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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…

物理与社会 · 物理学 2016-06-29 Chao-Ran Cai , Zhi-Xi Wu , Michael Z. Q. Chen , Petter Holme , Jian-Yue Guan

Epidemic outbreaks of new pathogens, or known pathogens in new populations, cause a great deal of fear because they are hard to predict. For theoretical models of disease spreading, on the other hand, quantities characterizing the outbreak…

种群与进化 · 定量生物学 2015-05-20 Petter Holme , Taro Takaguchi

In this work, we aim to understand the influence of the heterogeneity of infection rates on the Susceptible-Infected-Susceptible (SIS) epidemic spreading. Employing the classic SIS model as the benchmark, we study the influence of the…

物理与社会 · 物理学 2016-04-06 Bo Qu , Huijuan Wang

Transportation networks play a critical part in the spread of infectious diseases between populations. In this work, we define a networked susceptible-exposed-infected-recovered epidemic process with loss of immunity over time (SEIRS) that…

最优化与控制 · 数学 2023-09-22 Brooks A. Butler , Raphael Stern , Philip E. Paré

Dynamical systems running on the top of complex networks has been extensively investigated for decades. But this topic still remains among the most relevant issues in complex network theory due to its range of applicability. The contact…

物理与社会 · 物理学 2021-02-03 Angélica S. Mata

We present a method aimed to compute the communicability (broadcast and receive) of nodes through causal paths in temporal networks. The method considers all possible combinations of chronologically ordered products of adjacency matrices of…

物理与社会 · 物理学 2022-02-07 Agostino Funel

We study the spread of discrete-time epidemics over arbitrary networks for well-known propagation models, namely SIS (susceptible-infected-susceptible), SIR (susceptible-infected-recovered), SIRS (susceptible-infected-recovered-susceptible)…

社会与信息网络 · 计算机科学 2016-10-03 Navid Azizan Ruhi , Hyoung Jun Ahn , Babak Hassibi

The symptoms of many infectious diseases influence their host to withdraw from social activity limiting their own potential to spread. Successful transmission therefore requires the onset of infectiousness to coincide with a time when its…

种群与进化 · 定量生物学 2017-07-27 Ewan Colman , Kristen Spies , Shweta Bansal

Network--based epidemic models that account for heterogeneous contact patterns are extensively used to predict and control the diffusion of infectious diseases. We use census and survey data to reconstruct a geo--referenced and…

社会与信息网络 · 计算机科学 2026-05-19 Alessandro Celestini , Francesca Colaiori , Stefano Guarino , Enrico Mastrostefano , Lena Rebecca Zastrow

Pathogen introduction in plant communities can cause serious impact and biodiversity losses that may take long time to manage and restore. Effective control of epidemic spreading in the wild is a problem of paramount importance, because of…

种群与进化 · 定量生物学 2022-06-15 Ignacio Taguas , José A. Capitán , Juan C. Nuño

Dynamical processes on time-varying complex networks are key to understanding and modeling a broad variety of processes in socio-technical systems. Here we focus on empirical temporal networks of human proximity and we aim at understanding…

物理与社会 · 物理学 2013-11-01 Laetitia Gauvin , André Panisson , Ciro Cattuto , Alain Barrat

The spread of viruses in biological networks, computer networks, and human contact networks can have devastating effects; developing and analyzing mathematical models of these systems can be insightful and lead to societal benefits. Prior…

最优化与控制 · 数学 2016-09-19 Philip E. Paré , Angelia Nedić , Carolyn L. Beck

We study the stochastic susceptible-infected-susceptible model of epidemic processes on finite directed and weighted networks with arbitrary structure. We present a new lower bound on the exponential rate at which the probabilities of nodes…

物理与社会 · 物理学 2020-04-28 Naoki Masuda , Victor M. Preciado , Masaki Ogura

We consider the development of hyperbolic transport models for the propagation in space of an epidemic phenomenon described by a classical compartmental dynamics. The model is based on a kinetic description at discrete velocities of the…

物理与社会 · 物理学 2021-04-12 Giulia Bertaglia , Lorenzo Pareschi

In this paper we investigate a susceptible-infected-susceptible (SIS) epidemic model describing data dissemination in opportunistic networks with heterogeneous setting of transmission parameters. We obtained the estimation of the final…

社会与信息网络 · 计算机科学 2014-03-28 Vadim Alexeev , Liudmila Rozanova , Alexander Temerev

We study the spreading of an infection within an SIS epidemiological model on a network. Susceptible agents are given the opportunity of breaking their links with infected agents. Broken links are either permanently removed or reconnected…

种群与进化 · 定量生物学 2007-11-07 Damian H. Zanette , Sebastian Risau Gusman

Understanding the dynamics of computer virus (malware, worm) in cyberspace is an important problem that has attracted a fair amount of attention. Early investigations for this purpose adapted biological epidemic models, and thus inherited…

密码学与安全 · 计算机科学 2016-03-25 Shouhuai Xu , Wenlian Lu , Li Xu

The duration, type and structure of connections between individuals in real-world populations play a crucial role in how diseases invade and spread. Here, we incorporate the aforementioned heterogeneities into a model by considering a…

物理与社会 · 物理学 2018-04-05 Rosanna C Barnard , Istvan Z Kiss , Luc Berthouze , Joel C Miller

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…

种群与进化 · 定量生物学 2015-06-11 Joel C. Miller

We study geographical effects on the spread of diseases in lattice-embedded scale-free networks. The geographical structure is represented by the connecting probability of two nodes that is related to the Euclidean distance between them in…

物理与社会 · 物理学 2009-11-11 Xin-Jian Xu , Zhi-Xi Wu , Guanrong Chen