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In this work we analyze mathematically the consequences and effectiveness of strategies to control an epidemic in the framework of classical SEIR models with multiple parallel infectious stages. We define the mathematical concept of a…

Dynamical Systems · Mathematics 2023-08-17 Annibal Figueiredo , Tarcısio Marciano da Rocha Filho

Uncertainty can be classified as either aleatoric (intrinsic randomness) or epistemic (imperfect knowledge of parameters). The majority of frameworks assessing infectious disease risk consider only epistemic uncertainty. We only ever…

How important is resource depletion (e.g. depletion of target cells) in controlling infection within a host? And how can we distinguish between resource depletion and other mechanisms that may contribute to decline of pathogen load or lead…

Cell Behavior · Quantitative Biology 2017-05-09 Hasan Ahmed , James Moore , Balaji Manicassamy , Adolfo Garcia-Sastre , Andreas Handel , Rustom Antia

The outbreak of an infectious disease in a human population can lead to individuals responding with preventive measures in an attempt to avoid getting infected. This leads to changes in contact patterns. However, as we show in this paper,…

Populations and Evolution · Quantitative Biology 2018-05-15 Ka Yin Leung , Frank Ball , David Sirl , Tom Britton

Epidemic containment is a major concern when confronting large-scale infections in complex networks. Many works have been devoted to analytically understand how to restructure the network to minimize the impact of major outbreaks of…

Physics and Society · Physics 2018-12-27 Joan T. Matamalas , Alex Arenas , Sergio Gómez

Investigations of a possible connection between population density and the propagation and magnitude of epidemics have so far led to mixed and unconvincing results. There are three reasons for that. (i) Previous studies did not focus on the…

Physics and Society · Physics 2018-08-15 Ruiqi Li , Peter Richmond , Bertrand M. Roehner

We investigate the effects of risk perception in a simple model of epidemic spreading. We assume that the perception of the risk of being infected depends on the fraction of neighbors that are ill. The effect of this factor is to decrease…

Populations and Evolution · Quantitative Biology 2007-12-06 Franco Bagnoli , Pietro Lio , Luca Sguanci

Epidemics exhibit interconnected processes that operate at multiple time and organizational scales, a hallmark of complex adaptive systems. Modern epidemiological modeling frameworks incorporate feedback between individual-level behavioral…

Dynamical Systems · Mathematics 2025-03-07 Baltazar Espinoza , Roger Sanchez , Jimmy Calvo-Monge , Fabio Sanchez

Optimizing the impact on the economy of control strategies aiming at containing the spread of COVID-19 is a critical challenge. We use daily new case counts of COVID-19 patients reported by local health administrations from different…

Populations and Evolution · Quantitative Biology 2021-03-12 Afroza Shirin , Yen Ting Lin , Francesco Sorrentino

Epidemic spreading of infectious diseases is ubiquitous and has often considerable impact on public health and economic wealth. The large variability in spatio-temporal patterns of epidemics prohibits simple interventions and demands for a…

Populations and Evolution · Quantitative Biology 2010-11-25 Christel Kamp

Epidemic models are always simplifications of real world epidemics. Which real world features to include, and which simplifications to make, depend both on the disease of interest and on the purpose of the modelling. In the present paper we…

Probability · Mathematics 2008-12-19 Tom Britton , David Lindenstrand

Health-policy planning requires evidence on the burden that epidemics place on healthcare systems. Multiple, often dependent, datasets provide a noisy and fragmented signal from the unobserved epidemic process including transmission and…

Applications · Statistics 2024-09-11 Alice Corbella , Anne M Presanis , Paul J Birrell , Daniela De Angelis

We consider interacting population systems of predator-prey type, presenting four models of control strategies for epidemics among the prey. In particular to contain the transmissible disease, safety niches are considered, assuming they…

Populations and Evolution · Quantitative Biology 2014-03-04 Iulia Martina Bulai , Roberto Cavoretto , Bruna Chialva , Davide Duma , Ezio Venturino

During the COVID-19 pandemic, different countries, regions, and communities constructed various epidemic models to evaluate spreading behaviors and assist in making mitigation policies. Model uncertainties, introduced by complex…

Physics and Society · Physics 2025-06-23 Baike She , Rebecca Lee Smith , Ian Pytlarz , Shreyas Sundaram , Philip E. Paré

To mitigate the impact of the pandemic, several measures include lockdowns, rapid vaccination programs, school closures, and economic stimulus. These interventions can have positive or unintended negative consequences. Current research to…

Machine Learning · Computer Science 2025-08-11 Gaurav Deshkar , Jayanta Kshirsagar , Harshal Hayatnagarkar , Janani Venugopalan

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

Social distancing reduces infectious disease transmission by limiting contact frequency and proximity within a community. However, compliance varies due to its impact on daily life. This paper explores the effects of compliance on social…

Optimization and Control · Mathematics 2024-08-27 Hyelim Shin , Taesik Lee

Modelling epidemics via classical population-based models suffers from shortcomings that so-called individual-based models are able to overcome, as they are able to take heterogeneity features into account, such as super-spreaders, and…

Optimization and Control · Mathematics 2022-05-16 C. Courtès , E. Franck , K. Lutz , L. Navoret , Y. Privat

Epidemic outbreaks pose significant challenges to public health and socio-economic stability, necessitating a comprehensive understanding of disease transmission dynamics and effective control strategies. This article discusses the…

Physics and Society · Physics 2023-10-20 Sourin Chatterjee , Ahad N. Zehmakan , Sujay Rastogi

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…