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This paper investigates the effects of vaccination on the dynamics of infectious disease, which is spreading in a population concurrently with awareness. The model considers contributions to the overall awareness from a global information…

Quantitative Methods · Quantitative Biology 2018-05-14 G. O. Agaba , Y. N. Kyrychko , K. B. Blyuss

We study how the herd immunity threshold and the expected epidemic size depend on homophily with respect to vaccine adoption. We find that the presence of homophily considerably increases the critical vaccine coverage needed for herd…

Physics and Society · Physics 2025-09-03 Takayuki Hiraoka , Abbas K. Rizi , Mikko Kivelä , Jari Saramäki

Network-based intervention strategies can be effective and cost-efficient approaches to curtailing harmful contagions in myriad settings. As studied, these strategies are often impractical to implement, as they typically assume complete…

Physics and Society · Physics 2020-09-09 Samuel F. Rosenblatt , Jeffrey A. Smith , G. Robin Gauthier , Laurent Hébert-Dufresne

Two versions of the susceptible-infected-susceptible epidemic model, which have different transmission rules, are analysed. Both models are considered on a weighted network to simulate a mitigation in the connection between the individuals.…

Statistical Mechanics · Physics 2021-02-10 C. Dias , M. O. Hase

We present a finite-size scaling theory of a contact process with permanent immunity on uncorrelated scale-free networks. We model an epidemic outbreak by an analog of the susceptible-infected-removed model where an infected individual…

Statistical Mechanics · Physics 2022-12-20 D. S. M. Alencar , T. F. A. Alves , F. W. S. Lima , G. A. Alves , A. Macedo-Filho , R. S. Ferreira

The ability to directly record human face-to-face interactions increasingly enables the development of detailed data-driven models for the spread of directly transmitted infectious diseases at the scale of individuals. Complete coverage of…

We investigate stochastic extinction in an epidemic model and the impact of random vaccinations in large populations formulated in terms of an optimal escape path. We find that different random vaccination strategies can have widely…

Biological Physics · Physics 2007-11-12 Alexandra S. Landsman , Ira B. Schwartz

We introduce a multi-layer networked compartmental $SIRS-V_o$ model that captures opinion dynamics, disease spread, risk perception, and self-interest vaccine-uptake behavior in an epidemic process. We characterize the target vaccination…

Physics and Society · Physics 2023-04-26 Humphrey Leung , Zhuocong Li , Baike She , Philip E. Paré

We study a susceptible-vaccinated--infected--recovered (SVIR) epidemic-spreading model with diversity of infection rate of the individuals. By means of analytical arguments as well as extensive computer simulations, we demonstrate that the…

Physics and Society · Physics 2013-12-05 Chao-Ran Cai , Zhi-Xi wu , Jian-Yue Guan

The study of complex networks sheds light on the relation between the structure and function of complex systems. One remarkable result is the absence of an epidemic threshold in infinite-size scale-free networks, which implies that any…

Physics and Society · Physics 2009-10-08 S. Meloni , A. Arenas , Y. Moreno

We study stationary epidemic processes in scale-free networks with local awareness behavior adopted by only susceptible, only infected, or all nodes. We find that while the epidemic size in the susceptible-aware and the all-aware models…

Physics and Society · Physics 2025-03-07 Csegő Balázs Kolok , Gergely Ódor , Dániel Keliger , Márton Karsai

COVID-19 pandemic is one of the major disasters that humanity has ever faced. In this paper, we try to model the effect of vaccination in controlling the pandemic, particularly in context to the third wave which is predicted to hit…

Populations and Evolution · Quantitative Biology 2022-07-27 Sourav Chowdhury , Suparna Roychowdhury , Indranath Chaudhuri

The vanishing epidemic threshold for viruses spreading on scale-free networks indicate that traditional methods, aiming to decrease a virus' spreading rate cannot succeed in eradicating an epidemic. We demonstrate that policies that…

Statistical Mechanics · Physics 2009-11-07 Zoltan Dezso , Albert-Laszlo Barabasi

Most agent-based models include a social network that describes the structure of interactions within the artificial population. Because of the dramatic impact of this structure on the simulated dynamics, modelers create this network for it…

Physics and Society · Physics 2020-02-11 Samuel Thiriot

Knowing the true effect size of clinical interventions in randomised clinical trials is key to informing the public health policies. Vaccine efficacy is defined in terms of the relative risk or the ratio of two disease risks. However, only…

Methodology · Statistics 2021-02-03 Yasin Memari

In contemporary society, social networks accelerate decision dynamics causing a rapid switch of opinions in a number of fields, including the prevention of infectious diseases by means of vaccines. This means that opinion dynamics can…

Populations and Evolution · Quantitative Biology 2023-11-06 Rossella Della Marca , Alberto d'Onofrio , Mattia Sensi , Sara Sottile

Given a network of nodes, minimizing the spread of a contagion using a limited budget is a well-studied problem with applications in network security, viral marketing, social networks, and public health. In real graphs, virus may infect a…

Discrete Mathematics · Computer Science 2017-11-03 Muhammad Ahmad , Juvaria Tariq , Mudassir Shabbir , Imdadullah Khan

By analysing the diffusive dynamics of epidemics and of distress in complex networks, we study the effect of the assortativity on the robustness of the networks. We first determine by spectral analysis the thresholds above which…

Physics and Society · Physics 2012-11-26 Gregorio D'Agostino , Antonio Scala , Vinko Zlatić , Guido Caldarelli

Compartmental models have long served as important tools in mathematical epidemiology, with their usefulness highlighted by the recent COVID-19 pandemic. However, most of the classical models fail to account for certain features of this…

Dynamical Systems · Mathematics 2023-08-21 Monique Chyba , Taylor Klotz , Yuriy Mileyko , Corey Shanbrom

We study the persistent recoverable prevalence and the extinction of computer viruses via e-mails on a growing scale-free network with new users, which structure is estimated form real data. The typical phenomenon is simulated in a…

Statistical Mechanics · Physics 2009-11-10 Yukio Hayashi , Masato Minoura , Jun Matsukubo
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