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The COVID-19 pandemic left its unique mark on the 21st century as one of the most significant disasters in history, triggering governments all over the world to respond with a wide range of interventions. However, these restrictions come…

Computational Engineering, Finance, and Science · Computer Science 2021-06-02 Assem Zhunis , Tung-Duong Mai , Sundong Kim

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

We consider the problem of optimal allocation strategies for a (perfect) vaccine in an infinite-metapopulation model (including SIS, SIR, SEIR,. . .), when the loss function is given by the effective reproduction number Re, which is defined…

Optimization and Control · Mathematics 2021-10-26 Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

The SEIRS model, an extension of the SEIR model for analyzing and predicting the spread of virus infection, was further extended to consider the movement of people across regions. In contrast to previous models that con-sider the risk of…

Medical Physics · Physics 2021-07-01 Yukio Ohsawa , Teruaki Hayashi , Sae Kondo

We consider the optimal allocation of (perfect) vaccine in an heterogeneous SIS model. Using a coupling approach, we explain how different models for the heterogeneity of the population lead to the same Pareto frontier in the cost/loss…

Probability · Mathematics 2025-09-08 Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

Background: Network-based interventions are most powerful against epidemics when the full network structure is known. However, resource constraints often require decisions based on partial network data. We investigated how the effectiveness…

Populations and Evolution · Quantitative Biology 2018-03-30 Yingrui Yang , Ashley McKhann , Guy Harling , Jukka-Pekka Onnela

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…

Dynamical Systems · Mathematics 2022-03-09 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

Vaccination has been proven to be the most effective method to prevent infectious diseases. However, there are still millions of children in low and middle-income countries who are not covered by routine vaccines and remain at risk. The…

Physics and Society · Physics 2021-04-30 Yuwen Yang , Hoda Bidkhori , Jayant Rajgopal

We introduce a policy model coupled with the susceptible-infected-recovered (SIR) epidemic model to study interactions between policy-making and the dynamics of epidemics. We consider both single-region policies, as well as game-theoretic…

Optimization and Control · Mathematics 2024-08-06 Xia Li , Andrea L. Bertozzi , P. Jeffrey Brantingham , Yevgeniy Vorobeychik

Combating the SARS-CoV2 pandemic will require the fast development of effective preventive vaccines. Regulatory agencies may open accelerated approval pathways for vaccines if an immunological marker can be established as a mediator of a…

Methodology · Statistics 2021-03-05 David Benkeser , Iván Díaz , Jialu Ran

Finding optimal policies to reduce the morbidity and mortality of the ongoing pandemic is a top public health priority. Using a compartmental model with age structure and vaccination status, we examined the effect of age specific scheduling…

Populations and Evolution · Quantitative Biology 2012-02-29 Diána Knipl , Gergely Röst

We consider the effect of inducement to vaccinate during the spread of an infectious disease on complex networks. Suppose that public resources are finite and that only a small proportion of individuals can be vaccinated freely (complete…

Physics and Society · Physics 2015-03-30 Hai-Feng Zhang , Pan-Pan Shu , Ming Tang , Michael Small

Public health measures were among the most polarizing topics debated online during the COVID-19 pandemic. Much of the discussion surrounded specific events, such as when and which particular interventions came into practise. In this work,…

How to prevent the spread of human diseases is a great challenge for the scientific community and so far there are many studies in which immunization strategies have been developed. However, these kind of strategies usually do not consider…

Physics and Society · Physics 2018-08-22 M. A. Di Muro , L. G. Alvarez-Zuzek , S. Havlin , L. A. Braunstein

Until a vaccine or therapy is found against the SARS-CoV-2 coronavirus, reaching herd immunity appears to be the only mid-term option. However, if the number of infected individuals decreases and eventually fades only beyond this threshold,…

Optimization and Control · Mathematics 2020-06-11 Pierre-Alexandre Bliman , Michel Duprez , Yannick Privat , Nicolas Vauchelet

The COVID-19 pandemic, caused by the coronavirus SARS-CoV-2, has led to a wide range of non-pharmaceutical interventions being implemented around the world to curb transmission. However, the economic and social costs of some of these…

Quantitative Methods · Quantitative Biology 2022-04-29 Cameron A. Smith , Christian A. Yates , Ben Ashby

Besides maintaining health precautions, vaccination has been the only prevention from SARS-CoV-2, though no clinically proved 100% effective vaccine has been developed till date. At this stage, to withhold the debris of this pandemic,…

COVID-19 pandemic has been raging all around the world for almost a year now, as of November 1, 2020. In this paper, we try to analyze the variation of the COVID-19 pandemic in different countries in the light of some modifications to the…

Populations and Evolution · Quantitative Biology 2021-09-28 Sourav Chowdhury , Suparna Roychowdhury , Indranath Chaudhuri

In light of the continuing emergence of new SARS-CoV-2 variants and vaccines, we create a simulation framework for exploring possible infection trajectories under various scenarios. The situations of primary interest involve the interaction…

Populations and Evolution · Quantitative Biology 2022-01-10 Kory D. Johnson , Annemarie Grass , Daniel Toneian , Mathias Beiglböck , Jitka Polechová

Pandemics can bring a range of devastating consequences to public health and the world economy. Identifying the most effective control strategies has been the imperative task all around the world. Various public health control strategies…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Zhe Xu , Xiaoming Duan