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undergraduate thesis
SIR model širenja epidemije
2021. urn:nbn:hr:126:586367
Sabljo, Josipa
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

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Sabljo, J. (2021). SIR model širenja epidemije (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:586367

Sabljo, Josipa. "SIR model širenja epidemije." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:586367

Sabljo, Josipa. "SIR model širenja epidemije." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:586367

Sabljo, J. (2021). 'SIR model širenja epidemije', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 20 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:586367

Sabljo J. SIR model širenja epidemije [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2021 [cited 2024 November 20] Available at: https://urn.nsk.hr/urn:nbn:hr:126:586367

J. Sabljo, "SIR model širenja epidemije", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:126:586367

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Metadata
TitleSIR model širenja epidemije
Title (english)SIR Model of Epidemic Spread
AuthorJosipa Sabljo
MentorDragan Jukić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2021-09-30, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Applied Mathematics and Mathematical Modeling
Abstract
U ovome radu proučavat ćemo matematički model prijenosa zarazne bolesti u nekoj populaciji poznat pod nazivom SIR model. Najprije ćemo se baviti osnovnim pretpostavkama koje SIR model zahtjeva te na osnovu njih ćemo konstruirati sustav nelinearnih običnih diferencijalnih jednadžbi proučavanog modela. U drugom poglavlju detaljno ćemo analizirati SIR model. Pokazat ćemo da epidemija uvijek izumire, da možemo izračunati maksimalan broj zaraženih tijekom epidemije te dobiti približnu vrijednost maksimalnog broja osjetljivih osoba u populaciji. Na kraju ćemo uvesti i diskretnu verziju SIR modela koja je vrlo korisna zbog načina prikupljanja podataka iz stvarnog svijeta.
Abstract (english)
In this paper, we will study a mathematical model of infectious disease transmission in a population known as the SIR model. We will first deal with the basic assumptions required by the SIR model and on the basis of which we will construct a system of nonlinear ordinary differential equations of the studied model. In the second chapter, we will analyze the SIR model in detail. We will show that an epidemic is always extinct, that we can calculate the maximum number of infected during an epidemic and obtain an approximate value of the maximum number of susceptible in the population. Finally, we will introduce a discrete version of the SIR model which is very useful due to the way we collect real world data.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:586367
Study programmeTitle: Bachelor of Mathematics and Computer Science
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike i računarstva (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike i računarstva)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2021-10-25 10:54:30