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Traditional mathematical models of epidemic disease had for decades conventionally considered static structure for contacts. Recently, an upsurge of theoretical inquiry has strived towards rendering the models more realistic by…

Physics and Society · Physics 2016-01-20 Babak Fotouhi , Mehrdad Khani Shirkoohi

Epidemic spread on networks is one of the most studied dynamics in network science and has important implications in real epidemic scenarios. Nonetheless, the dynamics of real epidemics and how it is affected by the underline structure of…

Physics and Society · Physics 2020-09-08 Bnaya Gross , Shlomo Havlin

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,…

Physics and Society · Physics 2020-03-04 Joan T. Matamalas , Sergio Gómez , Alex Arenas

We investigate the susceptible-infected-susceptible dynamics on configuration model networks. In an effort for the unification of current approaches, we consider a network whose edges are constantly being rearranged, with a tunable rewiring…

Physics and Society · Physics 2017-01-10 Guillaume St-Onge , Jean-Gabriel Young , Edward Laurence , Charles Murphy , Louis J. Dubé

Network epidemic simulation holds the promise of enabling fine-grained understanding of epidemic behavior, beyond that which is possible with coarse-grained compartmental models. Key inputs to these epidemic simulations are the networks…

Social and Information Networks · Computer Science 2024-01-01 Omar Eldaghar , Michael W. Mahoney , David F. Gleich

A mechanism for self-organization of the degree of connectivity in model neural networks is studied. Network connectivity is regulated locally on the basis of an order parameter of the global dynamics which is estimated from an observable…

Statistical Mechanics · Physics 2009-11-07 Stefan Bornholdt , Torsten Roehl

We propose a targeted intervention protocol where recovery is restricted to individuals that have the least number of infected neighbours. Our recovery strategy is highly efficient on any kind of network, since epidemic outbreaks are…

Physics and Society · Physics 2017-10-31 Lucas Böttcher , José S. Andrade , Hans J. Herrmann

In this paper, we study the $SIS$ (susceptible-infected-susceptible) and $SIR$ (susceptible-infected-removed) epidemic models on undirected, weighted networks by deriving pairwise-type approximate models coupled with individual-based…

Dynamical Systems · Mathematics 2013-02-22 Prapanporn Rattana , Konstantin B. Blyuss , Ken T. D. Eames , Istvan Z. Kiss

Network structure can affect when and how widely new ideas, products, and behaviors are adopted. In widely-used models of biological contagion, interventions that randomly rewire edges (on average making them "longer") accelerate spread.…

Social and Information Networks · Computer Science 2023-08-22 Dean Eckles , Elchanan Mossel , M. Amin Rahimian , Subhabrata Sen

Many real-world complex networks simultaneously exhibit topological features of scale-free behaviour and hierarchical organization. In this regard, deterministic scale-free [A.-L. Barab\'asi \etal, Physica A, 299, 3 (2001)] and…

Physics and Society · Physics 2017-11-22 Chiranjit Mitra , Jürgen Kurths , Reik V. Donner

In this work we performed a numerical study of an epidemic model that mimics the endemic state of whooping cough in the pre-vaccine era. We considered a stochastic SIR model on dynamical networks that involve local and global contacts among…

Physics and Society · Physics 2015-06-09 Martin Dottori , Gabriel Fabricius

With increasing threats by large attacks or disasters, the time has come to reconstruct network infrastructures such as communication or transportation systems rather than to recover them as before in case of accidents, because many real…

Physics and Society · Physics 2020-09-03 Yukio Hayashi , Atsushi Tanaka , Jun Matsukubo

Infectious disease superspreading caused by heterogeneity in contact behavior has been observed to be an important determinant of epidemic dynamics and size in both empirical and theoretical settings. However, it has also been observed that…

Populations and Evolution · Quantitative Biology 2026-01-27 Ari S. Freedman , Bjarke F. Nielsen , Maximillian M. Nguyen , Laurent Hébert-Dufresne , Simon A. Levin

Random network models play a prominent role in modeling, analyzing and understanding complex phenomena on real-life networks. However, a key property of networks is often neglected: many real-world networks exhibit spatial structure, the…

Quantitative Methods · Quantitative Biology 2017-02-07 John Lang , Hans De Sterck , Jamieson L. Kaiser , Joel C. Miller

In this paper, I study epidemic diffusion in a generalized spatial SEIRD model, where individuals are initially connected in a social or geographical network. As the virus spreads in the network, the structure of interactions between people…

Physics and Society · Physics 2020-10-23 Giorgio Fagiolo

The effect of spatial correlations on the spread of infectious diseases was investigated using a stochastic SIR (Susceptible-Infective-Recovered) model on complex networks. It was found that in addition to the reduction of the effective…

Populations and Evolution · Quantitative Biology 2007-05-23 J. Verdasca , M. M. Telo da Gama , A. Nunes , N. R. Bernardino , J. M. Pacheco , M. C. Gomes

We study the diffusion of epidemics on networks that are partitioned into local communities. The gross structure of hierarchical networks of this kind can be described by a quotient graph. The rationale of this approach is that individuals…

Social and Information Networks · Computer Science 2016-01-19 Stefano Bonaccorsi , Stefania Ottaviano , Delio Mugnolo , Francesco De Pellegrini

Networks of contacts capable of spreading infectious diseases are often observed to be highly heterogeneous, with the majority of individuals having fewer contacts than the mean, and a significant minority having relatively very many…

Physics and Society · Physics 2016-12-21 César Parra-Rojas , Thomas House , Alan J. McKane

In wireless sensor networks (WSNs), main task of each sensor node is to sense the physical activity (i.e., targets or disaster conditions) and then to report it to the control center for further process. For this, sensor nodes are attached…

Networking and Internet Architecture · Computer Science 2018-01-16 Rajeev K. Shakya

Realistic human contact networks capable of spreading infectious disease, for example studied in social contact surveys, exhibit both significant degree heterogeneity and clustering, both of which greatly affect epidemic dynamics. To…

Populations and Evolution · Quantitative Biology 2018-10-16 A. Bishop , I. Z. Kiss , T. House
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