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This study explores the application of Pontryagin's Maximum Principle to derive optimal strategies for controlling the spread of COVID-19, leveraging a novel compartmental model to capture the disease dynamics. We prioritize three key…

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

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

Since December 2020, variants of COVID-19 (especially Delta and Omicron) appeared with different characteristics that influenced death and transmissibility emerged around the world. To address the novel dynamics of the disease, we propose a…

Populations and Evolution · Quantitative Biology 2022-01-19 Sarita Bugalia , Jai Prakash Tripathi , Hao Wang

Understanding dynamics of an outbreak like that of COVID-19 is important in designing effective control measures. This study aims to develop an agent based model that compares changes in infection progression by manipulating different…

Populations and Evolution · Quantitative Biology 2021-06-24 Anik Burman , Sayak Chatterjee , Pramit Ghosh , Indranil Mukhokadhyay

We employ an agent-based contact network model to study the relationship between vaccine uptake and disease dynamics in a hypothetical country town from New South Wales, Australia, undergoing a COVID-19 epidemic, over a period of three…

Social and Information Networks · Computer Science 2024-01-09 Shing Hin , Yeung , Mahendra Piraveenan

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

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…

Populations and Evolution · Quantitative Biology 2024-11-22 Félix Foutel-Rodier , Arthur Charpentier , Hélène Guérin

Motivated by massive outbreaks of COVID-19 that occurred even in populations with high vaccine uptake, we propose a novel multi-population temporal network model for the spread of recurrent epidemic diseases. We study the effect of human…

Dynamical Systems · Mathematics 2022-09-19 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

The outbreak of COVID-19 caused by SARS-CoV-2 in Wuhan and other cities in China in 2019 has become a global pandemic as declared by World Health Organization (WHO) in the first quarter of 2020 . The delay in diagnosis, limited hospital…

Populations and Evolution · Quantitative Biology 2020-04-03 Stephen E. Moore , Eric Okyere

The severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), which causes the coronavirus disease 2019 (COVID-19), has led to the deepest global health and economic crisis of the current century. This dramatic situation has forced the…

Applications · Statistics 2021-10-22 Álvaro Briz-Redón , Ángel Serrano-Aroca

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

Background: To prevent future outbreaks of COVID-19, Australia is pursuing a mass-vaccination approach in which a targeted group of the population comprising healthcare workers, aged-care residents and other individuals at increased risk of…

Populations and Evolution · Quantitative Biology 2021-08-09 Cameron Zachreson , Sheryl L. Chang , Oliver M. Cliff , Mikhail Prokopenko

I estimate the Susceptible-Infected-Recovered (SIR) epidemic model for Coronavirus Disease 2019 (COVID-19). The transmission rate is heterogeneous across countries and far exceeds the recovery rate, which enables a fast spread. In the…

Populations and Evolution · Quantitative Biology 2020-03-27 Alexis Akira Toda

Effective vaccine prioritization is critical for epidemic control, yet real outbreaks exhibit memory effects that inflate state space and make long-term prediction and optimization challenging. As a result, many strategies are tuned to…

Biological Physics · Physics 2025-11-11 Mi Feng , Liang Tian , Changsong Zhou

Coronavirus outbreak is one of the most challenging pandemics for the entire human population of the planet Earth. Techniques such as the isolation of infected persons and maintaining social distancing are the only preventive measures…

Social and Information Networks · Computer Science 2020-09-01 Rahul Mishra , Hari Prabhat Gupta , Tanima Dutta

The outbreak of COVID-19 led to a record-breaking race to develop a vaccine. However, the limited vaccine capacity creates another massive challenge: how to distribute vaccines to mitigate the near-end impact of the pandemic? In the United…

Populations and Evolution · Quantitative Biology 2021-07-20 Dimitris Bertsimas , Vassilis Digalakis , Alexander Jacquillat , Michael Lingzhi Li , Alessandro Previero

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

Dynamical Systems · Mathematics 2011-03-28 M. De la Sen , S. Alonso-Quesada

In this paper, an SIR epidemic model with variable size of population is considered. We study optimal control problem for an SIR model with "vaccination" and "treatment" as controls. It is shown that an optimal control exists. We have…

Optimization and Control · Mathematics 2016-12-28 Olga Klimenkova

Between the years 2020 to 2022, the world was hit by the pandemic of COVID-19 giving rise to an extremely grave situation. The global economy was badly hurt due to the consequences of various intervention strategies (like social distancing,…

Physics and Society · Physics 2023-07-28 Sourav Chowdhury , Suparna Roychowdhury , Indranath Chaudhuri
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