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We develop a stochastic epidemic model progressing over dynamic networks, where infection rates are heterogeneous and may vary with individual-level covariates. The joint dynamics are modeled as a continuous-time Markov chain such that…

统计方法学 · 统计学 2021-12-16 Fan Bu , Allison E. Aiello , Alexander Volfovsky , Jason Xu

This paper deals with the detection and prediction of losses due to cyber attacks waged on vital networks. The accumulation of losses to a network during a series of attacks is modeled by a 2-dimensional monotone random walk process as…

概率论 · 数学 2019-01-23 Jewgeni H. Dshalalow , Ryan T. White

Our society nowadays is governed by complex networks, examples being the power grids, telecommunication networks, biological networks, and social networks. It has become of paramount importance to understand and characterize the dynamic…

Epidemic spreading of infectious diseases is ubiquitous and has often considerable impact on public health and economic wealth. The large variability in spatio-temporal patterns of epidemics prohibits simple interventions and demands for a…

种群与进化 · 定量生物学 2010-11-25 Christel Kamp

Many real networks are not isolated from each other but form networks of networks, often interrelated in non trivial ways. Here, we analyze an epidemic spreading process taking place on top of two interconnected complex networks. We develop…

无序系统与神经网络 · 物理学 2015-06-04 Anna Saumell-Mendiola , M. Ángeles Serrano , Marián Boguñá

We introduce and study a model stemming from game theory for the spread of an epidemic throughout a given population. Each agent is allowed to choose an action whose value dictates to what extent they limit their social interactions, if at…

概率论 · 数学 2023-03-20 Sayar Karmakar , Moumanti Podder , Souvik Roy , Soumyarup Sadhukhan

Economic interdependencies have become increasingly present in globalized production, financial and trade systems. While establishing interdependencies among economic agents is crucial for the production of complex products, they may also…

物理与社会 · 物理学 2019-12-23 Aymeric Vié , Alfredo J. Morales

We show how one can trace in a systematic way the coarse-grained solutions of individual-based stochastic epidemic models evolving on heterogeneous complex networks with respect to their topological characteristics. In particular, we have…

社会与信息网络 · 计算机科学 2023-03-24 Andreas I. Reppas , Konstantinos Spiliotis , Constantinos Siettos

Random walk is one of the basic mechanisms found in many network applications. We study the epidemic spreading dynamics driven by biased random walks on complex networks. In our epidemic model, each time infected nodes constantly spread…

物理与社会 · 物理学 2015-06-22 Cunlai Pu , Siyuan Li , Jian Yang

The design of an efficient curing policy, able to stem an epidemic process at an affordable cost, has to account for the structure of the population contact network supporting the contagious process. Thus, we tackle the problem of…

最优化与控制 · 数学 2017-12-04 Stefania Ottaviano , Francesco De Pellegrini , Stefano Bonaccorsi , Piet Van Mieghem

Community structure is one of the most relevant features encountered in numerous real-world applications of networked systems. Despite the tremendous effort of scientists working on this subject over the past few decades to characterize,…

物理与社会 · 物理学 2019-12-18 Hocine Cherifi , Gergely Palla , Boleslaw K. Szymanski , Xiaoyan Lu

Global strategies to contain a pandemic, such as social distancing and protective measures, are designed to reduce the overall transmission rate between individuals. Despite such measures, essential institutions, including hospitals,…

种群与进化 · 定量生物学 2022-09-07 Roberto Morán-Tovar , Henning Gruell , Florian Klein , Michael Lässig

Stochasticity and spatial heterogeneity are of great interest recently in studying the spread of an infectious disease. The presented method solves an inverse problem to discover the effectively decisive topology of a heterogeneous network…

人工智能 · 计算机科学 2015-03-13 Yoshiharu Maeno

We present a detailed analytical and numerical study for the spreading of infections in complex population networks with acquired immunity. We show that the large connectivity fluctuations usually found in these networks strengthen…

统计力学 · 物理学 2009-11-07 Yamir Moreno , Romualdo Pastor-Satorras , Alessandro Vespignani

Socio-economic networks, from cities and firms to collaborative projects, often appear resilient for long periods before experiencing rapid, cascading decline as participation erodes. We explain such dynamics through a framework of…

物理与社会 · 物理学 2026-05-25 Sandro Claudio Lera , Andreas Haupt

Networks such as organizational network of a global company play an important role in a variety of knowledge management and information diffusion tasks. The nodes in these networks correspond to individuals who are self-interested. The…

计算机科学与博弈论 · 计算机科学 2014-10-10 Swapnil Dhamal , Y. Narahari

Interdependent networks are characterized by two kinds of interactions: The usual connectivity links within each network and the dependency links coupling nodes of different networks. Due to the latter links such networks are known to…

物理与社会 · 物理学 2015-06-18 Marcell Stippinger , János Kertész

We propose a coupled dynamical model of resource allocation and epidemic spread, inspired by the hierarchical structure of real-world therapeutic resource allocation. In this framework, network nodes are assigned distinct roles as either…

物理与社会 · 物理学 2026-02-13 Hao-Xiang Jiang , Chao-Ran Cai , Ji-Qiang Zhang , Ming Tang

Many real world networks are characterized by adaptive changes in their topology depending on the dynamic state of their nodes. Here we study epidemic dynamics in an adaptive network, where susceptibles are able to avoid contact with…

种群与进化 · 定量生物学 2007-05-23 Thilo Gross , Carlos Dommar D'Lima , Bernd Blasius

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…

物理与社会 · 物理学 2015-03-19 Brian Karrer , M. E. J. Newman