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A number of models in mathematical epidemiology have been developed to account for control measures such as vaccination or quarantine. However, COVID-19 has brought unprecedented social distancing measures, with a challenge on how to…

Populations and Evolution · Quantitative Biology 2021-09-07 Magdalena Djordjevic , Andjela Rodic , Igor Salom , Dusan Zigic , Ognjen Milicevic , Bojana Ilic , Marko Djordjevic

Compartmental models are widely adopted to describe and predict the spreading of infectious diseases. The unknown parameters of such models need to be estimated from the data. Furthermore, when some of the model variables are not…

Physics and Society · Physics 2021-01-18 Luca Gallo , Mattia Frasca , Vito Latora , Giovanni Russo

Predicting the endemic/epidemic transition during the temporal evolution of a contagious disease. Methods: Defining indicators for detecting the transition endemic/epidemic, with four scalars to be compared, calculated from the daily…

Analysis of PDEs · Mathematics 2023-10-02 Jacques Demongeot , Pierre Magal , Kayode Oshnubi

This study presents a new risk-averse multi-stage stochastic epidemics-ventilator-logistics compartmental model to address the resource allocation challenges of mitigating COVID-19. This epidemiological logistics model involves the…

Applications · Statistics 2021-03-12 Xuecheng Yin , I. Esra Buyuktahtakin , Bhumi P. Patel

In this paper we propose a data-driven model for the spread of SARS-CoV-2 and use it to design optimal control strategies of human-mobility restrictions that both curb the epidemic and minimize the economic costs associated with…

Optimization and Control · Mathematics 2021-05-21 Mikhail Hayhoe , Francisco Barreras , Victor M. Preciado

COVID-19 continues to cause a significant impact on public health. To minimize this impact, policy makers undertake containment measures that however, when carried out disproportionately to the actual threat, as a result if errorneous…

The COVID-19 pandemic has placed forecasting models at the forefront of health policy making. Predictions of mortality and hospitalization help governments meet planning and resource allocation challenges. In this paper, we consider the…

Applications · Statistics 2020-08-21 Kathryn S. Taylor , James W. Taylor

We present a compartmental SEIRD model aimed at forecasting hospital occupancy in metropolitan areas during the current COVID-19 outbreak. The model features asymptomatic and symptomatic infections with detailed hospital dynamics. We model…

Populations and Evolution · Quantitative Biology 2020-06-08 Marcos A. Capistran , Antonio Capella , J. Andres Christen

In this paper, based on the Akaike information criterion, root mean square error and robustness coefficient, a rational evaluation of various epidemic models/methods, including seven empirical functions, four statistical inference methods…

Populations and Evolution · Quantitative Biology 2021-09-16 Wuyue Yang , Dongyan Zhang , Liangrong Peng , Changjing Zhuge , Liu Hong

Mathematical modeling is one of the key factors of the effective control of newly found infectious diseases, such as COVID-19. Our knowledge about the parameters and the course of the infection is highly limited in the beginning of the…

Quantitative Methods · Quantitative Biology 2021-10-13 Péter Boldog , Norbert Bogya , Zsolt Vizi

This paper uses Covasim, an agent-based model (ABM) of COVID-19, to evaluate and scenarios of epidemic spread in New York State (USA), the UK, and the Novosibirsk region (Russia). Epidemiological parameters such as contagiousness (virus…

Optimization and Control · Mathematics 2022-02-09 Olga Krivorotko , Mariia Sosnovskaia , Ivan Vashchenko , Cliff Kerr , Daniel Lesnic

Incidence vs Cumulative Cases (ICC) curves are introduced and shown to provide a simple framework for parameter identification in the case of the most elementary epidemiological model, consisting of susceptible, infected, and removed…

Populations and Evolution · Quantitative Biology 2021-04-14 Joceline Lega

The aim of the paper is to describe two models of Covid-19 infection dynamics. For this purpose a special class of branching processes with two types of individuals is considered. These models are intended to use only the observed daily…

Populations and Evolution · Quantitative Biology 2020-05-05 Nikolay M. Yanev , Vessela K. Stoimenova , Dimitar V. Atanasov

A central feature of an emerging infectious disease in a pandemic scenario is the spread through geographical scales and the impacts on different locations according to the adopted mitigation protocols. We investigated a stochastic epidemic…

Physics and Society · Physics 2021-01-13 Guilherme S. Costa , Wesley Cota , Silvio C. Ferreira

Traditionally, the identification of parameters in the formulation and solution of inverse problems considers that models, variables and mathematical parameters are free of uncertainties. This aspect simplifies the estimation process, but…

Populations and Evolution · Quantitative Biology 2020-06-02 Gustavo Barbosa Libotte , Fran Sérgio Lobato , Gustavo Mendes Platt

We introduce a deterministic model that partitions the total population into the susceptible, infected, quarantined, and those traced after exposure, the recovered and the deceased. We hypothesize 'accessible population for transmission of…

Populations and Evolution · Quantitative Biology 2020-06-09 G. Ananthakrishna , Jagadish Kumar

This research presents an advanced fractional-order compartmental model designed to delve into the complexities of COVID-19 transmission dynamics, specifically accounting for the influence of environmental pathogens on disease spread. By…

Populations and Evolution · Quantitative Biology 2024-07-09 Moein Khalighi , Faïçal Ndaïrou , Leo Lahti

Timely and effective decision-making is critical during epidemics to reduce preventable infections and deaths. This demands integrated models that jointly capture disease dynamics, vaccine distribution, regional disparities, and behavioral…

Social and Information Networks · Computer Science 2025-11-26 Kimiya Jozani , Nihal A. Sageer , Hode Eldardiry , Sait Tunc , Esra Buyuktahtakin Toy

The goal of this article is to analyze some compartmental models specially designed to model the spread of a disease whose transmission has the same features as COVID-19. The major contributions of this article are: (1) Rigorously find…

Populations and Evolution · Quantitative Biology 2020-05-01 Gonçalo Oliveira

This paper extends the canonical model of epidemiology, the SIRD model, to allow for time-varying parameters for real-time measurement and prediction of the trajectory of the Covid-19 pandemic. Time variation in model parameters is captured…

Econometrics · Economics 2023-02-01 Cem Cakmakli , Yasin Simsek
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