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It has been shown in the past that many real-world networks exhibit community structures and non-trivial clustering which comes with the occurrence of a notable number of triangular connections. Yet the influence of such connection patterns…

Physics and Society · Physics 2016-10-25 Ilja Rausch

We investigate the avalanche temporal statistics of the Susceptible-Infected-Susceptible (SIS) model when the dynamics is critical and takes place on finite random networks. By considering numerical simulations on annealed topologies we…

Statistical Mechanics · Physics 2023-02-23 Daniele Notarmuzi , Alessandro Flammini , Claudio Castellano , Filippo Radicchi

Many complex networks exhibit vulnerability to spreading of epidemics, and such vulnerability relates to the viral strain as well as to the network characteristics. For instance, the structure of the network plays an important role in…

Physics and Society · Physics 2015-03-14 Mina Youssef , Caterina Scoglio

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

Traditional biomedical approaches treat diseases in isolation, but the importance of synergistic disease interactions is now recognized. As a first step we present and analyze a simple coinfection model for two diseases affecting…

Dynamical Systems · Mathematics 2015-04-21 Marcos Marvá , Ezio Venturino , Rafael Bravo de la Parra

We use the susceptible-infected-recovered (SIR) model for disease spread over a network, and empirically study how well various centrality measures perform at identifying which nodes in a network will be the best spreaders of disease on 10…

Social and Information Networks · Computer Science 2012-08-23 Brian Macdonald , Paulo Shakarian , Nicholas Howard , Geoffrey Moores

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

Modeling epidemic dynamics plays an important role in studying how diseases spread, predicting their future course, and designing strategies to control them. In this letter, we introduce a model of SIR (susceptible-infected-removed) type…

Populations and Evolution · Quantitative Biology 2013-12-17 Li Chen , Fakhteh Ghanbarnejad , Weiran Cai , Peter Grassberger

In network-based SIS models of infectious disease transmission, infection can only occur between directly connected individuals. This constraint naturally gives rise to spatial correlations between the states of neighboring nodes, as the…

Statistical Mechanics · Physics 2026-03-18 Alexander Leibenzon , Samuel W. S. Johnson , Ruth E. Baker , Michael Assaf

When an epidemic spreads in a population, individuals may adaptively change the structure of their social contact network to reduce risk of infection. Here we study the spread of an epidemic on an adaptive network with community structure.…

Populations and Evolution · Quantitative Biology 2012-12-14 Ilker Tunc , Leah B. Shaw

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

In a collection of particles performing independent random walks on $\mathbb Z^d$ we study the spread of an infection with SIR dynamics. Susceptible particles become infected when they meet an infected particle. Infected particles heal and…

Probability · Mathematics 2022-09-14 Duncan Dauvergne , Allan Sly

Two simple agent based models are often employed in epidemic studies: the susceptible-infected (SI) and the susceptible-infected-susceptible (SIS). Both models describe the time evolution of infectious diseases in networks in which vertices…

In this paper, we introduce a modified epidemic model on regular and scale-free networks respectively. We consider the birth rate $\delta$, cure rate $\gamma$, infection rate $\lambda$, $\alpha$ from the infectious disease, and death rate…

Populations and Evolution · Quantitative Biology 2013-02-14 Jingzhou Liu

The compartmental models used to study epidemic spreading often assume the same susceptibility for all individuals, and are therefore, agnostic about the effects that differences in susceptibility can have on epidemic spreading. Here we…

Physics and Society · Physics 2014-03-12 Daniel Smilkov , Cesar A. Hidalgo , Ljupco Kocarev

Epidemic threshold is one of the most important features of the epidemic dynamics. Through a lot of numerical simulations in classic Susceptible-Infected-Recovered (SIR) and Susceptible-Infected-Susceptible (SIS) models on various types of…

Physics and Society · Physics 2014-10-16 Panpan Shu , Wei Wang , Ming Tang , Younghae Do

Studies on how to model the interplay between diseases and behavioral responses (so-called coupled disease-behavior interaction) have attracted increasing attention. Owing to the lack of obvious clinical evidence of diseases, or the…

Physics and Society · Physics 2016-08-24 Hai-Feng Zhang , Jia-Rong Xie , Han-Shuang Chen , Can Liu , Michael Small

In this work, the spread of a contagious disease on a society where the individuals may take precautions is modeled. The primary assumption is that the infected individuals transmit the infection to the susceptible members of the community…

Physics and Society · Physics 2021-03-16 Semra Gunduc

We study the effect of the connectivity pattern of complex networks on the propagation dynamics of epidemics. The growth time scale of outbreaks is inversely proportional to the network degree fluctuations, signaling that epidemics spread…

Disordered Systems and Neural Networks · Physics 2009-11-10 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

The paper deals with the spread of two competing viruses over a network of population nodes, accounting for pairwise interactions and higher-order interactions (HOI) within and between the population nodes. We study the competitive…

Systems and Control · Electrical Eng. & Systems 2023-09-26 Sebin Gracy , Brian D. O. Anderson , Mengbin Ye , Cesar A. Uribe