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Allen, L.J.S., van den Driessche, P.: The basic reproduction number in some discrete-time epidemic models. J. Differ. Equ. Appl. 14(10–11), 1127–1147 (2008), DOI: 10.1080/10236190802332308 1 10.1080/10236190802332308 false true Reference 55322093 /api/reference/55322093 2. Baba, I.A., Yusuf, A., Nisar, K.S., Abdel-Aty, A.H., Nofal, T.A.: Mathematical model to assess the imposition of lockdown during COVID-19 pandemic. Results Phys. 20, 103716 (2021), DOI: 10.1016/j.rinp.2020.103716 2 10.1016/j.rinp.2020.103716 false true Reference 55322094 /api/reference/55322094 3. Bulai, I.M.: Modeling COVID-19 considering asymptomatic cases and avoided contacts. In: Mondaini, R. (ed.) Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells, pp. 169–182. Springer, Cham, Switzerland (2021) 3 false true Reference 55322095 /api/reference/55322095 4. Capasso, V.: Mathematical Structures of Epidemic Systems, with a Foreword by Simon A. Levin. Corrected Reprint of the 1993 Original. Lecture Notes in Biomathematics, vol. 97. Springer, Berlin (2008), DOI: 10.1007/978-3-540-70514-7 4 10.1007/978-3-540-70514-7 false true Reference 55322096 /api/reference/55322096 5. Chowell-Puente, G.: Mathematical Models of Emergent and Re-Emergent Infectious Diseases: Assessing the Effects of Public Health Interventions on Disease Spread. Cornell University (2005) 5 false true Reference 55322097 /api/reference/55322097 6. Diekmann, O., Heesterbeek, J.A.P.: Mathematical Epidemiology of Infectious Diseases. Wiley Series in Mathematical and Computational Biology. Wiley, West Sussex (2000) 6 false true Reference 55322098 /api/reference/55322098 7. Diekmann, O., Heesterbeek, J.A.P., Metz, J.A.J.: On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations. J. Math. Biol. 28(4), 365–382 (1990), DOI: 10.1007/BF00178324 7 10.1007/BF00178324 false true Reference 55322099 /api/reference/55322099 8. Elaydi, S.: An Introduction to Difference Equations. Undergraduate Texts in Mathematics, 3rd edn. Springer, New York (2005) 8 false true Reference 55322100 /api/reference/55322100 9. Hethcote, H.W.: The mathematics of infectious diseases. SIAM Rev. 42(4), 599–653 (2000), DOI: 10.1137/S0036144500371907 9 10.1137/S0036144500371907 false true Reference 55322101 /api/reference/55322101 10. Hethcote, H.W., van Ark, J.W.: Epidemiological models for heterogeneous populations: proportionate mixing, parameter estimation, and immunization programs. Math. Biosci. 84, 85–118 (1987), DOI: 10.1016/0025-5564(87)90044-7 10 10.1016/0025-5564(87)90044-7 false true Reference 55322102 /api/reference/55322102 11. Kovács, S.: Turing bifurcation in a system with cross diffusion. Nonlinear Anal. 59(4), 567–581 (2004), DOI: 10.1016/j.na.2004.07.025 11 10.1016/j.na.2004.07.025 false true Reference 55322103 /api/reference/55322103 12. Kovács, S., Gyúró, N.: On a discretized SIS epidemic model with no vertical transmission. In: Mondaini, R. (ed.) Trends in Biomathematics: …. Springer (2023) (submitted for publication), DOI: 10.1007/978-3-031-33050-6_1 12 10.1007/978-3-031-33050-6_1 false true Reference 55322104 /api/reference/55322104 13. Kovács, S., György, S., Gyúró, N.: Dynamics of an SIS epidemic model with no vertical transmission. In: Mondaini, R. (ed.) Trends in Biomathematics: Modelling Epidemiological, Neuronal and Social Dynamics, pp. 1–15. Springer, Cham, Switzerland (2022) 13 false true Reference 55322105 /api/reference/55322105 14. Li, Chi Kwong, Schneider, H.: Applications of Perron-Frobenius theory to population dynamics. J. Math. Biol. 44(5), 450–462 (2002), DOI: 10.1007/s002850100132 14 10.1007/s002850100132 false true Reference 55322106 /api/reference/55322106 15. Ndione, A.B., Mendy, A., Onana, C.A.: Economic development process: a compartmental analysis of a model with two delays. In: Mondaini, R. (ed.) Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells, pp. 355–390. Springer, Cham, Switzerland (2021) 15 false true Reference 55322107 /api/reference/55322107 16. van den Driessche, P., Watmough, J.: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 180, 29–48 (2002), DOI: 10.1016/S0025-5564(02)00108-6 16 10.1016/S0025-5564(02)00108-6 false true Reference 55322108 /api/reference/55322108 17. Wang, W., Zhao, X.Q.: Basic reproduction numbers for reaction-diffusion epidemic models. SIAM J. Appl. Dyn. Syst. 11(4), 1652–1673 (2012), DOI: 10.1137/120872942 17 10.1137/120872942 false true Reference 55322109 /api/reference/55322109 18. Yang, C., Wang, J.: Basic reproduction numbers for a class of reaction-diffusion epidemic models. Bull. Math. Biol. 82, 1–25 (2020), DOI: 10.1007/s11538-020-00788-x 18 10.1007/s11538-020-00788-x false true /api/publication/35079309 Kovács Sándor et al. On the Role of the Basic Reproduction Number in Systems Modeling Disease Propagation. (2024) Megjelent: Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies pp. 105-122<div class="BookChapter 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="10031961"><a href="/gui2/?type=authors&mode=browse&sel=10031961" target="_blank">Kovács Sándor ✉ (<span class="authorship-author-name">Kovács Sándor</span> <span class="authorAux-mtmt"> matematika</span>) </a> </span> <span class="author-affil"><span title="Eötvös Loránd Tudományegyetem">ELTE</span>/<span title="Informatikai Kar">IK</span>/<span title="Informatikatudományi Intézet">Informtud_I</span>/Numerikus Analízis Tanszék</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10064673"><a href="/gui2/?type=authors&mode=browse&sel=10064673" target="_blank">György Szilvia (<span class="authorship-author-name">György Szilvia</span> <span class="authorAux-mtmt"> matematika</span>) </a> </span> <span class="author-affil"><span title="Eötvös Loránd Tudományegyetem">ELTE</span>/<span title="Informatikai Kar">IK</span>/<span title="Informatikatudományi Intézet">Informtud_I</span>/Numerikus Analízis Tanszék</span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;35079309" target="_blank">On the Role of the Basic Reproduction Number in Systems Modeling Disease Propagation</a></div> <div class="InBook"><div class="chapter-in">In:</div> <div class="authors"> <div class="autype autype-1"> <span class="author-name" >Mondaini Rubem P. </span> (szerk.) </div> </div> <div class="booktitle"><a href="/gui2/?mode=browse&params=publication;35079304" target="_blank">Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies : Selected Works from the BIOMAT Consortium Lectures, Rio de Janeiro, Brazil, 2023 </a></div> <span class="publishedAt">Cham: <span class="publishers">Springer Cham</span>, <span class="page"> pp 105-122 Paper Chapter 5. </span> <span class="year">(2024)</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:black" title="10.1007/978-3-031-59072-6_5" target="_blank" href="https://doi.org/10.1007/978-3-031-59072-6_5"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="https://link.springer.com/10.1007/978-3-031-59072-6_5" target="_blank" href="https://link.springer.com/10.1007/978-3-031-59072-6_5"> Egyéb URL </a> </span> </span> <span class="bookchapter-ids">Befoglaló link(ek):</span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:black" title="10.1007/978-3-031-59072-6" target="_blank" href="https://doi.org/10.1007/978-3-031-59072-6"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <span class="isbnOrIssn"> ISBN: </span> <a style="color:black" title="9783031590719" target="_blank" href="https://www.worldcat.org/search?q=isbn%3A9783031590719"> 9783031590719 </a> </span> <span class="id identifier oa_none" title="none"> <span class="isbnOrIssn"> ISBN: </span> <a style="color:black" title="9783031590726" target="_blank" href="https://www.worldcat.org/search?q=isbn%3A9783031590726"> 9783031590726 </a> </span> <span class="id identifier oa_none" title="none"> <span class="isbnOrIssn"> ISBN: </span> <a style="color:black" title="9783031590740" target="_blank" href="https://www.worldcat.org/search?q=isbn%3A9783031590740"> 9783031590740 </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="https://link.springer.com/10.1007/978-3-031-59072-6" target="_blank" href="https://link.springer.com/10.1007/978-3-031-59072-6"> Egyéb URL </a> </span> </span> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;35079309&sort=publishedYear,desc&sort=title"> Idézett közlemények száma: 3 </a> </div> <div class="mtid"><span class="long-pub-mtid">Közlemény: 35079309</span> | <span class="status-data status-ADMIN_APPROVED"> Admin láttamozott </span> <span class="long-book-mtid">Befoglaló: 35079304</span> Forrás Idéző | <span class="type-subtype">Könyvrészlet ( Könyvfejezet ) </span> | <span class="pub-category">Tudományos</span> | <span class="publication-sourceOfData">kézi felvitel</span> </div> <div class="lastModified">Utolsó módosítás: 2024.07.01. 12:55 Szabó Tibor (ELTE IK admin 5) </div> </div> </div>