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This article introduces epidemia, an R package for Bayesian, regression-oriented modeling of infectious diseases. The implemented models define a likelihood for all observed data while also explicitly modeling transmission dynamics: an…

Spreading dynamics is a central topic in the physics of complex systems and network science, providing a unified framework for understanding how information, behaviors, and diseases propagate through interactions among system units. In many…

Physics and Society · Physics 2026-02-10 Shuyu Jiang , Hao Ren , Yichang Gao , Yi-Cheng Zhang , Li Qi , Dayong Xiao , Jie Fan , Rui Tang , Wei Wang

Mathematical models in epidemiology are an indispensable tool to determine the dynamics and important characteristics of infectious diseases. Apart from their scientific merit, these models are often used to inform political decisions and…

COVID-19 has resulted in a public health global crisis. The pandemic control necessitates epidemic models that capture the trends and impacts on infectious individuals. Many exciting models can implement this but they lack practical…

Computers and Society · Computer Science 2021-04-13 Ou Deng , Kiichi Tago , Qun Jin

We study the problem of estimating the origin of an epidemic outbreak -- given a contact network and a snapshot of epidemic spread at a certain time, determine the infection source. Finding the source is important in different contexts of…

Physics and Society · Physics 2014-11-20 Andrey Y. Lokhov , Marc Mézard , Hiroki Ohta , Lenka Zdeborová

Social contact networks underlying epidemic processes in humans and animals are highly dynamic. The spreading of infections on such temporal networks can differ dramatically from spreading on static networks. We theoretically investigate…

Physics and Society · Physics 2017-09-13 Tomokatsu Onaga , James P. Gleeson , Naoki Masuda

The dynamics of epidemic spreading is often reduced to the single control parameter $R_0$, whose value, above or below unity, determines the state of the contagion. If, however, the pathogen evolves as it spreads, $R_0$ may change over…

Populations and Evolution · Quantitative Biology 2022-11-07 Xiyun Zhang , Zhongyuan Ruan , Muhua Zheng , Jie Zhou , Stefano Boccaletti , Baruch Barzel

Understanding the spread of any disease is a highly complex and interdisciplinary exercise as biological, social, geographic, economic, and medical factors may shape the way a disease moves through a population and options for its eventual…

Populations and Evolution · Quantitative Biology 2016-12-14 Aristides Moustakas

Risk-driven behavior provides a feedback mechanism through which individuals both shape and are collectively affected by an epidemic. We introduce a general and flexible compartmental model to study the effect of heterogeneity in the…

In the present work, a non-linear stochastic model is presented to study the effect of time variation of transmission rates on the co-evolution of epidemics and its corresponding awareness over a two layered multiplex network. In this…

Physics and Society · Physics 2021-12-08 Vikram Sagar , Yi Zhao , Abhijit Sen

The transmission dynamics of an epidemic are rarely homogeneous. Super-spreading events and super-spreading individuals are two types of heterogeneous transmissibility. Inference of super-spreading is commonly carried out on secondary case…

Quantitative Methods · Quantitative Biology 2025-01-23 Hannah Craddock , Simon EF Spencer , Xavier Didelot

Time plays an essential role in the diffusion of information, influence and disease over networks. In many cases we only observe when a node copies information, makes a decision or becomes infected -- but the connectivity, transmission…

Social and Information Networks · Computer Science 2011-05-05 Manuel Gomez Rodriguez , David Balduzzi , Bernhard Schölkopf

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

In this work, we introduce a quantum-inspired epidemic model to study the dynamics of an infectious disease in a population divided into compartments. By treating the healthy population as a large reservoir, we construct a framework based…

Populations and Evolution · Quantitative Biology 2025-03-19 Fabio Bagarello , Francesco Gargano , Polina Khrennikova

We study corruption as a generalized epidemic process on the graph of social relationships. The main difference to classical epidemic processes is the strong nonlinear dependence of the transmission probability on the local density of…

Physics and Society · Physics 2007-05-23 Ph. Blanchard , A. Krueger , T. Krueger , P. Martin

Understanding the dynamics of computer virus (malware, worm) in cyberspace is an important problem that has attracted a fair amount of attention. Early investigations for this purpose adapted biological epidemic models, and thus inherited…

Cryptography and Security · Computer Science 2016-03-25 Shouhuai Xu , Wenlian Lu , Li Xu

The study of how diseases spread has greatly benefited from advances in network modeling. Recently, a class of networks known as multilayer graphs has been shown to describe more accurately many real systems, making it possible to address…

Physics and Society · Physics 2019-04-16 Xiangrong Wang , Alberto Aleta , Dan Lu , Yamir Moreno

The recent COVID-19 pandemic has led to an increasing interest in the modeling and analysis of infectious diseases. The pandemic has made a significant impact on the way we behave and interact in our daily life. The past year has witnessed…

Computer Science and Game Theory · Computer Science 2021-06-17 Shutian Liu , Yuhan Zhao , Quanyan Zhu

This article examines how diseases on random networks spread in time. The disease is described by a probability distribution function for the number of infected and recovered individuals, and the probability distribution is described by a…

Adaptation and Self-Organizing Systems · Physics 2013-05-29 M. Marder

Consider stochastic models for the spread of an infection in a structured community, where this structured community is itself described by a random network model. Some common network models and transmission models are defined and large…

Populations and Evolution · Quantitative Biology 2019-08-16 Tom Britton