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We study epidemic spreading processes in large networks, when the spread is assisted by a small number of external agents: infection sources with bounded spreading power, but whose movement is unrestricted vis-\`a-vis the underlying network…

社会与信息网络 · 计算机科学 2014-04-15 Siddhartha Banerjee , Aditya Gopalan , Abhik Kumar Das , Sanjay Shakkottai

Stochastic processes can model many emerging phenomena on networks, like the spread of computer viruses, rumors, or infectious diseases. Understanding the dynamics of such stochastic spreading processes is therefore of fundamental interest.…

社会与信息网络 · 计算机科学 2019-01-07 Gerrit Großmann , Verena Wolf

We investigate the impact of network heterogeneity on synergistic contagion dynamics. By extending a synergistic contagion model to diverse heterogeneous network topologies, we uncover the emergence of novel dynamical regimes characterized…

物理与社会 · 物理学 2025-07-09 Francisco J. Perez-Reche , Sergei N. Taraskin

In an increasingly interconnected world, a key scientific challenge is to examine mechanisms that lead to the widespread propagation of contagions, such as misinformation and pathogens, and identify risk factors that can trigger large-scale…

社会与信息网络 · 计算机科学 2024-09-27 Mansi Sood , Hejin Gu , Rashad Eletreby , Swarun Kumar , Chai Wah Wu , Osman Yagan

Network models represent a useful tool to describe the complex set of financial relationships among heterogeneous firms in the system. In this paper, we propose a new semiparametric model for temporal multilayer causal networks with both…

计量经济学 · 经济学 2021-01-05 Billio Monica , Casarin Roberto , Costola Michele , Iacopini Matteo

Most models of epidemic spread, including many designed specifically for COVID-19, implicitly assume mass-action contact patterns and undirected contact networks, meaning that the individuals most likely to spread the disease are also the…

Trophic coherence, a measure of the extent to which the nodes of a directed network are organised in levels, has recently been shown to be closely related to many structural and dynamical aspects of complex systems, including graph…

物理与社会 · 物理学 2016-07-22 Janis Klaise , Samuel Johnson

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

Using the continuous-time susceptible-infected-susceptible (SIS) model on networks, we investigate the problem of inferring the class of the underlying network when epidemic data is only available at population-level (i.e. the number of…

种群与进化 · 定量生物学 2019-12-05 F. Di Lauro , J. -C. Croix , M. Dashti , L. Berthouze , I. Z. Kiss

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

Human mobility is a key factor in spatial disease dynamics and related phenomena. In computational models host mobility is typically modelled by diffusion in space or on metapolulation networks. Alternatively, an effective force of…

物理与社会 · 物理学 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

Disease awareness in infection dynamics can be modeled with adaptive contact networks whose rewiring rules reflect the attempt by susceptibles to avoid infectious contacts. Simulations of this type of models show an active phase with…

适应与自组织系统 · 物理学 2012-12-06 Stefan Wieland , Tomas Aquino , Ana Nunes

We study the spread of susceptible-infected-recovered (SIR) infectious diseases where an individual's infectiousness and probability of recovery depend on his/her "age" of infection. We focus first on early outbreak stages when stochastic…

种群与进化 · 定量生物学 2009-05-14 Joel Miller , Bahman Davoudi , Rafael Meza , Anja Slim , Babak Pourbohloul

Understanding the timing of the peak of a disease outbreak forms an important part of epidemic forecasting. In many cases, such information is essential for planning increased hospital bed demand and for designing of public health…

种群与进化 · 定量生物学 2023-11-27 Jacob Curran-Sebastian , Lorenzo Pellis , Ian Hall , Thomas House

It is often useful to represent the infectious dynamics of mobile agents by metapopulation models. In such a model, metapopulations form a static network, and individuals migrate from one metapopulation to another. It is known that…

无序系统与神经网络 · 物理学 2010-09-09 Naoki Masuda

During an epidemic, infectious individuals might not be detectable until some time after becoming infected. The studies show that carriers with mild or no symptoms are the main contributors to the transmission of a virus within the…

系统与控制 · 电气工程与系统科学 2020-11-17 Atefe Darabi , Milad Siami

We study the SIR model of epidemics on positively correlated heterogeneous networks with population variability, and explore the dependence of the final outbreak size on the network heterogeneity strength and basic reproduction number $R_0$…

统计力学 · 物理学 2023-06-16 Alexander Leibenzon , Michael Assaf

Mathematical models of infectious diseases, which are in principle analytically tractable, use two general approaches. The first approach, generally known as compartmental modeling, addresses the time evolution of disease propagation at the…

种群与进化 · 定量生物学 2010-09-16 Pierre-André Noël , Bahman Davoudi , Robert C. Brunham , Louis J. Dubé , Babak Pourbohloul

Our $N$-intertwined model (now called NIMFA) for virus spread in any network with $N$ nodes is extended to a full heterogeneous setting. The metastable steady-state nodal infection probabilities are specified in terms of a generalized…

最优化与控制 · 数学 2014-07-14 Piet Van Mieghem , Jasmina Omic

Identifying influential nodes plays a pivotal role in understanding, controlling, and optimizing the behavior of complex systems, ranging from social to biological and technological domains. Yet most centrality-based approaches rely on…

物理与社会 · 物理学 2025-12-12 Yajing Hao , Longzhao Liu , Xin Wang , Zhihao Han , Ming Wei , Zhiming Zheng , Shaoting Tang
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