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This paper investigates the performance of epidemic routing in mobile social networks. It first analyzes the time taken for a node to meet the first node of a set of nodes restricted to move in a specific subarea. Afterwards, a monolithic…

Networking and Internet Architecture · Computer Science 2020-02-17 Leila Rashidi , Amir Dalili-Yazdi , Reza Entezari-Maleki , Leonel Sousa , Ali Movaghar

We study epidemic arrival times in meta-population disease models through the lens of front propagation into unstable states. We demonstrate that several features of invasion fronts in the PDE context are also relevant to the network case.…

Populations and Evolution · Quantitative Biology 2022-10-19 Ashley Armbruster , Matt Holzer , Noah Roselli , Lena Underwood

In the study of infectious diseases on networks, researchers calculate epidemic thresholds to help forecast whether a disease will eventually infect a large fraction of a population. Because network structure typically changes in time,…

Social and Information Networks · Computer Science 2021-08-11 Qinyi Chen , Mason A. Porter

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

For a sensor network, a tractable spatially-dependent node deployment model is presented with the property that the density is inversely proportional to the sink distance. A stochastic model is formulated to examine message advancements…

Probability · Mathematics 2015-03-13 H. Paul Keeler

In this paper, we analyze a shared access network with a fixed primary node and randomly distributed secondary nodes whose distribution follows a Poisson point process (PPP). The secondaries use a random access protocol allowing them to…

Networking and Internet Architecture · Computer Science 2016-03-30 Zheng Chen , Nikolaos Pappas , Marios Kountouris , Vangelis Angelakis

Practical wireless networks are finite, and hence non-stationary with nodes typically non-homo-geneously deployed over the area. This leads to a location-dependent performance and to boundary effects which are both often neglected in…

Information Theory · Computer Science 2014-01-03 Ralph Tanbourgi , Holger Jäkel , Friedrich K. Jondral

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 investigate the role of migration patterns on the spread of epidemics in complex networks. We enhance the SIS-diffusion model on metapopulations to a nonlinear diffusion. Specifically, individuals move randomly over the network but at a…

Populations and Evolution · Quantitative Biology 2026-04-16 Jordi Ripoll , Albert Avinyó , Marta Pellicer , Joan Saldaña

We study the susceptible-infected-susceptible (SIS) model on directed complex networks within the quenched mean-field approximation. Combining results from random matrix theory with an analytic approach to the distribution of fixed-point…

Physics and Society · Physics 2025-12-12 Vinícius B. Müller , Fernando L. Metz

One of the popular dynamics on complex networks is the epidemic spreading. An epidemic model describes how infections spread throughout a network. Among the compartmental models used to describe epidemics, the…

Physics and Society · Physics 2011-07-14 Faryad Darabi Sahneh , Caterina Scoglio

In the present work the spread of epidemic is studied over complex networks which are characterized by power law degree distribution of links and heterogeneous rate of disease transmission. The random allocation of epidemic transmission…

Physics and Society · Physics 2016-07-19 Vikram Sagar , Yi Zhao

In random access protocols, the service rate depends on the number of stations with a packet buffered for transmission. We demonstrate via numerical analysis that this state-dependent rate along with the consideration of Poisson traffic and…

Networking and Internet Architecture · Computer Science 2014-05-23 Cristina Cano , David Malone

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…

Physics and Society · Physics 2021-02-03 Angélica S. Mata

In previous work, we developed the scaled SIS process, which models the dynamics of SIS epidemics over networks. With the scaled SIS process, we can consider networks that are finite-sized and of arbitrary topology (i.e., we are not…

Social and Information Networks · Computer Science 2014-10-10 June Zhang , José M. F. Moura

During an epidemic, infectious individuals might not be detectable until some time after becoming infected. The studies show that carriers with mild or no symptoms are the main contributors to the transmission of a virus within the…

Systems and Control · Electrical Eng. & Systems 2020-11-17 Atefe Darabi , Milad Siami

In this work we review a class of deterministic nonlinear models for the propagation of infectious diseases over contact networks with strongly-connected topologies. We consider network models for susceptible-infected (SI),…

Social and Information Networks · Computer Science 2017-01-13 Wenjun Mei , Shadi Mohagheghi , Sandro Zampieri , Francesco Bullo

The epidemic threshold of the susceptible-infected-susceptible (SIS) dynamics on random networks having a power law degree distribution with exponent $\gamma>3$ has been investigated using different mean-field approaches, which predict…

Physics and Society · Physics 2015-06-19 Angélica S. Mata , Silvio C. Ferreira

In this paper, we study the dynamics of epidemic processes taking place in temporal and adaptive networks. Building on the activity-driven network model, we propose an adaptive model of epidemic processes, where the network topology…

Social and Information Networks · Computer Science 2018-02-27 Masaki Ogura , Victor M. Preciado , Naoki Masuda

Global transport and communication networks enable information, ideas and infectious diseases now to spread at speeds far beyond what has historically been possible. To effectively monitor, design, or intervene in such epidemic-like…

Physics and Society · Physics 2020-02-13 Sam Moore , Tim Rogers
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