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In this work we propose and investigate a new strategy of vaccination, which we call "dynamic vaccination". In our model, susceptible people become aware that one or more of their contacts are infected, and thereby get vaccinated with…

Physics and Society · Physics 2019-01-09 L. G. Alvarez-Zuzek , M. A. Di Muro , S. Havlin , L. A. Braunstein

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

Populations and Evolution · Quantitative Biology 2021-02-09 Luis E C Rocha , Naoki Masuda

Despite high vaccine coverage, pertussis has re-emerged as a public health concern in many countries. One hypothesis posed for re-emergence is the waning of immunity. In some disease systems, the process of waning immunity can be…

Populations and Evolution · Quantitative Biology 2017-08-10 Tiffany Leung , Barry D Hughes , Federico Frascoli , Patricia T Campbell , James M McCaw

Epidemics seldom occur as isolated phenomena. Typically, two or more viral agents spread within the same host population and may interact dynamically with each other. We present a general model where two viral agents interact via an…

We present two new models for interacting populations subject to a transmissible disease. The novelty lies in the assumption that herd behavior influences the disease incidence, rather than the demographic description of the interactions,…

Dynamical Systems · Mathematics 2014-05-19 Ezio Venturino

In this study, we present an immuno-epidemic model to understand mitigation options during an epidemic break. The model incorporates comorbidity and multiple-vaccine doses through a system of coupled integro-differential equations to…

Populations and Evolution · Quantitative Biology 2025-05-28 Samiran Ghosh , Malay Banerjee , Amit K Chattopadhyay

The colocation of individuals in different environments is an important prerequisite for exposure to infectious diseases on a social network. Standard epidemic models fail to capture the potential complexity of this scenario by (1)…

Physics and Society · Physics 2021-10-13 Guillaume St-Onge , Hanlin Sun , Antoine Allard , Laurent Hébert-Dufresne , Ginestra Bianconi

We study numerically how the structures of distinct networks influence the epidemic dynamics in contact process. We first find that the variability difference between homogeneous and heterogeneous networks is very narrow, although the…

Physics and Society · Physics 2012-04-04 Kai Gong , Ming Tang , Hui Yang , Mingsheng Shang

We find that different geographical structures of networks lead to varied percolation thresholds, although these networks may have similar abstract topological structures. Thus, the strategies for enhancing robustness and immunization of a…

Physics and Society · Physics 2009-09-29 Liang Huang , Lei Yang , Kongqing Yang

We study the effects of switching social contacts as a strategy to control epidemic outbreaks. Connections between susceptible and infective individuals can be broken by either individual, and then reconnected to a randomly chosen member of…

Populations and Evolution · Quantitative Biology 2008-06-12 Sebastian Risau-Gusman , Damian H. Zanette

We consider the problem of distributing a vaccine for immunizing a scale-free network against a given virus or worm. We introduce a new method, based on vaccine dissemination, that seems to reflect more accurately what is expected to occur…

Networking and Internet Architecture · Computer Science 2007-05-23 Alexandre O. Stauffer , Valmir C. Barbosa

We investigate methods to vaccinate contact networks -- i.e. removing nodes in such a way that disease spreading is hindered as much as possible -- with respect to their cost-efficiency. Any real implementation of such protocols would come…

Populations and Evolution · Quantitative Biology 2017-11-01 Petter Holme , Nelly Litvak

We investigate how a population's natural and vaccine immunity affects the competitive balance between two strains of an infectious disease with different epidemiological characteristics. Specifically, we consider the case where one strain…

Dynamical Systems · Mathematics 2023-12-27 Matthew D. Johnston , Bruce Pell , Jared Pemberton , David A. Rubel

The most frequent infectious diseases in humans - and those with the highest potential for rapid pandemic spread - are usually transmitted via droplets during close proximity interactions (CPIs). Despite the importance of this transmission…

We consider a vaccination game that results with the introduction of premature and possibly scarce vaccines introduced in a desperate bid to combat the otherwise ravaging deadly pandemic. The response of unsure agents amid many…

Dynamical Systems · Mathematics 2021-09-14 Vartika Singh , Khushboo Agarwal , Shubham , Veeraruna Kavitha

SIR models, also with age structure, can be used to describe the evolution of an infective disease. A vaccination campaign influences this dynamics immunizing part of the susceptible individuals, essentially turning them into recovered…

Analysis of PDEs · Mathematics 2019-10-17 Rinaldo M. Colombo , Mauro Garavello

Capturing the structure of a population and characterising contacts within the population are key to reliable projections of infectious disease. Two main elements of population structure -- contact heterogeneity and age -- have been…

Physics and Society · Physics 2025-03-17 Luke Murray Kearney , Emma L. Davis , Matt J. Keeling

A population can be immune to epidemics even if not all of its individual members are immune to the disease, so long as sufficiently many are immune - this is the traditional notion of herd immunity. In the smartphone era a population can…

Statistical Mechanics · Physics 2021-08-24 Vir B. Bulchandani , Saumya Shivam , Sanjay Moudgalya , S. L. Sondhi

The limited availability of COVID-19 vaccines has prompted extensive research on optimal vaccination strategies. Previous studies have considered various non-pharmaceutical interventions, vaccine efficacy, and distribution strategies. In…

Populations and Evolution · Quantitative Biology 2025-02-27 Iker Atienza-Diez , Gabriel Rodriguez-Maroto , Saúl Ares , Susanna Manrubia

In epidemic modeling, the term infection strength indicates the ratio of infection rate and cure rate. If the infection strength is higher than a certain threshold -- which we define as the epidemic threshold - then the epidemic spreads…

Physics and Society · Physics 2012-12-19 Faryad Darabi Sahneh , Caterina Scoglio , Fahmida N. Chowdhury