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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

Often, vaccination programs are carried out based on self-interest rather than being mandatory. Owing to the perceptions about risks associated with vaccines and the `herd immunity' effect, it may provide suboptimal vaccination coverage for…

Physics and Society · Physics 2012-07-20 Hai-Feng Zhang , Zhi-Xi Wu , Xiao-Ke Xu , Michael Small , Bing-Hong Wang

Recent Covid-19 pandemic has demonstrated the need of efficient epidemic outbreak management. We study the optimal control problem of minimizing the fraction of infected population by applying vaccination and treatment control strategies,…

Social and Information Networks · Computer Science 2021-12-07 Jagtap Kalyani Devendra , Kundan Kandhway

In the context of SARS-CoV-2 pandemic, mathematical modelling has played a fundamental role for making forecasts, simulating scenarios and evaluating the impact of preventive political, social and pharmaceutical measures. Optimal control…

Optimization and Control · Mathematics 2022-11-01 Giovanni Ziarelli , Luca Dede' , Nicola Parolini , Marco Verani , Alfio Quarteroni

An insufficient supply of effective SARS-CoV-2 vaccine in most countries demands an effective vaccination strategy to minimize the damage caused by the disease. Currently, many countries vaccinate their population in descending order of age…

Physics and Society · Physics 2022-09-28 Bukyoung Jhun , Hoyun Choi

We consider the simple epidemiological SIS model for a general heterogeneous population introduced by Lajmanovich and Yorke (1976) in finite dimension, and its infinite dimensional generalization we introduced in previous works. In this…

Dynamical Systems · Mathematics 2022-11-29 Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

In this research, we develop a framework to analyze the interaction between the economy and the Covid-19 pandemic using an extension of SIR epidemic model. At the outset, we assume there are two health related investments including general…

Optimization and Control · Mathematics 2022-02-14 Zachariah Sinkala , Vajira Manathunga , Bichaka Fayissa

Miss-information is usually adjusted to fit distinct narratives and can propagate rapidly through communities of interest, which work as echo chambers, cause reinforcement and foster confirmation bias. False beliefs, once adopted, are…

Physics and Society · Physics 2020-09-30 Rafael Prieto Curiel , Humberto González Ramírez

The potential waning of the vaccination immunity to COVID-19 could pose threats to public health, as it is tenable that the timing of such waning would synchronize with the near-complete restoration of normalcy. Should also testing be…

Populations and Evolution · Quantitative Biology 2022-01-28 Agnieszka Truszkowska , Lorenzo Zino , Sachit Butail , Emanuele Caroppo , Zhong-Ping Jiang , Alessandro Rizzo , Maurizio Porfiri

The pursuit of strategies that minimize the number of individuals needing vaccination to control an outbreak is a well-established area of study in mathematical epidemiology. However, for certain diseases, public policy tends to prioritize…

Populations and Evolution · Quantitative Biology 2026-01-30 J. Orestes Cerdeira , Fabio A. C. C. Chalub , Matheus Hansen

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

COVID-19 will be a continuous threat to human population despite having a few vaccines at hand until we reach the endemic state through natural herd immunity and total immunization through universal vaccination. However, the vaccine acts as…

Populations and Evolution · Quantitative Biology 2022-08-26 V. R. Saiprasad , R. Gopal , V. K. Chandrasekar , M. Lakshmanan

With COVID-19 having emerged as the most widespread human pandemic disease in a century, the need to control its spread to avoid massive loss of life became more than necessary, and extremely fast. Several vaccines were developed and the…

Motivated by COVID-19 vaccine allocation, where vulnerable subpopulations are simultaneously more impacted in terms of health and more disadvantaged in terms of access to the vaccine, we formalize and study the problem of resource…

Artificial Intelligence · Computer Science 2024-02-02 Kenya Andrews , Mesrob Ohannessian , Tanya Berger-Wolf

Because a fast vaccination rollout against coronavirus disease 2019 (COVID-19) is critical to restore daily life and avoid virus mutations, it is tempting to have a relaxed vaccination-administration management system. However, a robust…

Quantitative Methods · Quantitative Biology 2022-03-17 Jorge Medina , Roberto Rojas-Cessa , Vatcharapan Umpaichitra

We develop a general framework for reserve systems that allocate scarce resources such as vaccines to unit-demand agents under prioritization and eligibility constraints, along with a computationally efficient mechanism. Reserve systems…

Theoretical Economics · Economics 2025-11-25 Suat Evren

Considering the global pandemic of coronavirus disease 2019 (COVID-19), around the world several vaccines are being developed. Till now, these vaccines are the most effective way to reduce the high burden on the global health…

Physics and Society · Physics 2023-02-22 Dibyajyoti Mallick , Aniruddha Ray , Ankita Das , Sayantari Ghosh

We estimate patterns of covariation between COVID-19 vaccination rates and a set of widely used indicators of human, social, and economic capital across 146 countries in July 2021 and February 2022. About 70% of the variability in COVID-19…

Physics and Society · Physics 2022-03-02 Cosima Rughinis , Simona-Nicoleta Vulpe , Michael G. Flaherty , Sorina Vasile

In this work, to support decision making of immunisation strategies, we propose the inclusion of two vaccination doses in the SEIR model considering a stochastic cellular automaton. We analyse three different scenarios of vaccination: $i)…

More than 5 million children under five years die from largely preventable or treatable medical conditions every year, with an overwhelmingly large proportion of deaths occurring in under-developed countries with low vaccination uptake. One…

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