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Many complex networks exhibit vulnerability to spreading of epidemics, and such vulnerability relates to the viral strain as well as to the network characteristics. For instance, the structure of the network plays an important role in…

Physics and Society · Physics 2015-03-14 Mina Youssef , Caterina Scoglio

The transmission dynamics of some infectious diseases is related to the contact structure between individuals in a network. We used five algorithms to generate contact networks with different topological structure but with the same…

Populations and Evolution · Quantitative Biology 2013-08-28 Raul Ossada , José H. H. Grisi-Filho , Fernando Ferreira , Marcos Amaku

By generating transient encounters between individuals beyond their immediate social environment, transport can have a profound impact on the spreading of an epidemic. In this work, we consider epidemic dynamics in the presence of the…

Adaptation and Self-Organizing Systems · Physics 2022-11-03 Christian Kuehn , Jan Mölter

When an epidemic spreads in a population, individuals may adaptively change the structure of their social contact network to reduce risk of infection. Here we study the spread of an epidemic on an adaptive network with community structure.…

Populations and Evolution · Quantitative Biology 2012-12-14 Ilker Tunc , Leah B. Shaw

The structure of heterogeneous networks and human mobility patterns profoundly influence the spreading of endemic diseases. In small-scale communities, individuals engage in social interactions within confined environments, such as homes…

Physics and Society · Physics 2025-05-20 Yusheng Li , Yichao Yao , Minyu Feng , Tina P. Benko , Matjaž Perc , Jernej Završnik

While most existing epidemic models focus on the influence of isolated factors, infectious disease transmission is inherently shaped by the complex interplay of multiple interacting elements. To better capture real-world dynamics, it is…

Physics and Society · Physics 2025-04-18 Guangyuan Mei , Yao Cai , Su-Su Zhang , Ying Huang , Chuang Liu , Xiu-Xiu Zhan

A model for the spread of an infection is analyzed for different population structures. The interactions within the population are described by small world networks, ranging from ordered lattices to random graphs. For the more ordered…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Marcelo Kuperman , Guillermo Abramson

In this paper, we introduce a modified epidemic model on regular and scale-free networks respectively. We consider the birth rate $\delta$, cure rate $\gamma$, infection rate $\lambda$, $\alpha$ from the infectious disease, and death rate…

Populations and Evolution · Quantitative Biology 2013-02-14 Jingzhou Liu

We study the standard SIS model of epidemic spreading on networks where individuals have a fluctuating number of connections around a preferred degree $\kappa $. Using very simple rules for forming such preferred degree networks, we find…

Statistical Mechanics · Physics 2012-12-05 Shivakumar Jolad , Wenjia Liu , B. Schmittmann , R. K. P. Zia

We present a modified \emph{susceptible-infected-susceptible} (SIS) model on complex networks, small-world and scale-free, to study epidemic spreading with the effect of time delay which is introduced to the infected phase. Considering the…

Physics and Society · Physics 2009-11-11 Xin-Jian Xu , Hai-Ou Peng , Xiao-Mei Wang , Ying-Hai Wang

Epidemic spread in single-host systems strongly depends on the population's contact network. However, little is known regarding the spread of epidemics across networks representing populations of multiple hosts. We explored cross-species…

Populations and Evolution · Quantitative Biology 2017-12-06 Shai Pilosof , Gili Greenbaum , Boris R. Krasnov , Yuval R. Zelnik

Epidemics exhibit interconnected processes that operate at multiple time and organizational scales, a hallmark of complex adaptive systems. Modern epidemiological modeling frameworks incorporate feedback between individual-level behavioral…

Dynamical Systems · Mathematics 2025-03-07 Baltazar Espinoza , Roger Sanchez , Jimmy Calvo-Monge , Fabio Sanchez

We study the Susceptible-Infected-Susceptible model of epidemic spreading on two layers of networks interconnected by adaptive links, which are rewired at random to avoid contacts between infected and susceptible nodes at the interlayer. We…

Physics and Society · Physics 2019-12-03 F. Vazquez , M. A. Serrano , M. San Miguel

The ability to directly record human face-to-face interactions increasingly enables the development of detailed data-driven models for the spread of directly transmitted infectious diseases at the scale of individuals. Complete coverage of…

In this paper, a branching process approximation for the spread of a Reed-Frost epidemic on a network with tunable clustering is derived. The approximation gives rise to expressions for the epidemic threshold and the probability of a large…

Probability · Mathematics 2007-08-30 Tom Britton , Maria Deijfen , Andreas Nordvall Lagerås , Mathias Lindholm

Metapopulation models have been a powerful tool for both theorizing and simulating epidemic dynamics. In a metapopulation model, one considers a network composed of subpopulations and their pairwise connections, and individuals are assumed…

Physics and Society · Physics 2021-12-28 Lingqi Meng , Naoki Masuda

We study the critical effect of an intermittent social distancing strategy on the propagation of epidemics in adaptive complex networks. We characterize the effect of our strategy in the framework of the susceptible-infected-recovered…

Physics and Society · Physics 2012-04-02 L. D. Valdez , P. A. Macri , L. A. Braunstein

Whether it be physical, biological or social processes, complex systems exhibit dynamics that are exceedingly difficult to understand or predict from underlying principles. Here we report a striking correspondence between the collective…

Atomic Physics · Physics 2021-05-19 T. M. Wintermantel , M. Buchhold , S. Shevate , M. Morgado , Y. Wang , G. Lochead , S. Diehl , S. Whitlock

We present a finite-size scaling theory of a contact process with permanent immunity on uncorrelated scale-free networks. We model an epidemic outbreak by an analog of the susceptible-infected-removed model where an infected individual…

Statistical Mechanics · Physics 2022-12-20 D. S. M. Alencar , T. F. A. Alves , F. W. S. Lima , G. A. Alves , A. Macedo-Filho , R. S. Ferreira

Bridging nodes, which connect critical components of a network, play an important role in maintaining structural integrity and facilitating communication within the network, representing indirect yet relevant connections. Epidemic…