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We investigate the dynamics of an epidemiological susceptible-infected-susceptible (SIS) model on an adaptive network. This model combines epidemic spreading (dynamics on the network) with rewiring of network connections (topological…

Adaptation and Self-Organizing Systems · Physics 2008-06-14 Thilo Gross , Ioannis G. Kevrekidis

The epidemic spreading on arbitrary complex networks is studied in SIR (Susceptible Infected Recovered) compartment model. We propose our implementation of a Naive SIR algorithm for epidemic simulation spreading on networks that uses data…

Data Structures and Algorithms · Computer Science 2015-03-20 Nino Antulov-Fantulin , Alen Lancic , Hrvoje Stefancic , Mile Sikic

Dynamics on networks is considered from the perspective of Markov stochastic processes. We partially describe the state of the system through network motifs and infer any missing data using the available information. This versatile approach…

Epidemic models on complex networks have been widely used to study how the social structure of a population affect the spreading of epidemics. However, their numerical simulation can be computationally heavy, especially for large networks.…

Physics and Society · Physics 2025-06-10 Samuel Cure , Florian G. Pflug , Simone Pigolotti

We propose a new paradigm to design a network-based self-adaptive epidemic model that relies on the interplay between the network and its line graph. We implement this proposal on a Susceptible-Infected-Susceptible model in which both nodes…

Adaptation and Self-Organizing Systems · Physics 2024-03-05 Paolo Bartesaghi , Gian Paolo Clemente , Rosanna Grassi

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

In this paper, we study the dynamics of epidemic processes taking place in adaptive networks of arbitrary topology. We focus our study on the adaptive susceptible-infected-susceptible (ASIS) model, where healthy individuals are allowed to…

Social and Information Networks · Computer Science 2016-06-29 Masaki Ogura , Victor M. Preciado

Network epidemiology has become a core framework for investigating the role of human contact patterns in the spreading of infectious diseases. In network epidemiology represents the contact structure as a network of nodes (individuals)…

Populations and Evolution · Quantitative Biology 2014-06-10 Petter Holme

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

This paper considers the classical Susceptible--Infected--Susceptible (SIS) network epidemic model, which describes a disease spreading through $n$ nodes, with the network links governing the possible transmission pathways of the disease…

Systems and Control · Electrical Eng. & Systems 2023-05-29 Liam Walsh , Mengbin Ye , Brian D. O. Anderson , Zhiyong Sun

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

One of the popular dynamics on complex networks is the epidemic spreading. An epidemic model describes how infections spread throughout a network. Among the compartmental models used to describe epidemics, the…

Physics and Society · Physics 2011-07-14 Faryad Darabi Sahneh , Caterina Scoglio

Stochastic processes can model many emerging phenomena on networks, like the spread of computer viruses, rumors, or infectious diseases. Understanding the dynamics of such stochastic spreading processes is therefore of fundamental interest.…

Social and Information Networks · Computer Science 2019-01-07 Gerrit Großmann , Verena Wolf

We present a computational modeling framework for data-driven simulations and analysis of infectious disease spread in large populations. For the purpose of efficient simulations, we devise a parallel solution algorithm targeting…

Populations and Evolution · Quantitative Biology 2018-02-19 Pavol Bauer , Stefan Engblom , Stefan Widgren

Self-adaptive dynamics occurs in many physical systems such as socio-economics, neuroscience, or biophysics. We formalize a self-adaptive modeling approach, where adaptation takes place within a set of strategies based on the history of the…

Adaptation and Self-Organizing Systems · Physics 2022-04-01 Konstantin Clauß , Christian Kuehn

Global transport and communication networks enable information, ideas and infectious diseases now to spread at speeds far beyond what has historically been possible. To effectively monitor, design, or intervene in such epidemic-like…

Physics and Society · Physics 2020-02-13 Sam Moore , Tim Rogers

The Susceptible-Infectious-Recovered (SIR) model is the canonical model of epidemics of infections that make people immune upon recovery. Many of the open questions in computational epidemiology concern the underlying contact structure's…

Physics and Society · Physics 2021-06-09 Petter Holme

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…

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, and reconnecting those links with the rest of the…

Physics and Society · Physics 2007-07-11 Damian H. Zanette

We present a strategy for designing fast methods of response to cyber attacks and infection spread on complex weighted networks. In these networks, nodes can be interpreted as primitive elements of the system, and weighted edges reflect the…

Social and Information Networks · Computer Science 2015-03-20 Sven Leyffer , Ilya Safro
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