Analytic solution of the SEIR epidemic model via asymptotic approximant
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TLDR
The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic through the form of a modified symmetric Padé approximant that incorporates this damping of the epidemic model.About:
This article is published in Physica D: Nonlinear Phenomena.The article was published on 2020-10-01 and is currently open access. It has received 38 citations till now. The article focuses on the topics: Padé approximant & Asymptotic analysis.read more
Citations
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Explicit formulae for the peak time of an epidemic from the SIR model
TL;DR: In this paper, an analytical approach for providing an explicit formula associated with a straightforward computation of peak time of outbreak is proposed, where the time scale from the relevant autonomous SIR epidemic model is formulated analytically via an integral based on the fractions of susceptible and infected compartments.
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A Spatial-Temporal Model for the Evolution of the COVID-19 Pandemic in Spain Including Mobility
Francesc Aràndiga,Antonio Baeza,Isabel Cordero-Carrión,Rosa Donat,M. Carmen Martí,Pep Mulet,Dionisio F. Yáñez +6 more
TL;DR: In this paper, a model for the simulation of infectious disease outbreaks including mobility data is presented based on the SAIR compartmental model and includes mobility data terms that model the flow of people between different regions.
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Association between COVID-19 cases and international equity indices
Nick James,Max Menzies +1 more
TL;DR: In this article, the impact of COVID-19 on the populations and equity markets of 92 countries was analyzed, and it was shown that there is no relationship between countries' equity market performance and their success in managing the pandemic.
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Efficiency of communities and financial markets during the 2020 pandemic.
Nick James,Max Menzies +1 more
TL;DR: In this paper, the authors investigated the relationship between the spread of the COVID-19 pandemic, the state of community activity, and the financial index performance across 20 countries and found that mobility data and national financial indices exhibited the most similarity in their trajectories.
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Trends in COVID-19 prevalence and mortality: A year in review
Nick James,Max Menzies +1 more
TL;DR: In this article, the authors introduced new methods to study the changing dynamics of COVID-19 cases and deaths among the 50 worst-affected countries throughout 2020, including Pakistan, United States and United Arab Emirates.
References
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A Contribution to the Mathematical Theory of Epidemics.
TL;DR: The present communication discussion will be limited to the case in which all members of the community are initially equally susceptible to the disease, and it will be further assumed that complete immunity is conferred by a single infection.
Book
Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory
Carl M. Bender,Steven A. Orszag +1 more
TL;DR: Eventually, you will enormously discover a supplementary experience and execution by Spending more cash by spending more cash.
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Outbreak dynamics of COVID-19 in Europe and the effect of travel restrictions.
TL;DR: A global network mobility model with a local epidemiology model is combined to simulate and predict the outbreak dynamics and outbreak control of COVID-19 across Europe and shows that mobility networks of air travel can predict the emerging global diffusion pattern of a pandemic at the early stages of the outbreak.
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Outbreak dynamics of COVID-19 in China and the United States.
TL;DR: A global network model with a local epidemic SEIR model is integrated to quantify the outbreak dynamics of COVID-19 in China and the United States and predicts that—without the massive political mitigation strategies that are in place today—the United States would have faced a basic reproduction number of 5.30 ± 0.95.
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Robust Padé Approximation via SVD
TL;DR: The success of this algorithm suggests that there might be variants of Pade approximation that are pointwise convergent as the degrees of the numerator and denominator increase to $\infty$, unlike traditional Pade approximants, which converge only in measure or capacity.