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This technical report describes a dynamic causal model of the spread of coronavirus through a population. The model is based upon ensemble or population dynamics that generate outcomes, like new cases and deaths over time. The purpose of…

The coronavirus disease 2019 (COVID-19) has become a public health emergency of international concern affecting 201 countries and territories around the globe. As of April 4, 2020, it has caused a pandemic outbreak with more than 11,16,643…

Applications · Statistics 2022-07-18 Tanujit Chakraborty , Indrajit Ghosh

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

In this paper we study a susceptible infectious recovered (SIR) model with asymptomatic patients, contact tracing and isolation on a configuration network. Using degree based approximation, we derive a system of differential equations for…

Social and Information Networks · Computer Science 2022-12-20 Duan-Shin Lee , Ting-Zhe Liu , Ruhui Zhang , Cheng-Shang Chang

We show that the COVID-19 pandemic under social distancing exhibits universal dynamics. The cumulative numbers of both infections and deaths quickly cross over from exponential growth at early times to a longer period of power law growth,…

Populations and Evolution · Quantitative Biology 2020-04-23 Robert Marsland , Pankaj Mehta

A generalisation of the Susceptible-Infectious model is made to include a time-dependent transmission rate, which leads to a close analytical expression in terms of a logistic function. The solution can be applied to any continuous function…

Physics and Society · Physics 2020-10-08 L. Arturo Urena-Lopez , Alma X. Gonzalez-Morales

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

Countries are recording health information on the global spread of COVID-19 using different methods, sometimes changing the rules after a few days. They are all publishing the number of new individuals infected, cured and dead, along with…

Populations and Evolution · Quantitative Biology 2020-12-15 J. M. Calabuig , L. M. García-Raffi , A. García-Valiente , E. A. Sánchez-Pérez

The main focus of this chapter is on public health control strategies which are currently the main way to mitigate COVID-19 pandemic. We introduce and compare compartmental models of increasing complexity for COVID-19 transmission to…

Populations and Evolution · Quantitative Biology 2020-12-14 Redouane Qesmi , Aayah Hammoumi

We develop a multiple-events model and exploit within and between country variation in the timing, type and level of intensity of various public policies to study their dynamic effects on the daily incidence of COVID-19 and on population…

Econometrics · Economics 2021-02-03 Nikos Askitas , Konstantinos Tatsiramos , Bertrand Verheyden

We propose a mathematical model to analyze the time evolution of the total number of infected population with Covid-19 disease at a region in the ongoing pandemic. Using the available data of Covid-19 infected population on various…

Populations and Evolution · Quantitative Biology 2020-08-17 Nilmani Mathur , Gargi Shaw

Social distancing has been enacted in order to mitigate the spread of COVID-19. Like many authors, we adopt the classic epidemic SIR model, where the infection rate is the control variable. Its differential flatness property yields ele…

Systems and Control · Electrical Eng. & Systems 2022-10-05 Michel Fliess , Cédric Join , Alberto d'Onofrio

This paper extends the canonical model of epidemiology, SIRD model, to allow for time varying parameters for real-time measurement of the stance of the COVID-19 pandemic. Time variation in model parameters is captured using the generalized…

Populations and Evolution · Quantitative Biology 2021-02-11 Cem Cakmakli , Yasin Simsek

The experience of Singapur and South Korea makes it clear that under certain circumstances massive testing is an effective way for containing the advance of the COVID-19. In this paper, we propose a modified SEIR model which takes into…

Applications · Statistics 2020-12-24 José Luis Sainz-Pardo , José Valero

Social distancing is a recommended solution by the World Health Organisation (WHO) to minimise the spread of COVID-19 in public places. The majority of governments and national health authorities have set the 2-meter physical distancing as…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Mahdi Rezaei , Mohsen Azarmi

The COVID-19 pandemic has significantly challenged traditional epidemiological models due to factors such as delayed diagnosis, asymptomatic transmission, isolation-induced contact changes, and underreported mortality. In response to these…

Applications · Statistics 2025-03-10 Wenchen Liu , Chang Liu , Dehui Wang , Yiyuan She

Contact Tracing (CT) is one of the measures taken by government and health officials to mitigate the spread of the novel coronavirus. In this paper, we investigate its efficacy by developing a compartmental model for assessing its impact on…

Populations and Evolution · Quantitative Biology 2021-11-23 T. A. Biala , Y. O. Afolabi , A. Q. M. Khaliq

The global pandemic due to the outbreak of COVID-19 ravages the whole world for more than two years in which all the countries are suffering a lot since December 2019. In order to control this ongoing waves of epidemiological infections,…

Populations and Evolution · Quantitative Biology 2022-02-11 Kalpita Ghosh , Asim Kumar Ghosh

Although modeling studies are focused on the control of SIR-based systems describing epidemic data sets (particularly the COVID-19), few of them present a formal dynamic characterization in terms of equilibrium sets and stability. Such…

Optimization and Control · Mathematics 2021-06-03 A. H. González , A. L. Anderson , A. Ferramosca , E. A. Hernandez-Vargas

In this study, we propose a clustering-based approach on time-series data to capture COVID-19 spread patterns in the early period of the pandemic. We analyze the spread dynamics based on the early and post stages of COVID-19 for different…

Physics and Society · Physics 2021-11-05 Mehedi Hassan , Md Enamul Haque , Mehmet Engin Tozal
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