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The classic SIR model of epidemic dynamics is solved completely by quadratures, including a time integral transform expanded in a series of incomplete gamma functions. The model is also generalized to arbitrary time-dependent infection…

Populations and Evolution · Quantitative Biology 2020-10-07 E. Sadurní , G. Luna-Acosta

Classical epidemiological models assume homogeneous populations. There have been important extensions to model heterogeneous populations, when the identity of the sub-populations is known, such as age group or geographical location. Here,…

Machine Learning · Computer Science 2023-02-10 Roberto Vega , Zehra Shah , Pouria Ramazi , Russell Greiner

Given the ongoing Covid-19 pandemic, it is of interest to understand how the infections spread as the combined result of measures taken by central planners (governments) and individual behavior. In this work, the spread of Covid-19 is…

Populations and Evolution · Quantitative Biology 2021-10-01 Sushant Vijayan

We study an SEIQR (Susceptible-Exposed-Infectious-Quarantined-Recovered) model for an infectious disease, with time delays for latency and an asymptomatic phase. For fast pandemics where nobody has prior immunity and everyone has immunity…

Populations and Evolution · Quantitative Biology 2020-04-09 C. P. Vyasarayani , Anindya Chatterjee

The COVID19 pandemic, a unique and devastating respiratory disease outbreak, has affected global populations as the disease spreads rapidly. Recent Deep Learning breakthroughs may improve COVID19 prediction and forecasting as a tool of…

Image and Video Processing · Electrical Eng. & Systems 2023-10-24 Md Aminul Islam , Shabbir Ahmed Shuvo , Mohammad Abu Tareq Rony , M Raihan , Md Abu Sufian

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

We examine the age-structured SIR model, a variant of the classical Susceptible-Infected-Recovered (SIR) model of epidemic propagation, in the context of COVID-19. In doing so, we provide a theoretical basis for the model, perform an…

Optimization and Control · Mathematics 2022-03-11 Rohit Parasnis , Ryosuke Kato , Amol Sakhale , Massimo Franceschetti , Behrouz Touri

With the covid-19 pandemic still ongoing and an enormous amount of test data available, the lessons learned over the last two years need to be developed to a point where they can provide understanding for tackling new variants and future…

Populations and Evolution · Quantitative Biology 2022-06-09 Adam Mielke

In this paper, a mathematical model is proposed to analyze the dynamic behavior of COVID-19. Based on inter-city networked coupling effects, a fractional-order SEIHDR system with the real-data from 23 January to 18 March, 2020 of COVID-19…

Physics and Society · Physics 2020-05-01 Zhenzhen Lu , Yongguang Yu , YangQuan Chen , Guojian Ren , Conghui Xu , Shuhui Wang , Zhe Yin

Graph convolutional neural networks (GCNs) have shown tremendous promise in addressing data-intensive challenges in recent years. In particular, some attempts have been made to improve predictions of Susceptible-Infected-Recovered (SIR)…

Machine Learning · Statistics 2025-01-07 Petr Kisselev , Padmanabhan Seshaiyer

Differentiable programming has recently received much interest as a paradigm that facilitates taking gradients of computer programs. While the corresponding flexible gradient-based optimization approaches so far have been used predominantly…

Recent years have seen a huge development in spatial modelling and prediction methodology, driven by the increased availability of remote-sensing data and the reduced cost of distributed-processing technology. It is well known that…

Computation · Statistics 2020-02-18 Andrew Zammit-Mangion , Jonathan Rougier

With the outbreak of COVID-19, how to mitigate and suppress its spread is a big issue to the government. Department of public health need powerful models to model and predict the trend and scale of such pandemic. And models that could…

Computational Engineering, Finance, and Science · Computer Science 2020-12-08 Wang Pan , Qipu Deng , Jiadong Li , Zhi Wang , Wenwu Zhu

The global spread of COVID-19 had severe consequences for public health and the world economy. The quick onset of the pandemic highlighted the potential benefits of cheap and deployable pre-screening methods to monitor the prevalence of the…

Sound · Computer Science 2023-09-12 Andrej Jovanović , Mario Mihaly , Lennon Donaldson

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

Disease transmission is studied through disciplines like epidemiology, applied mathematics, and statistics. Mathematical simulation models for transmission have implications in solving public and personal health challenges. The SIR model…

Populations and Evolution · Quantitative Biology 2022-01-04 R. Jayatilaka , R. Patel , M. Brar , Y. Tang , N. M. Jisrawi , F. Chishtie , J. Drozd , S. R. Valluri

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…

Background: Early detection and isolation of COVID-19 patients are essential for successful implementation of mitigation strategies and eventually curbing the disease spread. With a limited number of daily COVID-19 tests performed in every…

Populations and Evolution · Quantitative Biology 2022-06-09 Mohammed Alser , Jeremie S. Kim , Nour Almadhoun Alserr , Stefan W. Tell , Onur Mutlu

Students develop and test simple models of the spread of COVID-19. Microsoft Excel is used as the modeling platform because it's non-threatening to students and because it's widely available. Students develop finite difference models and…

Physics Education · Physics 2021-12-14 Peter Hugo Nelson

COVID-19 is a pandemic disease that began to rapidly spread in the US with the first case detected on January 19, 2020, in Washington State. March 9, 2020, and then increased rapidly with total cases of 25,739 as of April 20, 2020. The…

Populations and Evolution · Quantitative Biology 2020-06-30 Shashank Reddy Vadyala , Sai Nethra Betgeri , Eric A. Sherer , Amod Amritphale
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