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We propose an epidemic model for the spread of vector-borne diseases. The model, which is built extending the classical susceptible-infected-susceptible model, accounts for two populations -- humans and vectors -- and for cross-contagion…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Lorenzo Zino , Alessandro Casu , Alessandro Rizzo

Infection dynamics have been studied extensively on complex networks, yielding insight into the effects of heterogeneity in contact patterns on disease spread. Somewhat separately, metapopulations have provided a paradigm for modeling…

Physics and Society · Physics 2013-08-09 Jason Hindes , Sarabjeet Singh , Christopher R. Myers , David J. Schneider

Pandemics can cause immense disruption and damage to communities and societies. Thus far, modeling of pandemics has focused on either large-scale difference equation models like the SIR and the SEIR models, or detailed micro-level…

Multiagent Systems · Computer Science 2010-07-27 Teruhiko Yoneyama , Sanmay Das , Mukkai Krishnamoorthy

We numerically study the dynamics of the SIR disease model on small-world networks by using a large-deviation approach. This allows us to obtain the probability density function of the total fraction of infected nodes and of the maximum…

Physics and Society · Physics 2022-09-01 Yannick Feld , Alexander K. Hartmann

Understanding the dynamics of infectious disease spread in a heterogeneous population is an important factor in designing control strategies. Here, we develop a novel tensor-driven multi-compartment version of the classic…

Populations and Evolution · Quantitative Biology 2020-04-22 Inbar Seroussi , Nir Levy , Elad Yom-Tov

Epidemic models are increasingly used in real-world networks to understand diffusion phenomena (such as the spread of diseases, emotions, innovations, failures) or the transport of information (such as news, memes in social on-line…

Physics and Society · Physics 2016-12-06 Piet Van Mieghem

Although there is always an interplay between the dynamics of information diffusion and disease spreading, the empirical research on the systemic coevolution mechanisms connecting these two spreading dynamics is still lacking. Here we…

Physics and Society · Physics 2016-07-07 Wei Wang , Quan-Hui Liu , Shi-Min Cai , Ming Tang , Lidia A. Braunstein , H. Eugene Stanley

A model for epidemic spreading on rewiring networks is introduced and analyzed for the case of scale free steady state networks. It is found that contrary to what one would have naively expected, the rewiring process typically tends to…

Physics and Society · Physics 2013-05-29 Yonathan Schwarzkopf , Attila Rakos , David Mukamel

We study a dynamic infection spread model, inspired by the discrete time SIR model, where infections are spread via non-isolated infected individuals. While infection keeps spreading over time, a limited capacity testing is performed at…

Methodology · Statistics 2022-01-25 Batuhan Arasli , Sennur Ulukus

In this work, we aim to formalize a novel scientific machine learning framework to reconstruct the hidden dynamics of the transmission rate, whose inaccurate extrapolation can significantly impair the quality of the epidemic forecasts, by…

Quantitative Methods · Quantitative Biology 2024-10-16 Giovanni Ziarelli , Stefano Pagani , Nicola Parolini , Francesco Regazzoni , Marco Verani

A probabilistic approach to the epidemic evolution on realistic social-contact networks allows for characteristic differences among subjects, including the individual number and structure of social contacts, and the heterogeneity of the…

Social and Information Networks · Computer Science 2022-02-11 Jan B. Broekaert , Davide La Torre , Faizal Hafiz

This paper studies a distributed continuous-time bi-virus model in which two competing viruses spread over a network consisting of multiple groups of individuals. Limiting behaviors of the network are characterized by analyzing the…

Optimization and Control · Mathematics 2019-01-04 Ji Liu , Philip E. Pare , Angelia Nedich , Choon Yik Tang , Carolyn L. Beck , Tamer Basar

The outbreak of a pandemic, such as COVID-19, causes major health crises worldwide. Typical measures to contain the rapid spread usually include effective vaccination and strict interventions (Nature Human Behaviour, 2021). Motivated by…

Social and Information Networks · Computer Science 2025-03-31 Gargi Bakshi , Sujoy Bhore , Suraj Shetiya

In this paper, we investigate the distributed link removal strategy for networked meta-population epidemics. In particular, a deterministic networked susceptible-infected-recovered (SIR) model is considered to describe the epidemic evolving…

Physics and Society · Physics 2020-06-30 Fangzhou Liu , Yuhong Chen , Tong Liu , Zibo Zhou , Dong Xue , Martin Buss

Mathematical models are instrumental to forecast the spread of pathogens and to evaluate the effectiveness of non-pharmaceutical measures. A plethora of optimal strategies has been recently developed to minimize either the infected peak…

Dynamical Systems · Mathematics 2021-11-11 J. Sereno , A. L. Anderson , A. Ferramosca , E. A. Hernandez-Vargas , A. H. Gonzalez

We study the SIR epidemic model with infections carried by $k$ particles making independent random walks on a random regular graph. Here we assume $k\leq n^{\epsilon}$, where $n$ is the number of vertices in the random graph, and $\epsilon$…

Probability · Mathematics 2015-03-18 Mohammed Abdullah , Colin Cooper , Moez Draief

The study of social networks, and in particular the spread of disease on networks, has attracted considerable recent attention in the physics community. In this paper, we show that a large class of standard epidemiological models, the…

Statistical Mechanics · Physics 2009-11-07 M. E. J. Newman

Current understanding of the critical outbreak condition on temporal networks relies on approximations (time scale separation, discretization) that may bias the results. We propose a theoretical framework to compute the epidemic threshold…

Physics and Society · Physics 2018-02-08 Eugenio Valdano , Michele Re Fiorentin , Chiara Poletto , Vittoria Colizza

We consider Susceptible-Infected-Recovered (SIR) models on dense dynamic random graphs, in which the joint dynamics of vertices and edges are co-evolutionary, i.e., they influence each other bidirectionally. In particular, edges appear and…

Probability · Mathematics 2026-02-17 Simone Baldassarri , Peter Braunsteins , Frank den Hollander , Michel Mandjes

We consider the class of SIS epidemic models in which a large population of individuals chooses whether to adopt protection or to remain unprotected as the epidemic evolves. For a susceptible individual, adopting protection reduces the…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Abhisek Satapathi , Narendra Kumar Dhar , Ashish R. Hota , Vaibhav Srivastava