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The spreading of epidemics is very much determined by the structure of the contact network, which may be impacted by the mobility dynamics of the individuals themselves. In confined scenarios where a small, closed population spends most of…

Physics and Society · Physics 2018-05-09 Clara Granell , Peter J. Mucha

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

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…

Populations and Evolution · Quantitative Biology 2007-11-07 Damian H. Zanette , Sebastian Risau Gusman

In this paper, a susceptible-infected-susceptible (SIS) model with identical infectivity, where each node is assigned with the same capability of active contacts, $A$, at each time step, is presented. We found that on scale-free networks,…

Physics and Society · Physics 2007-05-23 Rui Yang , Jie Ren , Wen-Jie Bai , Tao Zhou , Ming-Feng Zhang , Bing-Hong Wang

We study structural changes of adaptive networks in the co-evolutionary susceptible-infected-susceptible (SIS) network model along its phase transition. We clarify to what extent these changes can be used as early-warning signs for the…

Physics and Society · Physics 2018-11-07 Leonhard Horstmeyer , Christian Kuehn , Stefan Thurner

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

In this paper we present a model describing Susceptible-Infected-Susceptible (SIS) type epidemics spreading on a dynamic contact network with random link activation and deletion where link ac- tivation can be locally constrained. We use and…

Dynamical Systems · Mathematics 2015-05-30 Michael Taylor , Timothy J. Taylor , Istvan Z. Kiss

Adaptive networks have been recently introduced in the context of disease propagation on complex networks. They account for the mutual interaction between the network topology and the states of the nodes. Until now, existing models have…

Statistical Mechanics · Physics 2010-09-28 Vincent Marceau , Pierre-André Noël , Laurent Hébert-Dufresne , Antoine Allard , Louis J. Dubé

We study a coupled epidemic-mobility model in which, at each time, individuals move in a network of spatially-distributed regions (sub-populations) according to a Continuous Time Markov Chain (CTMC) and subsequently interact with the local…

Systems and Control · Electrical Eng. & Systems 2019-09-30 Vishal Abhishek , Vaibhav Srivastava

A susceptible-infected-susceptible (SIS) model of multiple contagions on multilayer networks is developed to incorporate different spreading channels and disease mutations. The basic reproduction number for this model is estimated…

Physics and Society · Physics 2020-03-31 Petar Jovanovski , Igor Tomovski , Ljupco Kocarev

In this paper, we propose a modified susceptible-infected-recovered (SIR) model, in which each node is assigned with an identical capability of active contacts, $A$, at each time step. In contrast to the previous studies, we find that on…

Physics and Society · Physics 2007-05-23 Rui Yang , Bing-Hong Wang , Jie Ren , Wen-Jie Bai , Zhi-Wen Shi , Wen-Xu Wang , Tao Zhou

Theoretical modeling of computer virus/worm epidemic dynamics is an important problem that has attracted many studies. However, most existing models are adapted from biological epidemic ones. Although biological epidemic models can…

Dynamical Systems · Mathematics 2016-04-08 Shouhuai Xu , Wenlian Lu , Li Xu , Zhenxin Zhan

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

In this article we develop a highly integrated effective degree approach to modeling epidemic and awareness spreading processes on multiplex networks coupled with awareness-dependent adaptive rewiring. This approach keeps track of the…

Physics and Society · Physics 2021-04-05 Xiao-Long Peng , Yi-Dan Zhang

In many complex systems, the dynamic processes that take place on a network and the changes in the network topology are intertwined. Here, we propose a model of coevolutionary dynamics of information spreading which is accompanied with link…

Physics and Society · Physics 2023-11-01 Jeehye Choi , Byungjoon Min

We show how one can trace in a systematic way the coarse-grained solutions of individual-based stochastic epidemic models evolving on heterogeneous complex networks with respect to their topological characteristics. In particular, we have…

Social and Information Networks · Computer Science 2023-03-24 Andreas I. Reppas , Konstantinos Spiliotis , Constantinos Siettos

Understanding how social behavior influences epidemic dynamics has become a central focus in mathematical epidemiology. In particular, \textit{behavioral homophily} (the tendency of individuals to associate with similar others) and…

Disease awareness in epidemiology can be modelled with adaptive contact networks, where the interplay of disease dynamics and network alteration often adds new phases to the standard models (Gross et al. 2006, Shaw et al. 2008) and, in…

Adaptation and Self-Organizing Systems · Physics 2012-12-06 Stefan Wieland , Tomas Aquino , Andrea Parisi , Ana Nunes

We study SIS epidemic spreading processes unfolding on a recent generalisation of the activity-driven modelling framework. In this model of time-varying networks each node is described by two variables: activity and attractiveness. The…

Physics and Society · Physics 2017-11-01 Iacopo Pozzana , Kaiyuan Sun , Nicola Perra

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