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Related papers: Herd Immunity and Epidemic Size in Networks with V…

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Population heterogeneity, especially in individuals' contact networks, plays an important role in transmission dynamics of infectious diseases. For vaccine-preventable diseases, outstanding issues like vaccine hesitancy and availability of…

Populations and Evolution · Quantitative Biology 2022-12-29 Alina Glaubitz , Feng Fu

Herd immunity is shaped not only by the infection capacity of a spreading epidemic or the contact structure of the hosting population, but also by how and under what circumstances individuals acquire immunity. Immunization strategies may…

Physics and Society · Physics 2026-02-20 Sámuel G. Balogh , Gergely Ódor , Márton Karsai

We model and calculate the fraction of infected population necessary to reach herd immunity, taking into account the heterogeneity in infectiousness and susceptibility, as well as the correlation between those two parameters. We show that…

Populations and Evolution · Quantitative Biology 2021-01-19 Yaron Oz , Ittai Rubinstein , Muli Safra

The success of a vaccination program is crucially dependent on its adoption by a critical fraction of the population, as the resulting herd immunity prevents future outbreaks of an epidemic. However, the effectiveness of a campaign can…

Physics and Society · Physics 2019-07-02 Anupama Sharma , Shakti N. Menon , V. Sasidevan , Sitabhra Sinha

We interpret attitudes towards science and pseudosciences as cultural traits that diffuse in society through communication efforts exerted by agents. We present a tractable model that allows us to study the interaction among the diffusion…

Populations and Evolution · Quantitative Biology 2021-06-14 Matteo Bizzarri , Fabrizio Panebianco , Paolo Pin

Complex networks such as the sexual partnership web or the Internet often show a high degree of redundancy and heterogeneity in their connectivity properties. This peculiar connectivity provides an ideal environment for the spreading of…

Statistical Mechanics · Physics 2009-11-07 Romualdo Pastor-Satorras , Alessandro Vespignani

When a fraction of a population becomes immune to an infectious disease, the population-wide infection risk decreases nonlinearly due to collective protection, known as herd immunity. Some studies based on mean-field models suggest that…

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

The shape of an epidemic wave in simple epidemic models applies to a homogeneous distribution of infected people in the population. In large inhomogeneous systems, at country-scale for instance, the wave shape is similar except for the…

Chemical Physics · Physics 2022-11-21 L. Vanel

The propagation of model epidemics on a small-world network under the action of immunization is studied. Although the connectivity in this kind of networks is rather uniform, a vaccination strategy focused on the best connected individuals…

Statistical Mechanics · Physics 2009-11-07 Damian H. Zanette , Marcelo Kuperman

Heterogeneity of population is a key factor in modeling the transmission of disease among the population and has huge impact on the outcome of the transmission. In order to investigate the decision making process in the heterogeneous mixing…

Populations and Evolution · Quantitative Biology 2024-03-01 Fan Bai , Qianyu Chen , Yizhuo Xu

Vaccination is crucial for the control of epidemics. Yet it is a social dilemma since non-vaccinators can benefit from the herd immunity created by the vaccinators. Thus the optimum vaccination level is not reached via voluntary vaccination…

Populations and Evolution · Quantitative Biology 2019-02-06 Yuting Wei , Yaosen Lin , Bin Wu

Motivated by massive outbreaks of COVID-19 that occurred even in populations with high vaccine uptake, we propose a novel multi-population temporal network model for the spread of recurrent epidemic diseases. We study the effect of human…

Dynamical Systems · Mathematics 2022-09-19 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

Physical contacts do not occur randomly, rather, individuals with similar socio-demographic and behavioural characteristics are more likely to interact among them, a phenomenon known as homophily. Concurrently, the same characteristics…

Physics and Society · Physics 2021-12-16 Giulio Burgio , Benjamin Steinegger , Alex Arenas

Homophily -- the tendency of individuals to interact with similar others -- shapes how networks form and function. Yet existing approaches typically collapse homophily to a single scale, either one parameter for the whole network or one per…

Physics and Society · Physics 2025-12-16 Abbas K. Rizi , Riccardo Michielan , Clara Stegehuis , Mikko Kivelä

Vaccinations are an important tool in the prevention of disease. Vaccinations are generally voluntary for each member of a population and vaccination decisions are influenced by individual risk perceptions and contact structures within…

Physics and Society · Physics 2025-04-07 Kausutua Tjikundi , Mark Broom

The decision of whether or not to vaccinate is a complex one. It involves the contribution both to a social good -- herd immunity -- and to one's own well being. It is informed by social influence, personal experience, education, and mass…

Populations and Evolution · Quantitative Biology 2022-02-15 Soya Miyoshi , Marko Jusup , Petter Holme

We study a SEIR model considered by Gomes et al. \cite{Gomes2020} and Aguas et al. \cite{Aguas2020} where different individuals are assumed to have different levels of susceptibility or exposure to infection. Under this heterogeneity…

Populations and Evolution · Quantitative Biology 2022-05-10 Antonio Montalbán , Rodrigo M. Corder , M. Gabriela M. Gomes

We analyze the effect of homophily in the diffusion of a harmful state between two groups of agents that differ in immunization rates. Homophily has a very different impact on the steady state infection level (that is increasing in…

Theoretical Economics · Economics 2024-08-12 Matteo Bizzarri , Fabrizio Panebianco , Paolo Pin

In this work we analyze the evolution of voluntary vaccination in networked populations by entangling the spreading dynamics of an influenza-like disease with an evolutionary framework taking place at the end of each influenza season so…

Physics and Society · Physics 2013-09-11 Alessio Cardillo , Catalina Reyes-Suárez , Fernando Naranjo , Jesús Gómez-Gardeñes

We study the impact of vaccination on the risk of epidemics spreading through structured networks using the cavity method of statistical physics. We relax the assumption that vaccination prevents all transmission of a disease used in…

Physics and Society · Physics 2022-03-23 Christian John Hurry , Alexander Mozeika , Alessia Annibale
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