20.500.12556/RUL-138766 Qualitative properties of space-dependent SIR models with constant delay and their numerical solutions 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. epidemic models SIR model integro-differential equations delay differential equations strong stability preservation true false true Angleški jezik Ni določen 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) Članek v reviji 2022-08-17 07:22:13 2022-08-17 07:22:21 2022-09-15 04:17:08 0000-00-00 00:00:00 2022 0 0 Str. 713-728 iss. 3 Vol. 22 2022 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 2023-07-01 517.929:519.6 1609-4840 10.1515/cmam-2021-0208 109345027 RAZ_Takacs_Balint_M._2022.pdf RAZ_Takacs_Balint_M._2022.pdf 1 35EA9C426E4D9E98F6CA3215984A85E5 64044c9a297dbbfab196654159e367800e4db0cc783cf7e945ebfb26b3a6a4c5 35f6a520-1df2-11ed-92af-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=159207 https://www.degruyter.com/document/doi/10.1515/cmam-2021-0208/html 0 9640345d-2202-11ed-92af-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=159300 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0