https://m2.mtmt.hu/ hun 2026-09-21 09:41 JournalArticle 36438525 VALIDATED true 0 false 2026-06-09T08:38:35.177+0000 2026-02-27T11:46:29.156+0000 2025-11-17T09:12:15.755+0000 true 10097129 Vékony-Pap Lili /api/admin/10097129 Admin Vékony-Pap Lili (SZTE admin5) true 2026-02-27T11:46:35.502+0000 2026-02-27T11:46:35.502+0000 2025-11-17T09:12:21.396+0000 true 10097129 Vékony-Pap Lili /api/admin/10097129 Admin Vékony-Pap Lili (SZTE admin5) true true false true 24 24 /api/publicationtype/24 PublicationType Folyóiratcikk 1 true 24 JournalArticle true 10000059 Article true 24 24 /api/publicationtype/24 PublicationType Folyóiratcikk 1 true 24 JournalArticle /api/subtype/10000059 Szakcikk SubType Szakcikk (Folyóiratcikk) 101 true 10000059 true 1 /api/category/1 Category Tudományos true 1 Csuma-Kovács, Rita true true /api/journal/20109743 REVIEWED ADVANCES IN CONTINUOUS AND DISCRETE MODELS 2731-4235 true false false 20109743 true 2731-4235 Journal FOREIGN 2025 1 163 163 24 2025 The dynamics of childhood diseases are strongly influenced by children’s contact patterns, particularly those shaped by school term schedules and classroom structures. Class compositions often remain stable for multiple school years, with new cohorts entering annually. To capture these dynamics, researchers have developed realistic age-structured (RAS) epidemiological models. Despite their widespread use, RAS models lack a formal definition of the basic reproduction number ( R 0 ) and a standardized method for its computation. These models may incorporate seasonal forcing aligned with school terms, as well as discontinuities resulting from annual grade transitions. In this work, we first demonstrate that recently developed R 0 theory can accommodate the hybrid features of RAS models. We define the basic reproduction number as the spectral radius of a specifically constructed operator and prove its role as a threshold parameter for the stability of the disease-free solution. Furthermore, we present a practical numerical method for calculating R 0 . To illustrate the implications of age structuring, we analyze a two-age-group SIR model and show that distinct modeling choices can produce significantly different reproduction numbers, demonstrating how different modeling approaches can yield significantly varied reproduction numbers. Finally, we apply our methodology to a fitted RAS model of measles transmission in the UK, highlighting its utility and relevance for public health planning. Funding 2064690 /api/funding/2064690 Egészségbiztonság Nemzeti Laboratórium(RRF-2.3.1-21-2022-00006) Támogató: NKFIH false true Funding 2064691 /api/funding/2064691 Tématerületi Kiválósági Program 2021(TKP2021-NVA-09) Támogató: NKFIH false true Funding 2064692 /api/funding/2064692 2024-1.2.3-HU-RIZONT-2024-00034(2024-1.2.3-HU-RIZONT-2024-00034) Támogató: NKFIH false true Funding 2064693 /api/funding/2064693 HCEMM(2022-2.1.1-NL-2022-00005) Támogató: NKFIH false true Funding 2064694 /api/funding/2064694 Nemlineáris dinamikai rendszerek a sejtbiológiai folyamatok matematikai modelljeiben (Szegedi Tud...(KKP 129877) Támogató: NKFIH false true Funding 2064695 /api/funding/2064695 HCEMM TKP(TKP-2021-EGA-05) Támogató: NKFIH false true true 2025 true true true false true false GREEN 2026-06-09 true http://publicatio.bibl.u-szeged.hu/40369 2 0 2 2 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 0 5 5 Folyóiratcikk Journal Article 24 2 Könyvrészlet Chapter in Book 25 0 Könyv Book 23 0 Egyéb konferenciaközlemény Conference paper 31 0 Egyéb konferenciakötet Conference proceedings 32 0 Oltalmi formák Protection forms 26 0 Disszertáció Thesis 28 0 Egyéb Miscellaneous 29 0 Alkotás Achievement 22 0 Kutatási adat Research data 33 0 Folyóiratcikk Journal Article 24 0 0 0 Könyvrészlet Chapter in Book 25 0 0 0 Könyv Book 23 0 0 0 Egyéb konferenciaközlemény Conference paper 31 0 0 0 Egyéb konferenciakötet Conference proceedings 32 0 0 0 Oltalmi formák Protection forms 26 0 0 0 Disszertáció Thesis 28 0 0 0 Egyéb Miscellaneous 29 0 0 0 Alkotás Achievement 22 0 0 0 Kutatási adat Research data 33 0 0 0 2026 0 2 2 2 2 Q2 false false false false 2025-11-16T09:12:21.297+0000 Bolyai Intézet (Matematikai Intézet) (SZTE / TTIK) 2 13 1 2 0 true Language 10002 /api/language/10002 Angol Angol English true 2 true PersonAuthorship 128519710 /api/authorship/128519710 Csuma-Kovács, Rita ✉ [Csuma-Kovács, Rita (matematikai epide...), szerző] Bolyai Intézet (Matematikai Intézet) (SZTE / TTIK) 1 0.5 true false true Author 10097744 /api/author/10097744 Csuma-Kovács Rita (matematikai epidemiológia) Csuma-Kovács Rita true true Csuma-Kovács Rita true false false AuthorshipType 1 /api/authorshiptype/1 Szerző 0 true 0 true false true PersonAuthorship 128519711 /api/authorship/128519711 Röst, Gergely [Röst, Gergely (Differenciálegyen...), szerző] Bolyai Intézet (Matematikai Intézet) (SZTE / TTIK) 2 0.5 false true false Author 10000778 /api/author/10000778 Röst Gergely (Differenciálegyenletek) Röst Gergely true 10000778 true Röst Gergely true false false AuthorshipType 1 /api/authorshiptype/1 Szerző 0 true 0 true false true PublicationIdentifier 30170191 /api/publicationidentifier/30170191 DOI: 10.1186/s13662-025-04012-9 PlainSource 6 /api/publicationsource/6 DOI PublicationSourceType 10001 /api/publicationsourcetype/10001 DOI true true true DOI DOI https://doi.org/@@@ true true 6 true IDENTICAL 10.1186/s13662-025-04012-9 https://doi.org/10.1186/s13662-025-04012-9 false true PublicationIdentifier 30170193 /api/publicationidentifier/30170193 WoS: 001610740300001 PlainSource 1 /api/publicationsource/1 WoS PublicationSourceType 10003 /api/publicationsourcetype/10003 Indexelő adatbázis false true true WoS WoS https://www.webofscience.com/wos/woscc/full-record/@@@ true true 1 true IDENTICAL 001610740300001 https://www.webofscience.com/wos/woscc/full-record/001610740300001 false true PublicationIdentifier 30218637 /api/publicationidentifier/30218637 Scopus: 105021225319 PlainSource 3 /api/publicationsource/3 Scopus PublicationSourceType 10003 /api/publicationsourcetype/10003 Indexelő adatbázis false true true Scopus Scopus http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-@@@ true true 3 true IDENTICAL 105021225319 http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105021225319 true true PublicationIdentifier 30170192 /api/publicationidentifier/30170192 Egyéb URL: https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-025-04012-9 PlainSource 40 /api/publicationsource/40 Egyéb URL PublicationSourceType 10006 /api/publicationsourcetype/10006 Link true true true Egyéb URL Other URL @@@ true true 40 true https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-025-04012-9 https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-025-04012-9 false true PublicationIdentifier 32478779 /api/publicationidentifier/32478779 SZTE Publicatio: 40369 SwordSource 90 /api/publicationsource/90 SZTE Publicatio PublicationSourceType 10007 /api/publicationsourcetype/10007 Repozitórium true true true SZTE Publicatio SZTE Publicatio http://publicatio.bibl.u-szeged.hu/@@@ true true 90 true GREEN true IDENTICAL 40369 http://publicatio.bibl.u-szeged.hu/40369 false true Classification 10003 /api/classification/10003 Matematika true true SjrRating 11553711 /api/sjrrating/11553711 sjr:Q2 (2025) Scopus - 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Reproduction numbers for epidemiological models with realistic age structure (RAS models). (2025) ADVANCES IN CONTINUOUS AND DISCRETE MODELS 2731-4235 2025 1<div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10097744"><a href="/gui2/?type=authors&mode=browse&sel=10097744" target="_blank">Csuma-Kovács Rita ✉ (<span class="authorship-author-name">Csuma-Kovács Rita</span> <span class="authorAux-mtmt"> matematikai epidemiológia</span>) </a> </span> <span class="author-affil"><span title="Szegedi Tudományegyetem">SZTE</span>/<span title="Természettudományi és Informatikai Kar">TTIK</span>/Bolyai Intézet (Matematikai Intézet)</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10000778"><a href="/gui2/?type=authors&mode=browse&sel=10000778" target="_blank">Röst Gergely (<span class="authorship-author-name">Röst Gergely</span> <span class="authorAux-mtmt"> Differenciálegyenletek</span>) </a> </span> <span class="author-affil"><span title="Szegedi Tudományegyetem">SZTE</span>/<span title="Természettudományi és Informatikai Kar">TTIK</span>/Bolyai Intézet (Matematikai Intézet)</span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;36438525" target="_blank">Reproduction numbers for epidemiological models with realistic age structure (RAS models)</a></div> <div> <span class="journal-title">ADVANCES IN CONTINUOUS AND DISCRETE MODELS</span> <span class="journal-issn">( <a target="_blank" href="https://portal.issn.org/resource/ISSN/2731-4235">2731-4235</a>)</span>: <span class="journal-volume">2025</span> <span class="journal-issue">1</span> <span class="page"> Paper 163. 24 p. </span> <span class="year">(2025)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Nyelv: Angol | </span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.1186/s13662-025-04012-9" target="_blank" href="https://doi.org/10.1186/s13662-025-04012-9"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="001610740300001" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/001610740300001"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="105021225319" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105021225319"> Scopus </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-025-04012-9" target="_blank" href="https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-025-04012-9"> Egyéb URL </a> </span> <span class="id identifier oa_GREEN" title=" Green "> <a style="color:blue" title="40369" target="_blank" href="http://publicatio.bibl.u-szeged.hu/40369"> SZTE Publicatio </a> </span> </span> <OnlyViewableByAuthor><div class="ratings"> <div class="journal-subject">Folyóirat szakterülete: Scopus - Algebra and Number Theory&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q2</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Analysis&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q3</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Applied Mathematics&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q3</div> </div></OnlyViewableByAuthor> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="Nyilvános idézőközlemények összesen, említések nélkül" class="citingPub-count">Nyilvános idéző összesen: 2</span> | Független: 2 | Függő: 0 | Nem jelölt: 0 | WoS jelölt: 2 | Scopus jelölt:&nbsp;2 | WoS/Scopus jelölt:&nbsp;2 | DOI jelölt:&nbsp;2 </div> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;36438525&sort=publishedYear,desc&sort=title"> Idézett közlemények száma: 5 </a> </div> <div class="mtid"><span class="long-pub-mtid">Közlemény: 36438525</span> | <span class="status-data status-VALIDATED"> Egyeztetett </span> Forrás Idéző | <span class="type-subtype">Folyóiratcikk ( Szakcikk ) </span> | <span class="pub-category">Tudományos</span> | <span class="publication-sourceOfData">WoS-XML</span> </div> <div class="funder"> Egészségbiztonság Nemzeti Laboratórium(RRF-2.3.1-21-2022-00006) Támogató: NKFIH, Tématerületi Kiválósági Program 2021(TKP2021-NVA-09) Támogató: NKFIH, 2024-1.2.3-HU-RIZONT-2024-00034(2024-1.2.3-HU-RIZONT-2024-00034) Támogató: NKFIH, HCEMM(2022-2.1.1-NL-2022-00005) Támogató: NKFIH, Nemlineáris dinamikai rendszerek a sejtbiológiai folyamatok matematikai modelljeiben (Szegedi Tud...(KKP 129877) Támogató: NKFIH, HCEMM TKP(TKP-2021-EGA-05) Támogató: NKFIH </div> <div class="lastModified">Utolsó módosítás: 2026.02.27. 12:46 Marótiné Pántos Szilvia (SZTE admin5 TTIK Bolyai Intézet) </div> </div></div>