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The spread of COVID-19 makes it essential to investigate its prevalence. In such investigation research, as far as we know, the widely-used sampling methods didn't use the information sufficiently about the numbers of the previously…

Applications · Statistics 2022-01-04 Ze Liu , Siyu Yi , Jianghu , Dong , Min-Qian Liu , Yongdao Zhou

One of the cornerstones in combating the HIV pandemic is being able to assess the current state and evolution of local HIV epidemics. This remains a complex problem, as many HIV infected individuals remain unaware of their infection status,…

Populations and Evolution · Quantitative Biology 2019-10-24 Pieter Libin , Nassim Versbraegen , Ana B. Abecasis , Perpetua Gomes , Tom Lenaerts , Ann Nowé

Inferring how an epidemic will progress and what actions to take when presented with limited information is of critical importance for epidemiologists and health professionals. In real world settings, epidemiology data can be scarce or…

Computation · Statistics 2022-11-02 Georgios Efstathiadis

A common approach to synthetic data is to sample from a fitted model. We show that under general assumptions, this approach results in a sample with inefficient estimators and whose joint distribution is inconsistent with the true…

Statistics Theory · Mathematics 2026-02-18 Jordan Awan , Zhanrui Cai

We analyze a minimal model of a growing network. At each time step, a new vertex is added; then, with probability delta, two vertices are chosen uniformly at random and joined by an undirected edge. This process is repeated for t time…

Statistical Mechanics · Physics 2009-11-07 Duncan S. Callaway , John E. Hopcroft , Jon M. Kleinberg , M. E. J. Newman , Steven H. Strogatz

We study the problem of containing epidemic spreading processes in temporal networks. We specifically focus on the problem of finding a resource allocation to suppress epidemic infection, provided that an empirical time-series data of…

Social and Information Networks · Computer Science 2019-04-16 Masaki Ogura , Junichi Harada

In this study, we address three important challenges related to disease transmissions such as the COVID-19 pandemic, namely, (a) providing an early warning to likely exposed individuals, (b) identifying individuals who are asymptomatic, and…

Populations and Evolution · Quantitative Biology 2021-09-13 Shashanka Ubaru , Lior Horesh , Guy Cohen

Random walkers absorbing on a boundary sample the Harmonic Measure linearly and independently: we discuss how the recurrence times between impacts enable non-linear moments of the measure to be estimated. From this we derive a new technique…

Statistical Mechanics · Physics 2007-05-23 Ellak Somfai , Nicholas R. Goold , Robin C. Ball , Jason P. DeVita , Leonard M. Sander

We study spreading processes in temporal graphs, i. e., graphs whose connections change over time. These processes naturally model real-world phenomena such as infectious diseases or information flows. More precisely, we investigate how…

Data Structures and Algorithms · Computer Science 2021-07-21 Hendrik Molter , Malte Renken , Philipp Zschoche

Working in the multi-type Galton-Watson branching-process framework we analyse the spread of a pandemic via a general multi-type random contact graph. Our model consists of several communities, and takes, as input, parameters that outline…

Statistical Mechanics · Physics 2023-06-14 Dor Minzer , Yaron Oz , Muli Safra , Lior Wainstain

We analyze the dynamics of a population of independent random walkers on a graph and develop a simple model of epidemic spreading. We assume that each walker visits independently the nodes of a finite ergodic graph in a discrete-time…

Physics and Society · Physics 2021-01-19 Michael Bestehorn , Alejandro P. Riascos , Thomas M. Michelitsch , Bernard A. Collet

Graphlets are induced subgraph patterns and have been frequently applied to characterize the local topology structures of graphs across various domains, e.g., online social networks (OSNs) and biological networks. Discovering and computing…

Social and Information Networks · Computer Science 2016-10-19 Xiaowei Chen , Yongkun Li , Pinghui Wang , John C. S. Lui

We introduce and simulate a growth model of the world-wide Web based on the dynamics of outgoing links that is motivated by the conduct of the agents in the real Web to update outgoing links (re)directing them towards constantly changing…

Statistical Mechanics · Physics 2009-10-31 Bosiljka Tadic

Infectious diseases remain among the top contributors to human illness and death worldwide, among which many diseases produce epidemic waves of infection. The unavailability of specific drugs and ready-to-use vaccines to prevent most of…

Machine Learning · Computer Science 2023-07-18 Madhurima Panja , Tanujit Chakraborty , Uttam Kumar , Nan Liu

Complex systems, ranging from soft materials to wireless communication, are often organised as random geometric networks in which nodes and edges evenly fill up the volume of some space. Studying such networks is difficult because they…

Probability · Mathematics 2022-07-19 Ivan Kryven , Rik Versendaal

The rise of the World Airline Network over the past century has lead to sharp changes in our notions of `distance' and `closeness' - both in terms of trade and travel, but also (less desirably) with respect to the spread of disease. When…

Physics and Society · Physics 2020-10-13 Alastair Jamieson-Lane , Bernd Blasius

In our more and more interconnected world, a specific risk is that of a cyber-epidemic (or cyber-pandemic), produced either accidentally or intentionally, where a cyber virus propagates from device to device up to undermining the global…

Cryptography and Security · Computer Science 2022-07-13 D. Aleja , G. Contreras-Aso , K. Alfaro-Bittner , E. Primo , R. Criado , M. Romance , S. Boccaletti

Human diseases spread over networks of contacts between individuals and a substantial body of recent research has focused on the dynamics of the spreading process. Here we examine a model of two competing diseases spreading over the same…

Physics and Society · Physics 2015-03-19 Brian Karrer , M. E. J. Newman

This manuscript introduces a new analytical approach for studying the time evolution of disease spread on a finite size network. Our methodology can accommodate any disease with a general infectivity profile. This new approach is able to…

Statistical Mechanics · Physics 2010-05-25 B. Davoudi , B. Pourbohloul

At the onset of the Covid-19 pandemic, a number of non-pharmaceutical interventions have been implemented in order to reduce transmission, thus leading to multiple phases of transmission. The disease reproduction number $R_t$, a way of…

Applications · Statistics 2023-05-03 Petros Barmpounakis , Nikolaos Demiris