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In temperate climates, mortality is seasonal with a winter-dominant pattern, due in part to pneumonia and influenza. Cardiac causes, which are the leading cause of death in the United States, are also winter-seasonal although it is not…

Applications · Statistics 2017-11-17 Tina Ho , Andrew Noymer

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

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 propose a framework for the description of the effects of vaccinations on the spreading of an epidemic disease. Different vaccines can be dosed, each providing different immunization times and immunization levels. Differences due to…

Analysis of PDEs · Mathematics 2024-07-23 Rinaldo M. Colombo , Mauro Garavello

Inspired by Minority Games, we constructed a novel individual-level game of adaptive decision-making based on the dilemma of deciding whether to participate in voluntary influenza vaccination programs. The proportion of the population…

Populations and Evolution · Quantitative Biology 2007-05-23 Raffaele Vardavas , Romulus Breban , Sally Blower

We propose a model of the immunity to a cyclical epidemic disease taking account not only of seasonal boosts during the infectious season, but also of residual immunity remaining from one season to the next. The focus is on the exponential…

Populations and Evolution · Quantitative Biology 2024-04-22 Siyu Chen , David Sankoff

The way diseases spread through schools, epidemics through countries, and viruses through the Internet is crucial in determining their risk. Although each of these threats has its own characteristics, its underlying network determines the…

Physics and Society · Physics 2011-12-20 Christian M. Schneider , Tamara Mihaljev , Shlomo Havlin , Hans J. Herrmann

Infectious diseases are one of the leading causes of morbidity and mortality around the world; thus, forecasting their impact is crucial for planning an effective response strategy. According to the Centers for Disease Control and…

Populations and Evolution · Quantitative Biology 2015-05-18 Kyle S. Hickmann , Geoffrey Fairchild , Reid Priedhorsky , Nicholas Generous , James M. Hyman , Alina Deshpande , Sara Y. Del Valle

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

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

In temperate regions, respiratory virus epidemics recur on a yearly basis, primarily during the winter season. This is believed to be induced by seasonal forcing, where the rate at which the virus can be transmitted varies cyclically across…

Populations and Evolution · Quantitative Biology 2026-04-28 Ruarai J Tobin , James M McCaw , Freya M Shearer

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

Seasonal influenza epidemics cause consistent, considerable, widespread loss annually in terms of economic burden, morbidity, and mortality. With access to accurate and reliable forecasts of a current or upcoming influenza epidemic's…

Populations and Evolution · Quantitative Biology 2016-02-17 Logan C. Brooks , David C. Farrow , Sangwon Hyun , Ryan J. Tibshirani , Roni Rosenfeld

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

Epidemiological data on seasonal influenza show that the growth rate of the number of infected individuals can increase passing from one exponential growth rate to another one with a larger exponent. Such behavior is not described by…

Populations and Evolution · Quantitative Biology 2020-04-01 Malay Banerjee , Alexey Tokarev , Vitaly Volpert

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

Influenza remains a significant burden on health systems. Effective responses rely on the timely understanding of the magnitude and the evolution of an outbreak. For monitoring purposes, data on severe cases of influenza in England are…

In the face of serious infectious diseases, governments endeavour to implement containment measures such as public vaccination at a macroscopic level. Meanwhile, individuals tend to protect themselves by avoiding contacts with infections at…

Physics and Society · Physics 2016-10-20 Xiao-Long Peng , Xin-Jian Xu , Michael Small , Xinchu Fu , Zhen Jin

Vaccination is widely recognized as the most effective way of immunization against many infectious diseases. However, unfounded claims about supposed side effects of some vaccines have contributed to spread concern and fear among people,…

Physics and Society · Physics 2014-12-03 A. D. Medus , C. O. Dorso

We consider the interplay of vaccination and migration rates on disease persistence in epidemiological systems. We show that short-term and long-term migration can inhibit disease persistence. As a result, we show how migration changes how…

Biological Physics · Physics 2012-05-22 Jackson Burton , Lora Billings , Derek A. T. Cummings , Ira B. Schwartz