014-05-30 Motahareh Eslami Mehdiabadi , Hamid R. Rabiee , Mostafa Salehi

Disease spread in most biological populations requires the proximity of agents. In populations where the individuals have spatial mobility, the contact graph is generated by the "collision dynamics" of the agents, and thus the evolution of…

Physics and Society · Physics 2007-06-07 Z. Toroczkai , H. Guclu

Under limited available resources, strategies for mitigating the propagation of an epidemic such as random testing and contact tracing become inefficient. Here, we propose to accurately allocate the resources by computing over time an…

Physics and Society · Physics 2023-11-07 Gabriela Bayolo Soler , Miraine Dávila Felipe , Ghislaine Gayraud

During the ongoing COVID-19 pandemic, mathematical models of epidemic spreading have emerged as powerful tools to produce valuable predictions of the evolution of the pandemic, helping public health authorities decide which intervention…

Dynamical Systems · Mathematics 2021-11-18 Lorenzo Zino , Ming Cao

We study spreading on networks where the contact dynamics between the nodes is governed by a random process and where the inter-contact time distribution may differ from the exponential. We consider a process of imperfect spreading, where…

Physics and Society · Physics 2016-07-07 Martin Gueuning , Jean-Charles Delvenne , Renaud Lambiotte

We consider the problem of detecting an epidemic in a population where individual diagnoses are extremely noisy. The motivation for this problem is the plethora of examples (influenza strains in humans, or computer viruses in smartphones,…

Social and Information Networks · Computer Science 2014-02-07 Eli A. Meirom , Chris Milling , Constantine Caramanis , Shie Mannor , Ariel Orda , Sanjay Shakkottai

Contact tracing is one of the most important control measures deployed during epidemics. Relying on the identification of contacts of known infected individuals, it necessitates a network perspective. Although pairwise models have been used…

Physics and Society · Physics 2026-03-05 Giulia de Meijere , Andrea Pugliese , Gerardo Iñiguez , Péter L. Simon , István Z. Kiss

The spread of viruses in biological networks, computer networks, and human contact networks can have devastating effects; developing and analyzing mathematical models of these systems can be insightful and lead to societal benefits. Prior…

Optimization and Control · Mathematics 2016-09-19 Philip E. Paré , Angelia Nedić , Carolyn L. Beck

Comparing with single networks, the multiplex networks bring two main effects on the spreading process among individuals. First, the pathogen or information can be transmitted to more individuals through different layers at one time, which…

Physics and Society · Physics 2017-11-29 Ming Li , Run-Ran Liu , Dan Peng , Chun-Xiao Jia , Bing-Hong Wang

We study contact epidemic models for the spread of infective diseases in finite populations. The size dependence enters in the infection rate. The dynamics of such models is then analyzed within the deterministic approximation, as well as…

Populations and Evolution · Quantitative Biology 2020-04-07 Ph. Blanchard , S. Nicolis

The accurate estimation of time-varying transmission rates is fundamental for understanding infectious disease dynamics and implementing effective public health interventions. To this end, we propose an improved inverse method for…

Populations and Evolution · Quantitative Biology 2025-12-17 Shuanglin Jing , Yuting Huang , Hai-Feng Huo

Any network studied in the literature is inevitably just a sampled representative of its real-world analogue. Additionally, network sampling is lately often applied to large networks to allow for their faster and more efficient analysis.…

Social and Information Networks · Computer Science 2015-04-14 Neli Blagus , Lovro Šubelj , Gregor Weiss , Marko Bajec