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Motivated by the increasing number of COVID-19 cases that have been observed in many countries after the vaccination and relaxation of non-pharmaceutical interventions, we propose a mathematical model on time-varying networks for the spread…

动力系统 · 数学 2022-03-09 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

Platform trials are randomized clinical trials that allow simultaneous comparison of multiple interventions, usually against a common control. Arms to test experimental interventions may enter and leave the platform over time. This implies…

统计方法学 · 统计学 2024-04-12 Marta Bofill Roig , Ekkehard Glimm , Tobias Mielke , Martin Posch

The resurgence of measles is largely attributed to the decline in vaccine adoption and the increase in mobility. Although the vaccine for measles is readily available and highly successful, its current adoption is not adequate to prevent…

种群与进化 · 定量生物学 2020-08-26 Sheryl L. Chang , Mahendra Piraveenan , Mikhail Prokopenko

The main aim of the present work is to study and analyze a reaction-diffusion fractional version of the SIR epidemic mathematical model by means of the non-local and non-singular ABC fractional derivative operator with complete memory…

最优化与控制 · 数学 2022-01-26 Moulay Rchid Sidi Ammi , Mostafa Tahiri , Delfim F. M. Torres

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…

最优化与控制 · 数学 2022-11-01 Giovanni Ziarelli , Luca Dede' , Nicola Parolini , Marco Verani , Alfio Quarteroni

The main aim of this study is to analyze a fractional parabolic SIR epidemic model of a reaction-diffusion, by using the nonlocal Caputo fractional time-fractional derivative and employing the $p$-Laplacian operator. The immunity is imposed…

最优化与控制 · 数学 2025-04-25 Achraf Zinihi , Moulay Rchid Sidi Ammi , Delfim F. M. Torres

We examine here the effects of recurrent vaccination and waning immunity on the establishment of an endemic equilibrium in a population. An individual-based model that incorporates memory effects for transmission rate during infection and…

种群与进化 · 定量生物学 2024-11-22 Félix Foutel-Rodier , Arthur Charpentier , Hélène Guérin

Many epidemic models are naturally defined as individual-based models: where we track the state of each individual within a susceptible population. Inference for individual-based models is challenging due to the high-dimensional state-space…

统计方法学 · 统计学 2025-08-04 Lorenzo Rimella , Christopher Jewell , Paul Fearnhead

We consider the problem of optimizing locations of distribution centers (DCs) and plans for distributing resources such as test kits and vaccines, under spatiotemporal uncertainties of disease spread and demand for the resources. We aim to…

最优化与控制 · 数学 2022-07-19 Beste Basciftci , Xian Yu , Siqian Shen

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…

最优化与控制 · 数学 2022-10-25 Eleni Zavrakli , Andrew Parnell , David Malone , Ken Duffy , Subhrakanti Dey

Given maximal social distancing duration and intensity, how can one minimize the epidemic final size, or equivalently the total number of individuals infected during the outbreak? A complete answer to this question is provided and…

最优化与控制 · 数学 2020-10-01 Pierre-Alexandre Bliman , Michel Duprez

Epidemic spreading phenomena are ubiquitous in nature and society. Examples include the spreading of diseases, information, and computer viruses. Epidemics can spread by local spreading, where infected nodes can only infect a limited set of…

物理与社会 · 物理学 2024-01-02 Changwang Zhang , Shi Zhou , Joel C. Miller , Ingemar J. Cox , Benjamin M. Chain

We propose a new method to immunize populations or computer networks against epidemics which is more efficient than any method considered before. The novelty of our method resides in the way of determining the immunization targets. First we…

物理与社会 · 物理学 2015-06-03 Christian M. Schneider , Tamara Mihaljev , Hans J. Herrmann

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…

物理与社会 · 物理学 2019-07-02 Anupama Sharma , Shakti N. Menon , V. Sasidevan , Sitabhra Sinha

A more connected world has brought major consequences such as facilitate the spread of diseases all over the world to quickly become epidemics, reason why researchers are concentrated in modeling the propagation of epidemics and outbreaks…

物理与社会 · 物理学 2015-10-28 Lucila G. Alvarez Zuzek , Camila Buono , Lidia A. Braunstein

This paper presents a simple continuous-time linear vaccination-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account the total…

动力系统 · 数学 2011-03-28 M. De la Sen , A. Ibeas , S. Alonso-Quesada

Balancing social utility and equity in distributing limited vaccines represents a critical policy concern for protecting against the prolonged COVID-19 pandemic. What is the nature of the trade-off between maximizing collective welfare and…

计算机与社会 · 计算机科学 2021-11-15 Lin Chen , Fengli Xu , Zhenyu Han , Kun Tang , Pan Hui , James Evans , Yong Li

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)…

Most vaccines require multiple doses, the first to induce recognition and antibody production and subsequent doses to boost the primary response and achieve optimal protection. We show that properly prioritizing the administration of first…

This paper is concerned with the well-posedness and optimal control problem of a reaction-diffusion system for an epidemic Susceptible-Infected-Recovered-Susceptible (SIRS) mathematical model in which the dynamics develops in a spatially…

最优化与控制 · 数学 2023-04-24 Pierluigi Colli , Gianni Gilardi , Gabriela Marinoschi , Elisabetta Rocca