Please use this identifier to cite or link to this item: http://dx.doi.org/10.25673/118629
Title: A non-standard finite-difference-method for a non-autonomous epidemiological model: analysis, parameter identification and applications
Author(s): Wacker, Benjamin
Schlüter, Christian Jan
Issue Date: 2023
Type: Article
Language: English
Abstract: In this work, we propose a new non-standard finite-difference-method for the numerical solution of the time-continuous non-autonomous susceptible-infected-recovered model. For our time-discrete numerical solution algorithm, we prove preservation of non-negativity and show that the unique time-discrete solution converges linearly towards the time-continuous unique solution. In addition to that, we introduce a parameter identification algorithm for the susceptible-infected-recovered model. Finally, we provide two numerical examples to stress our theoretical findings.
URI: https://opendata.uni-halle.de//handle/1981185920/120587
http://dx.doi.org/10.25673/118629
Open Access: Open access publication
License: (CC BY 4.0) Creative Commons Attribution 4.0(CC BY 4.0) Creative Commons Attribution 4.0
Journal Title: Mathematical biosciences and engineering
Publisher: Inst.
Publisher Place: Springfield, Mo.
Volume: 20
Issue: 7
Original Publication: 10.3934/mbe.2023577
Page Start: 12923
Page End: 12954
Appears in Collections:Open Access Publikationen der MLU

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