{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,24]],"date-time":"2025-12-24T12:25:26Z","timestamp":1766579126805,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T00:00:00Z","timestamp":1726012800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Center under the IMPRESS-U program","doi-asserted-by":"publisher","award":["2023\/05\/Y\/ST6\/00263"],"award-info":[{"award-number":["2023\/05\/Y\/ST6\/00263"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>This study proposes and theoretically substantiates a unique mathematical model for predicting the spread of infectious diseases using the example of COVID-19. The model is described by a special system of autonomous differential equations, which has scientific novelty for cases of complex dynamics of disease transmission. The adequacy of the model is confirmed by testing on the example of the spread of COVID-19 in one of the largest regions of Ukraine, both in terms of population and area. The practical novelty emerges through its versatile application in real-world contexts, guiding organizational decisions and public health responses. The model\u2019s capacity to facilitate system functioning evaluation and identify significant parameters underlines its potential for proactive management and effective response in the evolving landscape of infectious diseases.<\/jats:p>","DOI":"10.3390\/computation12090186","type":"journal-article","created":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T07:59:46Z","timestamp":1726041586000},"page":"186","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Exploring Bifurcation in the Compartmental Mathematical Model of COVID-19 Transmission"],"prefix":"10.3390","volume":"12","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"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2623-3294","authenticated-orcid":false,"given":"Dmytro","family":"Chumachenko","sequence":"additional","affiliation":[{"name":"Department of Mathematical Modeling and Artificial Intelligence, National Aerospace University \u201cKharkiv Aviation Institute\u201d, 61070 Kharkiv, Ukraine"},{"name":"Ubiquitous Health Technology Lab, University of Waterloo, Waterloo, ON N2L 3G5, Canada"}]},{"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":[[2024,9,11]]},"reference":[{"key":"ref_1","first-page":"157","article-title":"WHO Declares COVID-19 a Pandemic","volume":"91","author":"Cucinotta","year":"2020","journal-title":"Acta Bio-Medica Atenei Parm."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"583","DOI":"10.3855\/jidc.14580","article-title":"Nonpharmaceutical Public Health Interventions to Curb the COVID-19 Pandemic: A Narrative Review","volume":"16","author":"Bestetti","year":"2022","journal-title":"J. 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