Qualitative properties of space-dependent SIR models with constant delay and their numerical solutions

Takács, Bálint M. (author), Faragó, István (author), Horváth, Róbert (author), Repovš, Dušan (author)

In this article, a space-dependent epidemic model equipped with a constant latency period is examined. We construct a delay partial integro-differential equation and show that its solution possesses some biologically reasonable features. We propose some numerical schemes and show that, by choosing the time step to be sufficiently small, the schemes preserve the qualitative properties of the original continuous model. Finally, some numerical experiments are presented that confirm the aforementioned theoretical results.

• Language: English
• Keywords: epidemic models, SIR model, integro-differential equations, delay differential equations, strong stability preservation
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2022
• Number of pages: Str. 713-728
• Numbering: Vol. 22, iss. 3
• PID: 20.500.12556/RUL-138766
• UDC: 517.929:519.6
• ISSN on article: 1609-4840
• DOI: 10.1515/cmam-2021-0208
• COBISS.SI-ID: 109345027

Copyright

Na pristajalni strani članka: »© 2022 Walter de Gruyter«, na spletni strani založnika (https://www.degruyter.com/publishing/services/rights-and-permissions/repositorypolicy): »De Gruyter allows authors the use of the final published version of an article (publisher pdf) for self-archiving (author's personal website) and/or archiving in an institutional repository (on a non-profit server) after an embargo period of 12 months after publication.« (Datum opombe: 22. 8. 2022)

• Publication date in RUL: 17.08.2022

Record is a part of a journal

• Title: Computational methods in applied mathematics
• Shortened title: Comput. methods appl. math.
• Publisher: De Gruyter, Institute of Mathematics of the National Academy of Science of Belarus
• ISSN: 1609-4840
• COBISS.SI-ID: 47447297