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Related papers: Cooperative epidemics on multiplex networks

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can evolve simultaneously. For the information-driven adaptive process, susceptible (infected) individuals who have abilities to recognize the disease would break the links of their infected (susceptible) neighbors to prevent the epidemic…

Physics and Society · Physics 2015-05-20 Xiu-Xiu Zhan , Chuang Liu , Gui-Quan Sun , Zi-Ke Zhang

The study proposes a modeling framework for investigating the disease dynamics with adaptive human behavior during a disease outbreak, considering the impacts of both local observations and global information. One important application…

Physics and Society · Physics 2020-08-26 Xinwu Qian , Jiawei Xue , Satish V. Ukkusuri

Studying models of cyber epidemics over arbitrary complex networks can deepen our understanding of cyber security from a whole-system perspective. In this paper, we initiate the investigation of cyber epidemic models that accommodate the…

Cryptography and Security · Computer Science 2016-03-29 Maochao Xu , Gaofeng Da , Shouhuai Xu

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

We investigate the effect of degree correlation on a susceptible-infected-susceptible (SIS) model with a nonlinear cooperative effect (synergy) in infectious transmissions. In a mean-field treatment of the synergistic SIS model on a bimodal…

Physics and Society · Physics 2022-09-08 Shogo Mizutaka , Kizashi Mori , Takehisa Hasegawa

Although traditional models of epidemic spreading focus on the number of infected, susceptible and recovered individuals, a lot of attention has been devoted to integrate epidemic models with population genetics. Here we develop an…

Populations and Evolution · Quantitative Biology 2021-11-24 Vitor M. Marquioni , Marcus A. M. de Aguiar

The dynamics of the spread of contagions such as viruses, infectious diseases or even rumors/opinions over contact networks (graphs) have effectively been captured by the well known \textit{Susceptible-Infected-Susceptible} ($SIS$) epidemic…

Systems and Control · Electrical Eng. & Systems 2022-10-13 Vishwaraj Doshi , Shailaja Mallick , Do Young Eun

Nowadays, the emergence of online services provides various multi-relation information to support the comprehensive understanding of the epidemic spreading process. In this Letter, we consider the edge weights to represent such multi-role…

Physics and Society · Physics 2015-06-16 Ye Sun , Chuang Liu , Chu-Xu Zhang , Zi-Ke Zhang

We study a symmetric two-disease SIR co-infection model on networks in which co-infected individuals recover at a rate distinct from that of single infections. The model explicitly represents all co-infection states and features absorbing…

Statistical Mechanics · Physics 2025-12-22 Gerardo Palafox-Castillo , Ericka Fabiola Vázquez-Alcalá , Arturo Berrones-Santos

The design of an efficient curing policy, able to stem an epidemic process at an affordable cost, has to account for the structure of the population contact network supporting the contagious process. Thus, we tackle the problem of…

Optimization and Control · Mathematics 2017-12-04 Stefania Ottaviano , Francesco De Pellegrini , Stefano Bonaccorsi , Piet Van Mieghem

Many real world networks are characterized by adaptive changes in their topology depending on the dynamic state of their nodes. Here we study epidemic dynamics in an adaptive network, where susceptibles are able to avoid contact with…

Populations and Evolution · Quantitative Biology 2007-05-23 Thilo Gross , Carlos Dommar D'Lima , Bernd Blasius

A network epidemic model is studied. The underlying social network has two different types of group structures, households and workplaces, such that each individual belongs to exactly one household and one workplace. The random network is…

Probability · Mathematics 2024-10-10 Frank Ball , Tom Britton , Peter Neal

To control infection spreading on networks, we investigate the effect of observer nodes that recognize infection in a neighboring node and make the rest of the neighbor nodes immune. We numerically show that random placement of observer…

Physics and Society · Physics 2014-07-15 Taro Takaguchi , Takehisa Hasegawa , Yuichi Yoshida

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…

Social and Information Networks · Computer Science 2026-05-19 Alessandro Celestini , Francesca Colaiori , Stefano Guarino , Enrico Mastrostefano , Lena Rebecca Zastrow

This paper studies a distributed continuous-time bi-virus model in which two competing viruses spread over a network consisting of multiple groups of individuals. Limiting behaviors of the network are characterized by analyzing the…

Optimization and Control · Mathematics 2019-01-04 Ji Liu , Philip E. Pare , Angelia Nedich , Choon Yik Tang , Carolyn L. Beck , Tamer Basar

We present a detailed analytical and numerical study for the spreading of infections in complex population networks with acquired immunity. We show that the large connectivity fluctuations usually found in these networks strengthen…

Statistical Mechanics · Physics 2009-11-07 Yamir Moreno , Romualdo Pastor-Satorras , Alessandro Vespignani

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

To simplify mathematical models of disease spread, we often assume equal contact rates among hosts, but real-world scenarios differ. Network-based frameworks help capture these complexities and structural variations in actual systems. We…

Dynamical Systems · Mathematics 2024-07-03 Saswata Das , Mohammad Hossein Samaei , Caterina Scoglio

An epidemic spreading in a network calls for a decision on the part of the network members: They should decide whether to protect themselves or not. Their decision depends on the trade-off between their perceived risk of being infected and…

Systems and Control · Computer Science 2015-03-17 George Theodorakopoulos , Jean-Yves Le Boudec , John S. Baras

We perform a bifurcation analysis on an SIR model involving two pathogens that influences each other. Partial cross-immunity is assumed and coinfection is thought to be less transmittable then each of the diseases alone. The susceptible…

Dynamical Systems · Mathematics 2022-09-09 J. Andersson , V. Kozlov , V. G. Tkachev , U. Wennergren