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Related papers: A Dynamic Epidemic Model for Rumor Spread in Multi…

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In this paper, we propose an SIR spread model in a population network coupled with an infrastructure network that has a pathogen spreading in it. We develop a threshold condition to characterize the monotonicity and peak time of a weighted…

Systems and Control · Electrical Eng. & Systems 2026-04-08 José I. Caiza , Junjie Qin , Philip E. Paré

The effect of spatial correlations on the spread of infectious diseases was investigated using a stochastic SIR (Susceptible-Infective-Recovered) model on complex networks. It was found that in addition to the reduction of the effective…

Populations and Evolution · Quantitative Biology 2007-05-23 J. Verdasca , M. M. Telo da Gama , A. Nunes , N. R. Bernardino , J. M. Pacheco , M. C. Gomes

Contact networks can significantly change the course of epidemics, affecting the rate of new infections and the mean size of an outbreak. Despite this dependence, some characteristics of epidemics are not contingent on the contact network…

Probability · Mathematics 2015-03-17 Alexander Gutfraind

We consider a stochastic Susceptible-Exposed-Infected-Recovered (SEIR) epidemiological model with a contact rate that fluctuates seasonally. Through the use of a nonlinear, stochastic projection, we are able to analytically determine the…

Populations and Evolution · Quantitative Biology 2013-09-11 Eric Forgoston , Ira B. Schwartz

We propose an extension of the classical susceptible infectious recovered (SIR) model that incorporates the effects of spatial propagation of an epidemic through a small number of additional compartments. The model is designed to capture…

Numerical Analysis · Mathematics 2026-03-02 M. Soledad Aronna , Mariana Bergonzi , Ernesto Kofman

The spread of rumors through social media and online social networks can not only disrupt the daily lives of citizens but also result in loss of life and property. A rumor spreads when individuals, who are unable decide the authenticity of…

Physics and Society · Physics 2014-04-29 Bhushan Kotnis , Joy Kuri

Comparing with single networks, the multiplex networks bring two main effects on the spreading process among individuals. First, the pathogen or information can be transmitted to more individuals through different layers at one time, which…

Physics and Society · Physics 2017-11-29 Ming Li , Run-Ran Liu , Dan Peng , Chun-Xiao Jia , Bing-Hong Wang

The course of an epidemic is not only shaped by infection transmission over face-to-face contacts, but also by preventive behaviour caused by risk perception and social interactions. This study explores the dynamics of coupled awareness and…

Physics and Society · Physics 2025-02-24 Tim Van Wesemael , Luis E. C. Rocha , Jan M. Baetens

Epidemic spreading and cascading failure are two important dynamical processes over complex networks. They have been investigated separately for a long history. But in the real world, these two dynamics sometimes may interact with each…

Physics and Society · Physics 2015-06-19 Lurong Jiang , Xinyu Jin , Yongxiang Xia , Bo Ouyang , Duanpo Wu

Spreading dynamics of information and diseases are usually analyzed by using a unified framework and analogous models. In this paper, we propose a model to emphasize the essential difference between information spreading and epidemic…

Physics and Society · Physics 2015-05-28 Linyuan Lü , Duan-Bing Chen , Tao Zhou

One of the most effective strategies to mitigate the global spreading of a pandemic (e.g., COVID-19) is to shut down international airports. From a network theory perspective, this is since international airports and flights, essentially…

Physics and Society · Physics 2023-10-24 Jing Ma , Xiangyi Meng , Lidia A. Braunstein

Motivated by our intention to use SIR-type epidemiological models in the context of dynamic networks as provided by large-scale highly interacting inhomogeneous human crowds, we investigate in this framework possibilities to reduce the…

Statistical Mechanics · Physics 2021-03-16 Matteo Colangeli , Adrian Muntean

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

Spreading processes have been largely studied in the literature, both analytically and by means of large-scale numerical simulations. These processes mainly include the propagation of diseases, rumors and information on top of a given…

Physics and Society · Physics 2019-05-10 Guilherme Ferraz de Arruda , Francisco A. Rodrigues , Yamir Moreno

The diffusion of information and behaviors over social networks is of considerable interest in research fields ranging from sociology to computer science and application domains such as marketing, finance, human health, and national…

Adaptation and Self-Organizing Systems · Physics 2009-12-31 Richard Colbaugh , Kristin Glass

We introduce a modified SIR model with memory for the dynamics of epidemic spreading in a constant population of individuals. Each individual is in one of the states susceptible (${\bf S}$), infected (${\bf I}$) or recovered (${\bf R}$). In…

Populations and Evolution · Quantitative Biology 2022-03-03 Michael Bestehorn , Thomas M. Michelitsch , Bernard A. Collet , Alejandro P. Riascos , Andrzej F. Nowakowski

Realistic human contact networks capable of spreading infectious disease, for example studied in social contact surveys, exhibit both significant degree heterogeneity and clustering, both of which greatly affect epidemic dynamics. To…

Populations and Evolution · Quantitative Biology 2018-10-16 A. Bishop , I. Z. Kiss , T. House

Physical contacts result in the spread of various phenomena such as viruses, gossips, ideas, packages and marketing pamphlets across a population. The spread depends on how people move and co-locate with each other, or their mobility…

Social and Information Networks · Computer Science 2021-12-20 Sepanta Zeighami , Cyrus Shahabi , John Krumm

Current modeling of infectious diseases allows for the study of complex and realistic scenarios that go from the population to the individual level of description. However, most epidemic models assume that the spreading process takes place…

Physics and Society · Physics 2015-04-15 Joaquín Sanz , Cheng-Yi Xia , Sandro Meloni , Yamir Moreno

Understanding the dynamics of the spread of diseases within populations is critical for effective public health interventions. We extend the classical SIR model by incorporating additional complexities such as the introduction of a cure and…

Populations and Evolution · Quantitative Biology 2025-10-30 Daniel Perkins , Davis Hunter , Drake Brown , Trevor Garrity , Wyatt Pochman