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In this paper we analyze the impact of vaccinations on spread of the COVID-19 virus for different age groups. More specifically we examine the deployment of vaccines in the Nordic countries in a comparative analysis where we analyze factors…

Populations and Evolution · Quantitative Biology 2021-09-24 Anna Sigridur Islind , María Óskarsdóttir , Corentin Cot , Giacomo Cacciapaglia , Francesco Sannino

The novel coronavirus disease (COVID-19) has spread rapidly across the world in a short period of time and with a heterogeneous pattern. Understanding the underlying temporal and spatial dynamics in the spread of COVID-19 can result in…

Applications · Statistics 2023-04-25 Abdollah Jalilian , Jorge Mateu

To reduce the biases of traditional survey-based methods, this paper proposes an epidemic model-based approach to inference the incubation period distribution of COVID-19 utilizing the publicly reported confirmed case number. We construct…

Populations and Evolution · Quantitative Biology 2020-07-23 Shiyang Lai , Tianqi Zhao , Ningyuan Fan

Standard epidemiological models for COVID-19 employ variants of compartment (SIR) models at local scales, implicitly assuming spatially uniform local mixing. Here, we examine the effect of employing more geographically detailed diffusion…

This research introduces a new approach utilizing optimal control theory (OCT) to assess the Social Optimum (SO) of a vaccination game, navigating the intricate considerations of cost, availability, and distribution policies. By integrating…

Optimization and Control · Mathematics 2025-01-14 Md. Mamun-Ur-Rashid Khan , Jun Tanimoto

The Susceptible-Exposed-Infected-Recovered (SEIR) epidemiological model is one of the standard models of disease spreading. Here we analyse an extended SEIR model that accounts for asymptomatic carriers, believed to play an important role…

Populations and Evolution · Quantitative Biology 2021-01-26 Arghya Das , Abhishek Dhar , Srashti Goyal , Anupam Kundu , Saurav Pandey

In the last decade, humanity has faced many different pandemics such as SARS, H1N1, and presently novel coronavirus (COVID-19). On one side, scientists are focusing on vaccinations, and on the other side, there is a need to propose models…

Social and Information Networks · Computer Science 2020-04-29 Rahul Goel , Rajesh Sharma

The aim of this study is to propose a modified Susceptible-Exposed-Infectious-Removed (SEIR) model that describes the behaviour of symptomatic, asymptomatic and hospitalized patients of COVID-19 epidemic, including the effect of demographic…

This paper introduces a spatiotemporal SEIQR epidemic model governed by a system of reaction-diffusion partial differential equations that incorporates optimal control strategies. The model captures the transmission dynamics of an…

Dynamical Systems · Mathematics 2025-07-29 Achraf Zinihi , Matthias Ehrhardt , Moulay Rchid Sidi Ammi

This paper presents a detailed mathematical investigation into the dynamics of COVID-19 infections through extended Susceptible-Infected-Recovered (SIR) and Susceptible-Exposed-Infected-Recovered (SEIR) epidemiological models. By…

Populations and Evolution · Quantitative Biology 2025-05-21 Caleb Traxler , Minh Ton , Nameer Ahmed , Sasha Prostota , Annie Cheng

The rapid spread of the Coronavirus (COVID-19) confronts policy makers with the problem of measuring the effectiveness of containment strategies, balancing public health considerations with the economic costs of social distancing measures.…

Physics and Society · Physics 2021-04-02 Claudius Gros , Roser Valenti , Lukas Schneider , Kilian Valenti , Daniel Gros

We consider a SIR model with vaccination strategy on a sparse configuration model random graph. We show the convergence of the system when the number of nodes grows and characterize the scaling limits. Then, we prove the existence of…

Probability · Mathematics 2021-02-26 Emanuel Javier Ferreyra , Matthieu Jonckheere , Juan Pablo Pinasco

India is one of the worst affected countries by the Covid-19 pandemic at present. We studied publicly available data of the Covid-19 patients in India and analyzed possible impacts of quarantine and social distancing within the stochastic…

Populations and Evolution · Quantitative Biology 2020-06-12 Athokpam Langlen Chanu , R. K. Brojen Singh

A susceptible-exposed-infected-removed (SEIR) model assumes spatial-/time-varying coefficients to model the effect of non-pharmaceutical interventions (NPIs) on the regional and temporal distribution of COVID-19 disease epidemics. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-05 Huan Zhou , Ralf Schneider

We formalize and study the problem of optimal allocation strategies for a (perfect) vaccine in the infinite-dimensional SIS model. The question may be viewed as a bi-objective minimization problem, where one tries to minimize simultaneously…

Probability · Mathematics 2021-08-27 Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

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

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,…

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

Clinical trials of a vaccine during an epidemic face particular challenges, such as the pressure to identify an effective vaccine quickly to control the epidemic, and the effect that time-space-varying infection incidence has on the power…

Populations and Evolution · Quantitative Biology 2021-05-21 Rob Johnson , Chris Jackson , Anne Presanis , Sofia S. Villar , Daniela De Angelis

In the context of epidemiology, policies for disease control are often devised through a mixture of intuition and brute-force, whereby the set of logically conceivable policies is narrowed down to a small family described by a few…

Populations and Evolution · Quantitative Biology 2021-10-04 Miguel Navascues , Costantino Budroni , Yelena Guryanova