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Besides mimicking bio-chemical and multi-scale communication mechanisms, molecular communication forms a theoretical framework for virus infection processes. Towards this goal, aerosol and droplet transmission has recently been modeled as a…

Information Theory · Computer Science 2021-01-29 Peter Adam Hoeher , Martin Damrath , Sunasheer Bhattacharjee , Max Schurwanz

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

An individual-based model of the infectious disease spread among the urban population is considered. A system of stochastic equations, which describes changes in quantities of four population groups, susceptible, exposed, infected…

Populations and Evolution · Quantitative Biology 2011-11-11 Vasiliy Leonenko

We show existence of a non-trivial phase transition for the contact process, a simple model for infection without immunity, on a network which reacts dynamically to the infection trying to prevent an epidemic. This network initially has the…

Probability · Mathematics 2023-12-12 John Fernley , Peter Mörters , Marcel Ortgiese

It is known that diffusion provokes substantial changes in continuous absorbing phase transitions. Conversely, its effect on discontinuous transitions is much less understood. In order to shed light in this direction, we study the inclusion…

Statistical Mechanics · Physics 2014-09-25 Carlos E. Fiore , Gabriel T. Landi

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 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

Contagious processes, such as spread of infectious diseases, social behaviors, or computer viruses, affect biological, social, and technological systems. Epidemic models for large populations and finite populations on networks have been…

Optimization and Control · Mathematics 2020-04-14 Renato Pagliara , Naomi E. Leonard

We explore how heterogeneity in the intensity of interactions between people affects epidemic spreading. For that, we study the susceptible-infected-susceptible model on a complex network, where a link connecting individuals $i$ and $j$ is…

Physics and Society · Physics 2013-08-28 C. Buono , F. Vazquez , P. A. Macri , L. A. Braunstein

The critical behavior of the non-diffusive susceptible-infected-recovered model on lattices had been well established in virtue of its duality symmetry. By performing simulations and scaling analyses for the diffusive variant on the…

Statistical Mechanics · Physics 2023-01-23 Shengfeng Deng , Géza Ódor

This paper studies epidemic processes over discrete-time periodic time-varying networks. We focus on the susceptible-infected-susceptible (SIS) model that accounts for a (possibly) mutating virus. We say that an agent is in the disease-free…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Sebin Gracy , Philip. E. Pare , Henrik Sandberg , Karl Henrik Johansson

In this work we study a model of tax evasion. We considered a fixed population divided in three compartments, namely honest tax payers, tax evaders and a third class between the mentioned two, which we call \textit{susceptibles} to become…

Physics and Society · Physics 2017-05-24 Rafael M. Brum , Nuno Crokidakis

The spread of one disease, in some cases, can stimulate the spreading of another infectious disease. Here, we treat analytically a symmetric coinfection model for spreading of two diseases on a two-layer multiplex network. We allow layer…

Physics and Society · Physics 2016-04-20 N. Azimi-Tafreshi

This manuscript introduces a new analytical approach for studying the time evolution of disease spread on a finite size network. Our methodology can accommodate any disease with a general infectivity profile. This new approach is able to…

Statistical Mechanics · Physics 2010-05-25 B. Davoudi , B. Pourbohloul

Many dynamic processes on complex networks, from disease outbreaks to cascading failures, can rapidly accelerate once a critical threshold is exceeded, potentially leading to severe social and economic costs. Therefore, in order to develop…

Physics and Society · Physics 2025-04-17 L. D. Valdez

Human contact networks are constituted by a multitude of individuals and pairwise contacts among them. However, the dynamic nature, which generates the evolution of human contact networks, of contact patterns is not known yet. Here, we…

Physics and Society · Physics 2019-05-22 Cong Li , Jing Li , Xiang Li

Models of spread processes over non-trivial networks are commonly motivated by modeling and analysis of biological networks, computer networks, and human contact networks. However, identification of such models has not yet been explored in…

Optimization and Control · Mathematics 2020-01-27 Philip E. Pare , Ji Liu , Carolyn L. Beck , Barret E. Kirwan , Tamer Basar

Epidemiological models describe the spread of an infectious disease within a population. They capture microscopic details on how the disease is passed on among individuals in various different ways, while making predictions about the state…

Populations and Evolution · Quantitative Biology 2024-02-27 Stefan Hohenegger , Francesco Sannino

Addictive behavior spreads through social networks via feedback among choice, peer pressure, and shifting ties, a process that eludes standard epidemic models. We present a comprehensive multi-state network model that integrates…

Physics and Society · Physics 2025-06-30 Hsuan-Wei Lee , Yi-Hsuan Huang , Nishant Malik

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
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