{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,14]],"date-time":"2026-04-14T16:04:13Z","timestamp":1776182653678,"version":"3.50.1"},"reference-count":31,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2025,8,4]],"date-time":"2025-08-04T00:00:00Z","timestamp":1754265600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Science Centre of Poland within the IMPRESS-U project","award":["2023\/05\/Y\/ST6\/00263"],"award-info":[{"award-number":["2023\/05\/Y\/ST6\/00263"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>This study presents an extended approach to compartmental modeling of infectious disease spread, focusing on regional heterogeneity within affected areas. Using classical SIS, SIR, and SEIR frameworks, we simulate the dynamics of COVID-19 across two major regions of Ukraine\u2014Dnipropetrovsk and Kharkiv\u2014during the period 2020\u20132024. The proposed mathematical model incorporates regionally distributed subpopulations and applies a system of differential equations solved using the classical fourth-order Runge\u2013Kutta method. The simulations are validated against real-world epidemiological data from national and international sources. The SEIR model demonstrated superior performance, achieving maximum relative errors of 4.81% and 5.60% in the Kharkiv and Dnipropetrovsk regions, respectively, outperforming the SIS and SIR models. Despite limited mobility and social contact data, the regionally adapted models achieved acceptable accuracy for medium-term forecasting. This validates the practical applicability of extended compartmental models in public health planning, particularly in settings with constrained data availability. The results further support the use of these models for estimating critical epidemiological indicators such as infection peaks and hospital resource demands. The proposed framework offers a scalable and computationally efficient tool for regional epidemic forecasting, with potential applications to future outbreaks in geographically heterogeneous environments.<\/jats:p>","DOI":"10.3390\/computation13080187","type":"journal-article","created":{"date-parts":[[2025,8,4]],"date-time":"2025-08-04T10:48:08Z","timestamp":1754304488000},"page":"187","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Mathematical Modeling of Regional Infectious Disease Dynamics Based on Extended Compartmental Models"],"prefix":"10.3390","volume":"13","author":[{"given":"Olena","family":"Kiseleva","sequence":"first","affiliation":[{"name":"Faculty of Applied Mathematics, Oles Honchar Dnipro National University, 49000 Dnipro, Ukraine"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1707-843X","authenticated-orcid":false,"given":"Sergiy","family":"Yakovlev","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Lodz University of Technology, 90-924 Lodz, Poland"},{"name":"Institute of Computer Science and Artificial Intelligence, V.N. Karazin Kharkiv National University, 61022 Kharkiv, Ukraine"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1878-6120","authenticated-orcid":false,"given":"Olga","family":"Prytomanova","sequence":"additional","affiliation":[{"name":"Institute of Information Technologies in Economy, Kyiv National Economic University Named After Vadym Hetman, 03057 Kyiv, Ukraine"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6378-7993","authenticated-orcid":false,"given":"Oleksandr","family":"Kuzenkov","sequence":"additional","affiliation":[{"name":"Faculty of Applied Mathematics, Oles Honchar Dnipro National University, 49000 Dnipro, Ukraine"}]}],"member":"1968","published-online":{"date-parts":[[2025,8,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"925","DOI":"10.1103\/RevModPhys.87.925","article-title":"Epidemic processes in complex networks","volume":"87","author":"Castellano","year":"2015","journal-title":"Rev. Mod. 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