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Epidemic processes are used commonly for modeling and analysis of biological networks, computer networks, and human contact networks. The idea of competing viruses has been explored recently, motivated by the spread of different ideas along…

Optimization and Control · Mathematics 2017-05-16 Philip E. Paré , Ji Liu , Carolyn L. Beck , Angelia Nedić , Tamer Başar

We use a deterministic model to study two competing viruses spreading over a two-layer network in the Susceptible--Infected--Susceptible (SIS) framework, and address a central problem of identifying the winning virus in a…

Dynamical Systems · Mathematics 2024-10-24 Mengbin Ye , Brian D. O. Anderson , Axel Janson , Sebin Gracy , Karl H. Johansson

Diseases spread through host populations over the networks of contacts between individuals, and a number of results about this process have been derived in recent years by exploiting connections between epidemic processes and bond…

Statistical Mechanics · Physics 2007-05-23 M. E. J. Newman

Centrality is a key property of complex networks that influences the behavior of dynamical processes, like synchronization and epidemic spreading, and can bring important information about the organization of complex systems, like our brain…

Physics and Society · Physics 2019-01-24 Francisco Aparecido Rodrigues

During epidemic outbreaks, information dissemination enhances individual protection, while social institutions influence the transmission through measures like government interventions, media campaigns, and hospital resource allocation.…

Physics and Society · Physics 2025-06-03 Mengshou Wang , Liangrong Peng , Baoguo Jia , Liu Hong

Epidemic spreading on complex networks depends on the topological structure as well as on the dynamical properties of the infection itself. Generally speaking, highly connected individuals play the role of hubs and are crucial to channel…

Populations and Evolution · Quantitative Biology 2017-04-05 Eleonora Alfinito , Matteo Beccaria , Alberto Fachechi , Guido Macorini

Random walk is one of the basic mechanisms found in many network applications. We study the epidemic spreading dynamics driven by biased random walks on complex networks. In our epidemic model, each time infected nodes constantly spread…

Physics and Society · Physics 2015-06-22 Cunlai Pu , Siyuan Li , Jian Yang

We study spreading processes in two-dimensional systems of heterogeneous active agents that exhibit different individual active speeds. We obtain, combining kinetic and complex network theory, an analytical expression for the spreading…

Biological Physics · Physics 2025-12-10 Benjamín Marcolongo , Gustavo J. Sibona , Fernando Peruani

Albeit epidemic models have evolved into powerful predictive tools for the spread of diseases and opinions, most assume memoryless agents and independent transmission channels. We develop an infection mechanism that is endowed with memory…

Physics and Society · Physics 2019-05-22 Xavier R. Hoffmann , Marián Boguñá

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…

Cryptography and Security · Computer Science 2016-03-25 Shouhuai Xu , Wenlian Lu , Li Xu

The ways in which an innovation (e.g., new behaviour, idea, technology, product) diffuses among people can determine its success or failure. In this paper, we address the problem of diffusion of innovations over multiplex social networks…

Social and Information Networks · Computer Science 2014-08-26 Rasoul Ramezanian , Mostafa Salehi , Matteo Magnani , Danilo Montesi

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

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

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

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

Over the last two decades, network science has greatly advanced our understanding of how the collective behaviors of a complex system emerge from the interactions among its basic units. Multiplex networks, i.e. networks with many layers,…

In this paper, we study the interplay between individual behaviors and epidemic spreading in a dynamical network. We distribute agents on a square-shaped region with periodic boundary conditions. Every agent is regarded as a node of the…

Physics and Society · Physics 2018-02-14 Han-Xin Yang , Ming Tang , Zhen Wang

Several systems can be modeled as sets of interconnected networks or networks with multiple types of connections, here generally called multilayer networks. Spreading processes such as information propagation among users of an online social…

Social and Information Networks · Computer Science 2015-06-03 Mostafa Salehi , Rajesh Sharma , Moreno Marzolla , Matteo Magnani , Payam Siyari , Danilo Montesi

The concurrency of edges, quantified by the number of edges that share a common node at a given time point, may be an important determinant of epidemic processes in temporal networks. We propose theoretically tractable Markovian temporal…

Physics and Society · Physics 2024-05-09 Ruodan Liu , Masaki Ogura , Elohim Fonseca Dos Reis , Naoki Masuda

Social reinforcement and modular structure are two salient features observed in the spreading of behavior through social contacts. In order to investigate the interplay between these two features, we study the generalized epidemic process…

Physics and Society · Physics 2014-05-23 Kihong Chung , Yongjoo Baek , Daniel Kim , Meesoon Ha , Hawoong Jeong