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A key problem in modelling the evolution dynamics of infectious diseases is the mathematical representation of the mechanism of transmission of the contagion. Models with a finite number of subpopulations can be described via systems of…

最优化与控制 · 数学 2017-03-09 Sebastian Anita , Vincenzo Capasso

A simple, but ``classical``, stochastic model for epidemic spread in a finite, but large, population is studied. The progress of the epidemic can be divided into three different phases that requires different tools to analyse. Initially the…

种群与进化 · 定量生物学 2018-05-29 Åke Svensson

Motile organisms can form stable agglomerates such as cities or colonies. In the outbreak of a highly contagious disease, the control of large-scale epidemic spread depends on factors like the number and size of agglomerates, travel rate…

种群与进化 · 定量生物学 2023-04-03 Pablo de Castro , Felipe Urbina , Ariel Norambuena , Francisca Guzmán-Lastra

Epidemics are emergent phenomena depending on the epidemiological characteristics of pathogens and the interaction and movement of people. Public transit systems have provided much important information about the movement of people, but…

社会与信息网络 · 计算机科学 2018-09-24 Zhanwei Du , Chao Gao , Yuan Bai , Yongjian Yang , Petter Holme

In this paper, we study the trajectory of a classic SIR epidemic on a family of dynamic random graphs of fixed size, whose set of edges continuously evolves over time. We set general infection and recovery times, and start the epidemic from…

概率论 · 数学 2025-01-17 Marta Milewska , Remco van der Hofstad , Bert Zwart

Effective public health decisions require early reliable inference of infectious disease properties. In this paper we assess the ability to infer infectious disease attributes from population-level stochastic epidemic trajectories. In…

种群与进化 · 定量生物学 2026-01-14 Mark P. Rast , Luke I. Rast

When an epidemic spreads into a population, it is often unpractical or impossible to have a continuous monitoring of all subjects involved. As an alternative, algorithmic solutions can be used to infer the state of the whole population from…

种群与进化 · 定量生物学 2021-05-12 Abhishek Tomy , Matteo Razzanelli , Francesco Di Lauro , Daniela Rus , Cosimo Della Santina

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…

社会与信息网络 · 计算机科学 2019-04-16 Masaki Ogura , Junichi Harada

We study the stochastic susceptible-infected-susceptible model of epidemic processes on finite directed and weighted networks with arbitrary structure. We present a new lower bound on the exponential rate at which the probabilities of nodes…

物理与社会 · 物理学 2020-04-28 Naoki Masuda , Victor M. Preciado , Masaki Ogura

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…

社会与信息网络 · 计算机科学 2011-05-05 Manuel Gomez Rodriguez , David Balduzzi , Bernhard Schölkopf

Contacts between individuals serve as pathways where infections may propagate. These contact patterns can be represented by network structures. Static structures have been the common modeling paradigm but recent results suggest that…

种群与进化 · 定量生物学 2012-04-25 Luis Enrique Correa Rocha , Adeline Decuyper , Vincent D Blondel

We study a kinetic multi-agent framework coupling opinion dynamics with epidemic spreading, where individual social behaviour both affects and is affected by disease transmission. Each agent is characterised by an epidemiological state and…

物理与社会 · 物理学 2026-03-13 Juan Pablo Pinasco , Nicolas Saintier , Horacio Tettamanti , Mattia Zanella

The analysis of diffusion processes in real-world propagation scenarios often involves estimating variables that are not directly observed. These hidden variables include parental relationships, the strengths of connections between nodes,…

社会与信息网络 · 计算机科学 2016-05-12 Shohreh Shaghaghian , Mark Coates

The emergence of novel infectious agents presents challenges to statistical models of disease transmission. These challenges arise from limited, poor-quality data and an incomplete understanding of the agent. Moreover, outbreaks manifest…

统计方法学 · 统计学 2024-03-20 Jiasheng Shi , Jeffrey S. Morris , David M. Rubin , Jing Huang

Recent studies on network geometry, a way of describing network structures as geometrical objects, are revolutionizing our way to understand dynamical processes on networked systems. Here, we cope with the problem of epidemic spreading,…

物理与社会 · 物理学 2020-03-04 Joan T. Matamalas , Sergio Gómez , Alex Arenas

Pathogen introduction in plant communities can cause serious impact and biodiversity losses that may take long time to manage and restore. Effective control of epidemic spreading in the wild is a problem of paramount importance, because of…

种群与进化 · 定量生物学 2022-06-15 Ignacio Taguas , José A. Capitán , Juan C. Nuño

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…

物理与社会 · 物理学 2021-04-20 Fabio Vanni , David Lambert

Accessing the network through which a propagation dynamics diffuse is essential for understanding and controlling it. In a few cases, such information is available through direct experiments or thanks to the very nature of propagation data.…

物理与社会 · 物理学 2020-12-15 Alfredo Braunstein , Alessandro Ingrosso , Anna Paola Muntoni

Human to human transmissible infectious diseases spread in a population using human interactions as its transmission vector. The early stages of such an outbreak can be modeled by a graph whose edges encode these interactions between…

种群与进化 · 定量生物学 2020-06-11 Goncalo Oliveira

Among the statistical tools for online information diffusion modeling, both epidemic models and Hawkes point processes are popular choices. The former originate from epidemiology, and consider information as a viral contagion which spreads…

社会与信息网络 · 计算机科学 2018-05-18 Marian-Andrei Rizoiu , Swapnil Mishra , Quyu Kong , Mark Carman , Lexing Xie