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A more connected world has brought major consequences such as facilitate the spread of diseases all over the world to quickly become epidemics, reason why researchers are concentrated in modeling the propagation of epidemics and outbreaks…

Physics and Society · Physics 2015-10-28 Lucila G. Alvarez Zuzek , Camila Buono , Lidia A. Braunstein

The spreading of an epidemic is determined by the connectiviy patterns which underlie the population. While it has been noted that a virus spreads more easily on a network in which global distances are small, it remains a great challenge to…

Statistical Mechanics · Physics 2007-05-23 Thomas Petermann , Paolo De Los Rios

In this paper we consider a model for the spread of a stochastic SIR (Susceptible $\to$ Infectious $\to$ Recovered) epidemic on a network of individuals described by a random intersection graph. Individuals belong to a random number of…

Probability · Mathematics 2014-04-29 Frank G. Ball , David J. Sirl , Pieter Trapman

Individuals involved in common group activities/settings -- e.g., college students that are enrolled in the same class and/or live in the same dorm -- are exposed to recurrent contacts of physical proximity. These contacts are known to…

Physics and Society · Physics 2024-10-22 Siddharth Patwardhan , Varun K. Rao , Santo Fortunato , Filippo Radicchi

We consider multiple diseases spreading in a static Configuration Model network. We make standard assumptions that infection transmits from neighbor to neighbor at a disease-specific rate and infected individuals recover at a…

Populations and Evolution · Quantitative Biology 2015-06-11 Joel C. Miller

Understanding cascading failures or epidemics in networks is crucial for developing effective defensive mechanisms for many critical systems and infrastructures (e.g. biological, social and cyber networks). Most of the existing works treat…

Computer Science and Game Theory · Computer Science 2016-07-20 Jie Xu

Multigraphs are graphs in which multiple links between pairs of nodes are allowed, whereas they are forbidden in simple graphs, the latter being widely used in network science. Simple graphs generated by the configuration model have served…

Physics and Society · Physics 2026-05-29 Paulo H. Lorenzoni , Wesley Cota , Francisco A. Rodrigues , Silvio C. Ferreira

Mathematical disease modelling has long operated under the assumption that any one infectious disease is caused by one transmissible pathogen spreading among a population. This paradigm has been useful in simplifying the biological reality…

Populations and Evolution · Quantitative Biology 2021-06-02 Blake J. M. Williams , Guillaume St-Onge , Laurent Hébert-Dufresne

For many infectious diseases, a small-world network on an underlying regular lattice is a suitable simplified model for the contact structure of the host population. It is well known that the contact network, described in this setting by a…

Populations and Evolution · Quantitative Biology 2009-11-11 M. M. Telo da Gama , A. Nunes

Early estimates of the transmission properties of a newly emerged pathogen are critical to an effective public health response, and are often based on limited outbreak data. Here, we use simulations to investigate a potential source of bias…

Populations and Evolution · Quantitative Biology 2022-11-17 Thomas Harris , Nicholas Geard , Cameron Zachreson

Records of social interactions provide us with new sources of data for understanding how interaction patterns affect collective dynamics. Such human activity patterns are often bursty, i.e., they consist of short periods of intense activity…

Physics and Society · Physics 2015-06-05 Taro Takaguchi , Naoki Masuda , Petter Holme

Recent studies have demonstrated that the allocation of individual resources has a significant influence on the dynamics of epidemic spreading. In the real scenario, individuals have a different level of awareness for self-protection when…

Physics and Society · Physics 2020-06-15 Xiaolong Chen , Kai Gong , Ruijie Wang , Shimin Cai , Wei Wang

Most epidemic models assume equal mixing among members of a population. An alternative approach is to model a population as random network in which individuals may have heterogeneous connectivity. This paper builds on previous research by…

Physics and Society · Physics 2007-05-23 Erik Volz

Spatial models for spread of an epidemic may be mapped onto bond percolation. We point out that with disorder in the strength of contacts between individuals patchiness in the spread of the epidemic is very likely, and the criterion for…

Statistical Mechanics · Physics 2009-11-10 L. M. Sander , C. P. Warren , I. M. Sokolov

When an infectious disease outbreak is of a relatively small size, describing the ancestry of a sample of infected individuals is difficult because most ancestral models assume large population sizes. Given a set of infected individuals, we…

Populations and Evolution · Quantitative Biology 2025-01-31 Xavier Didelot , David Helekal , Ian Roberts

Infectious diseases typically spread over a contact network with millions of individuals, whose sheer size is a tremendous challenge to analysing and controlling an epidemic outbreak. For some contact networks, it is possible to group…

Physics and Society · Physics 2021-07-23 Bastian Prasse , Karel Devriendt , Piet Van Mieghem

We investigate the spread of an infection or other malfunction of cascading nature when a system component can recover only if it remains reachable from a functioning central component. We consider the susceptible-infected-susceptible…

Physics and Society · Physics 2016-04-27 L. Böttcher , O. Woolley-Meza , E. Goles , D. Helbing , H. J. Herrmann

This letter investigates the epidemic spreading in two-vectors propagation network (TPN). We propose detailed theoretical analysis that allows us to accurately calculate the epidemic threshold and outbreak size. It is found that the…

Physics and Society · Physics 2013-07-09 Dawei Zhao , Lixiang Li , Haipeng Peng , Qun Luo , Yixian Yang

Epidemiological contact network models have emerged as an important tool in understanding and predicting the spread of infectious disease, due to their capacity to engage individual heterogeneity that may underlie essential dynamics of a…

Physics and Society · Physics 2019-10-28 Jack Leitch , Kathleen A. Alexander , Srijan Sengupta

Current modeling of infectious diseases allows for the study of complex and realistic scenarios that go from the population to the individual level of description. However, most epidemic models assume that the spreading process takes place…

Physics and Society · Physics 2015-04-15 Joaquín Sanz , Cheng-Yi Xia , Sandro Meloni , Yamir Moreno