COVID-19 SIR模型的保正初等稳定非标准方法

IF 0.6 Q3 MATHEMATICS

Dolomites Research Notes on Approximation Pub Date : 2022-01-01 DOI:10.14658/pupj-drna-2022-5-7

D. Conte, N. Guarino, G. Pagano, B. Paternoster

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引用次数: 3

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Positivity-preserving and elementary stable nonstandard method for a COVID-19 SIR model

The main purpose of this work is to build a numerical method for solving an epidemiological model that describes the spread of COVID-19 in some countries. The method is constructed using a NonStandard Finite Difference (NSFD) discretization for the analyzed model, in order to preserve its positivity and equilibrium points properties. Numerical simulations testify the best performance of the proposed scheme with respect to the related Standard Finite Difference (SFD) method, the famous explicit four-stage order-four Runge-Kutta known as RK4, and another positivity-preserving nonstandard method. © 2022, Padova University Press. All rights reserved.

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来源期刊

Dolomites Research Notes on Approximation MATHEMATICS-

CiteScore

1.70

自引率

7.70%

发文量

审稿时长

8 weeks

期刊介绍： Dolomites Research Notes on Approximation is an open access journal that publishes peer-reviewed papers. It also publishes lecture notes and slides of the tutorials presented at the annual Dolomites Research Weeks and Workshops, which have been organized regularly since 2006 by the Padova-Verona Research Group on Constructive Approximation and Applications (CAA) in Alba di Canazei (Trento, Italy). The journal publishes, on invitation, survey papers and summaries of Ph.D. theses on approximation theory, algorithms, and applications.