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Social interactions are stratified in multiple contexts and are subject to complex temporal dynamics. The systematic study of these two features of social systems has started only very recently mainly thanks to the development of multiplex…

Physics and Society · Physics 2018-12-12 Quan-Hui Liu , Xinyue Xiong , Qian Zhang , Nicola Perra

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

We study SIS epidemic spreading models under population dispersal on multi-layer networks. We consider a patchy environment in which each patch comprises individuals belonging to different classes. Individuals disperse to other patches on a…

Optimization and Control · Mathematics 2022-11-02 Vishal Abhishek , Vaibhav Srivastava

Analytical studies of network epidemiology almost exclusively focus on the extreme situations where the time scales of network dynamics are well separated (longer or shorter) from that of epidemic propagation. In realistic scenarios,…

Physics and Society · Physics 2024-05-16 Chao-Ran Cai , Yuan-Yuan Nie , Petter Holme

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

We develop a theory for the susceptible-infected-susceptible (SIS) epidemic model on networks that incorporate both network structure and dynamic correlations. This theory can account for the multistage onset of the epidemic phase in…

Physics and Society · Physics 2021-04-07 Chao-Ran Cai , Zhi-Xi Wu , Petter Holme

The study of SIS epidemics on networks has stressed the role of the network topology on the spreading process. However, accurate models of SIS epidemics rely on the complete knowledge of the network topology, which is often not available.…

Physics and Society · Physics 2017-08-08 Aram Vajdi , Caterina Scoglioy

We investigate the effects of modular and temporal connectivity patterns on epidemic spreading. To this end, we introduce and analytically characterise a model of time-varying networks with tunable modularity. Within this framework, we…

Physics and Society · Physics 2017-10-05 Matthieu Nadini , Kaiyuan Sun , Enrico Ubaldi , Michele Starnini , Alessandro Rizzo , Nicola Perra

We study the class of SIS epidemics on temporal networks and propose a new activity-driven and adaptive epidemic model that captures the impact of asymptomatic and infectious individuals in the network. In the proposed model, referred to as…

Physics and Society · Physics 2020-08-04 Ashish R. Hota , Kavish Gupta

In temporal networks, both the topology of the underlying network and the timings of interaction events can be crucial in determining how some dynamic process mediated by the network unfolds. We have explored the limiting case of the speed…

Physics and Society · Physics 2012-05-28 Mikko Kivelä , Raj Kumar Pan , Kimmo Kaski , János Kertész , Jari Saramäki , Márton Karsai

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

Multi-layered networks represent a major advance in the description of natural complex systems, and their study has shed light on new physical phenomena. Despite its importance, however, the role of the temporal dimension in their structure…

Physics and Society · Physics 2017-09-07 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras

Mathematical modeling of epidemic propagation on networks is extended to hypergraphs in order to account for both the community structure and the nonlinear dependence of the infection pressure on the number of infected neighbours. The exact…

Dynamical Systems · Mathematics 2016-10-31 Ágnes Bodó , Gyula Y. Katona , Péter L. Simon

Network-based models of epidemic spread have become increasingly popular in recent decades. Despite a rich foundation of such models, few low-dimensional systems for modeling SIS-type diseases have been proposed that manage to capture the…

Dynamical Systems · Mathematics 2021-01-01 Carl Corcoran , Alan Hastings

In spite of the study of epidemic dynamics on single-layer networks has received considerable attention, the epidemic dynamics on multiplex networks is still limited and is facing many challenges. In this work, we consider the…

Statistical Mechanics · Physics 2021-11-03 Huan Wang , Chuang Ma , Hanshuang Chen , Haifeng Zhang

We present a modelling framework for the spreading of epidemics on temporal networks from which both the individual-based and pair-based models can be recovered. The proposed temporal pair-based model that is systematically derived from…

Physics and Society · Physics 2020-11-17 Rory Humphries , Kieran Mulchrone , Jamie Tratalos , Simon More , Philipp Hövel

Using the continuous-time susceptible-infected-susceptible (SIS) model on networks, we investigate the problem of inferring the class of the underlying network when epidemic data is only available at population-level (i.e. the number of…

Populations and Evolution · Quantitative Biology 2019-12-05 F. Di Lauro , J. -C. Croix , M. Dashti , L. Berthouze , I. Z. Kiss

Empirical studies suggest that contact patterns follow heterogeneous inter-event times, meaning that intervals of high activity are followed by periods of inactivity. Combined with birth and death of individuals, these temporal constraints…

Physics and Society · Physics 2013-03-25 Luis Enrique Correa Rocha , Vincent D. Blondel

The Susceptible-Infected-Recovered (SIR) model is studied in multilayer networks with arbitrary number of links across the layers. By following the mapping to bond percolation we give the analytical expression for the epidemic threshold and…

Populations and Evolution · Quantitative Biology 2017-03-09 Ginestra Bianconi

Time-varying network topologies can deeply influence dynamical processes mediated by them. Memory effects in the pattern of interactions among individuals are also known to affect how diffusive and spreading phenomena take place. In this…

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