Qualitative properties of space-dependent SIR models with constant delay and their numerical solutionsTakács, Bálint M. (Avtor) Faragó, István (Avtor) Horváth, Róbert (Avtor) Repovš, Dušan (Avtor) epidemic modelsSIR modelintegro-differential equationsdelay differential equationsstrong stability preservationIn 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.20222022-08-17 07:22:13Članek v reviji138766UDK: 517.929:519.6ISSN pri članku: 1609-4840DOI: 10.1515/cmam-2021-0208COBISS_ID: 109345027slNa 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)