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How to strategically allocate the available vaccines is a crucial issue for pandemic control. In this work, we propose a mathematical framework for optimal stabilizing vaccine allocation, where our goal is to send the infections to zero as…

Optimization and Control · Mathematics 2021-09-13 Qianqian Ma , Yang-Yu Liu , Alex Olshevsky

The outbreak of a novel coronavirus causing severe acute respiratory syndrome in December 2019 has escalated into a worldwide pandemic. In this work, we propose a compartmental model to describe the dynamics of transmission of infection and…

Optimization and Control · Mathematics 2022-10-25 Eleni Zavrakli , Andrew Parnell , David Malone , Ken Duffy , Subhrakanti Dey

Seasonal influenza is a significant public health concern in the United States and globally. While influenza vaccines are the single most effective intervention to reduce influenza morbidity and mortality, there is considerable debate…

Populations and Evolution · Quantitative Biology 2015-01-07 Eric Mooring , Shweta Bansal

Seasonal influenza presents an ongoing challenge to public health. The rapid evolution of the flu virus necessitates annual vaccination campaigns, but the decision to get vaccinated or not in a given year is largely voluntary, at least in…

Populations and Evolution · Quantitative Biology 2021-01-21 Irena Papst , Kevin P. O'Keeffe , Steven H. Strogatz

Background: By the beginning of December 2020, some vaccines against COVID-19 already presented efficacy and security, which qualify them to be used in mass vaccination campaigns. Thus, setting up strategies of vaccination became crucial to…

Populations and Evolution · Quantitative Biology 2021-02-25 Vinicius V. L. Albani , Jennifer Loria , Eduardo Massad , Jorge P. Zubelli

Non-pharmacological interventions (NPIs), and in particular social distancing, in conjunction with the advent of effective vaccines at the end of 2020, aspired for the development of a protective immunity shield against the spread of…

In diseases with long-term immunity, vaccination is known to increase the average age at infection as a result of the decrease in the pathogen circulation. This implies that a vaccination campaign can have negative effects when a disease is…

Populations and Evolution · Quantitative Biology 2024-06-04 Fabio A. C. C. Chalub , Paulo Doutor , Paula Patrício , Maria do Céu Soares

Most countries have started vaccinating people against COVID-19. However, due to limited production capacities and logistical challenges it will take months/years until herd immunity is achieved. Therefore, vaccination and social distancing…

Physics and Society · Physics 2021-04-22 Sara Grundel , Stefan Heyder , Thomas Hotz , Tobias K. S. Ritschel , Philipp Sauerteig , Karl Worthmann

Vaccination and outbreak monitoring are essential tools for preventing and minimizing outbreaks of infectious diseases. Targeted strategies, where the individuals most important for monitoring or preventing outbreaks are selected for…

Physics and Society · Physics 2016-03-04 Enys Mones , Arkadiusz Stopczynski , Alex Pentland , Nathaniel Hupert , Sune Lehmann

The rapid outbreak of bird flu challenges the outcome of effective vaccine for the upcoming years. The recent research established different norms to eliminate flu pandemics. This can be made possible with skilled experimental analyses and…

Other Quantitative Biology · Quantitative Biology 2012-06-06 Baby Jerald , T. R. Gopalakrishnan Nair

We present a stochastic epidemic model to study the effect of various preventive measures, such as uniform reduction of contacts and transmission, vaccination, isolation, screening and contact tracing, on a disease outbreak in a…

Populations and Evolution · Quantitative Biology 2022-07-08 Martina Favero , Gianpaolo Scalia Tomba , Tom Britton

This article reviews quantitative methods to estimate the basic reproduction number of pandemic influenza, a key threshold quantity to help determine the intensity of interventions required to control the disease. Although it is difficult…

Populations and Evolution · Quantitative Biology 2009-11-13 Gerardo Chowell , Hiroshi Nishiura

We evaluate the efficiency of various heuristic strategies for allocating vaccines against COVID-19 and compare them to strategies found using optimal control theory. Our approach is based on a mathematical model which tracks the spread of…

Populations and Evolution · Quantitative Biology 2022-05-04 Jeta Molla , Alejandro Ponce de León Chávez , Takayuki Hiraoka , Tapio Ala-Nissila , Mikko Kivelä , Lasse Leskelä

Voluntary vaccination is essential to protect oneself from infection and suppress the spread of infectious diseases. Voluntary vaccination behavior is influenced by factors such as age and interaction patterns. Differences in health…

Physics and Society · Physics 2024-12-11 Yanyi Nie , Tao Lin , Yanbing Liu , Wei Wang

Understanding age-group dynamics of infectious diseases is a fundamental issue for both scientific study and policymaking. Age-structure epidemic models were developed in order to study and improve our understanding of these dynamics. By…

Populations and Evolution · Quantitative Biology 2019-11-22 Rami Yaari , Amit Huppert , Itai Dattner

Background: There is limited information about the role of different age groups, particularly subgroups of school-age children and younger adults in propagating influenza epidemics. Methods: For a communicable disease outbreak, some…

Populations and Evolution · Quantitative Biology 2017-06-13 Edward Goldstein

This study compared the effectiveness of COVID-19 control policies, including wearing masks, and the vaccine rates through proportional infection rate in 28 states of the United States using the eSIR model. The effective rate of policies…

Applications · Statistics 2023-01-16 Yile He

Covid-19 has caused hundred of thousands of deaths and an economic damage amounting to trillions of dollars, creating a desire for the rapid development of vaccine. Once available, vaccine is gradually produced, evoking the question on how…

Populations and Evolution · Quantitative Biology 2020-06-30 Jens Grauer , Hartmut Löwen , Benno Liebchen

This study presents a seasonally forced cholera model that incorporates imperfect vaccination as a control strategy. The model captures the temporal dynamics of susceptible, vaccinated, infected, and recovered individuals, as well as the…

Populations and Evolution · Quantitative Biology 2025-07-15 Eric Herrison Gyamfi

Spreading processes represent a very efficient tool to investigate the structural properties of networks and the relative importance of their constituents, and have been widely used to this aim in static networks. Here we consider simple…

Physics and Society · Physics 2013-09-11 Michele Starnini , Anna Machens , Ciro Cattuto , Alain Barrat , Romualdo Pastor Satorras