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Disease and information spread over social and information networks. Understanding the spread phenomena in networks requires paying attention not only to the degree distribution but also to the degree correlation. However, it is considered…

Physics and Society · Physics 2023-11-22 Satoru Morita

Extended-range percolation is a robust percolation process that has relevance for quantum communication problems. In extended-range percolation nodes can be trusted or untrusted. Untrusted facilitator nodes are untrusted nodes that can…

Statistical Mechanics · Physics 2024-10-08 Lorenzo Cirigliano , Claudio Castellano , Ginestra Bianconi

Epidemic spreading can be suppressed by the introduction of containment measures such as social distancing and lock downs. Yet, when such measures are relaxed, new epidemic waves and infection cycles may occur. Here we explore this issue in…

Physics and Society · Physics 2020-12-07 Fabio Caccioli , Daniele De Martino

We propose a new paradigm to design a network-based self-adaptive epidemic model that relies on the interplay between the network and its line graph. We implement this proposal on a Susceptible-Infected-Susceptible model in which both nodes…

Adaptation and Self-Organizing Systems · Physics 2024-03-05 Paolo Bartesaghi , Gian Paolo Clemente , Rosanna Grassi

We introduce a Reed-Frost epidemic model with recursive contact tracing and asymptomatic transmission. This generalizes the branching-process model introduced by the authors in a previous work [arxiv:2004.07237] to finite populations and…

Statistical Mechanics · Physics 2021-08-18 Saumya Shivam , Vir B. Bulchandani , S. L. Sondhi

To analyze the impacts of certain types of public health interventions we need to estimate the treatment effects and outcomes as these apply to heterogeneous open populations. Dynamically modifying populations containing risk groups that…

Methodology · Statistics 2019-10-14 Aditi Shenvi , Jim Q. Smith

In this paper, we propose a realistic mathematical model taking into account the mutual interference among the interacting populations. This model attempts to describe the control (vaccination) function as a function of the number of…

Neural and Evolutionary Computing · Computer Science 2016-11-18 V. Sree Hari Rao , M. Naresh Kumar

Whole genome sequencing of pathogens from multiple hosts in an epidemic offers the potential to investigate who infected whom with unparalleled resolution, potentially yielding important insights into disease dynamics and the impact of…

his paper describes and analyzes the spatial spread of tuberculosis (TB) on complex metapopulation, that is, networks of populations connected by migratory flows whose configurations are described in terms of connectivity distribution of…

Dynamical Systems · Mathematics 2015-03-13 Berge Tsanou , Samuel Bowong , Jean Jules Tewa

It is well known that tree-based theories can describe the properties of undirected clustered networks with extremely accurate results [S. Melnik, \textit{et al}. Phys. Rev. E 83, 036112 (2011)]. It is reasonable to suggest that a motif…

Physics and Society · Physics 2023-05-17 Peter Mann , Simon Dobson

Graphs are widely used for describing systems made up of many interacting components and for understanding the structure of their interactions. Various statistical models exist, which describe this structure as the result of a combination…

Methodology · Statistics 2021-06-28 Louis Duvivier , Rémy Cazabet , Céline Robardet

Detecting rumors on social media is a very critical task with significant implications to the economy, public health, etc. Previous works generally capture effective features from texts and the propagation structure. However, the…

Artificial Intelligence · Computer Science 2021-07-27 Lingwei Wei , Dou Hu , Wei Zhou , Zhaojuan Yue , Songlin Hu

Infectious diseases that incorporate pre-symptomatic transmission are challenging to monitor, model, predict and contain. We address this scenario by studying a variant of a stochastic susceptible-exposed-infected-recovered model on…

Physics and Society · Physics 2021-05-07 Bo Li , David Saad

Disease, opinions, ideas, gossip, etc. all spread on social networks. How these networks are connected (the network structure) influences the dynamics of the spreading processes. By investigating these relationships one gains understanding…

Populations and Evolution · Quantitative Biology 2017-06-29 Petter Holme

The exponential family of random graphs represents an important and challenging class of network models. Despite their flexibility, conventionally used exponential random graphs have one shortcoming. They cannot directly model weighted…

Probability · Mathematics 2016-07-15 Mei Yin

Because of its relevance to everyday life, the spreading of viral infections has been of central interest in a variety of scientific communities involved in fighting, preventing and theoretically interpreting epidemic processes. Recent…

Current epidemics in the biological and social domains are challenging the standard assumptions of mathematical contagion models. Chief among them are the complex patterns of transmission caused by heterogeneous group sizes and infection…

Physics and Society · Physics 2024-01-03 Guillaume St-Onge , Laurent Hébert-Dufresne , Antoine Allard

We study numerically statistical properties and dynamical disease propagation using a percolation model on a one dimensional small world network. The parameters chosen correspond to a realistic network of school age children. We found that…

Disordered Systems and Neural Networks · Physics 2009-11-07 Nouredine Zekri , Jean-Pierre Clerc

Here, we review the research we have done on social contagion. We describe the methods we have employed (and the assumptions they have entailed) in order to examine several datasets with complementary strengths and weaknesses, including the…

Social and Information Networks · Computer Science 2012-03-14 Nicholas A. Christakis , James H. Fowler

When designing control strategies for an infectious disease it is critical to identify the key pathways of transmission. Data on infected hosts - when they were born, where they lived and with whom they interacted - can help infer sources…

Quantitative Methods · Quantitative Biology 2026-03-27 Anthony J Wood , Aeron R Sanchez , Rowland R Kao