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We propose a class of random scale-free spatial networks with nested community structures and analyze Reed-Frost epidemics with community related independent transmissions. We show that the epidemic threshold may be trivial or not depending…

Probability · Mathematics 2011-07-11 Lorenzo Cecconi , Alberto Gandolfi

Detection of patient-zero can give new insights to the epidemiologists about the nature of first transmissions into a population. In this paper, we study the statistical inference problem of detecting the source of epidemics from a snapshot…

Social and Information Networks · Computer Science 2015-06-24 Nino Antulov-Fantulin , Alen Lancic , Tomislav Smuc , Hrvoje Stefancic , Mile Sikic

The SIR model is used extensively in the field of epidemiology, in particular, for the analysis of communal diseases. One problem with SIR and other existing models is that they are tailored to random or Erdos type networks since they do…

Social and Information Networks · Computer Science 2014-10-22 M. S. S. Khan

The structure of social contact networks strongly influences the dynamics of epidemic diseases. In particular the scale-free structure of real-world social networks allows unlikely diseases with low infection rates to spread and become…

Physics and Society · Physics 2012-09-13 Güven Demirel , Thilo Gross

The epidemic spreading has been widely studied when each node may get infected by an infected neighbor with the same rate. However, the infection rate between a pair of nodes is usually heterogeneous and even correlated with their nodal…

Physics and Society · Physics 2017-02-01 Bo Qu , Huijuan Wang

Time-limited states characterise many dynamical processes on networks: disease infected individuals recover after some time, people forget news spreading on social networks, or passengers may not wait forever for a connection. These…

Physics and Society · Physics 2023-06-13 Arash Badie-Modiri , Márton Karsai , Mikko Kivelä

Infection dynamics have been studied extensively on complex networks, yielding insight into the effects of heterogeneity in contact patterns on disease spread. Somewhat separately, metapopulations have provided a paradigm for modeling…

Physics and Society · Physics 2013-08-09 Jason Hindes , Sarabjeet Singh , Christopher R. Myers , David J. Schneider

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…

Social and Information Networks · Computer Science 2023-03-24 Andreas I. Reppas , Konstantinos Spiliotis , Constantinos Siettos

Cities have long served as nucleating centers for human development and advancement. Cities have facilitated the spread of both human creativity and human disease, and at the same time, efforts to minimize the spread of disease have…

Physics and Society · Physics 2020-11-10 Harold M Hastings , Tai Young-Taft

Identifying influential nodes in a network is a fundamental issue due to its wide applications, such as accelerating information diffusion or halting virus spreading. Many measures based on the network topology have emerged over the years…

Social and Information Networks · Computer Science 2022-12-26 Zakariya Ghalmane , Mohammed El Hassouni , Chantal Cherifi , Hocine Cherifi

Network properties govern the rate and extent of various spreading processes, from simple contagions to complex cascades. Recently, the analysis of spreading processes has been extended from static networks to temporal networks, where nodes…

Physics and Society · Physics 2019-12-18 Eun Lee , Scott Emmons , Ryan Gibson , James Moody , Peter J. Mucha

In the Susceptible-Infectious-Recovered (SIR) model of disease spreading, the time to extinction of the epidemics happens at an intermediate value of the per-contact transmission probability. Too contagious infections burn out fast in the…

Populations and Evolution · Quantitative Biology 2014-03-05 Petter Holme

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

Passenger contact in public transit (PT) networks can be a key mediate in the spreading of infectious diseases. This paper proposes a time-varying weighted PT encounter network to model the spreading of infectious diseases through the PT…

Physics and Society · Physics 2020-11-24 Baichuan Mo , Kairui Feng , Yu Shen , Clarence Tam , Daqing Li , Yafeng Yin , Jinhua Zhao

One of the major issues in the theoretical modeling of epidemic spreading is the development of methods to control the transmission of an infectious agent. Human behavior plays a fundamental role in the spreading dynamics and can be used to…

The Susceptible-Infected-Susceptible model is a canonical model for emerging disease outbreaks. Such outbreaks are naturally modeled as taking place on networks. A theoretical challenge in network epidemiology is the dynamic correlations…

Physics and Society · Physics 2016-06-29 Chao-Ran Cai , Zhi-Xi Wu , Michael Z. Q. Chen , Petter Holme , Jian-Yue Guan

We study the spread of multi-competitive viruses over a (possibly) time-varying network of individuals accounting for the presence of shared infrastructure networks that further enables transmission of the virus. We establish a sufficient…

Systems and Control · Electrical Eng. & Systems 2023-03-17 Sebin Gracy , Yuan Wang , Philip E. Pare , Cesar A Uribe

We investigate the spread of diseases, computer viruses or information on complex networks and also immunization strategies to prevent or control the spread. When an entire population cannot be immunized and the effect of immunization is…

Physics and Society · Physics 2011-04-14 Shinji Tanimoto

Social networks are the prime channel for the spreading of computer viruses. Yet the study of their propagation neglects the temporal nature of social interactions and the heterogeneity of users' susceptibility. Here, we introduce a…

Physics and Society · Physics 2019-05-29 Terry Brett , George Loukas , Yamir Moreno , Nicola Perra

One of the famous results of network science states that networks with heterogeneous connectivity are more susceptible to epidemic spreading than their more homogeneous counterparts. In particular, in networks of identical nodes it has been…

Physics and Society · Physics 2015-08-05 Hui Yang , Ming Tang , Thilo Gross
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