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master's thesis
Logistička funkcija u migracijama
Zagreb: University of Zagreb, Faculty of Science, 2018. urn:nbn:hr:217:737700
Hadžismajlović, Neira
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Hadžismajlović, N. (2018). Logistička funkcija u migracijama (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:737700

Hadžismajlović, Neira. "Logistička funkcija u migracijama." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:737700

Hadžismajlović, Neira. "Logistička funkcija u migracijama." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:737700

Hadžismajlović, N. (2018). 'Logistička funkcija u migracijama', Master's thesis, University of Zagreb, Faculty of Science, accessed 09 January 2025, https://urn.nsk.hr/urn:nbn:hr:217:737700

Hadžismajlović N. Logistička funkcija u migracijama [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2018 [cited 2025 January 09] Available at: https://urn.nsk.hr/urn:nbn:hr:217:737700

N. Hadžismajlović, "Logistička funkcija u migracijama", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:217:737700

Metadata
TitleLogistička funkcija u migracijama
AuthorNeira Hadžismajlović
MentorHrvoje Šikić (mentor)
Committee memberHrvoje Šikić (predsjednik povjerenstva)
Committee memberMaja Starčević (član povjerenstva)
Committee memberPavle Goldstein (član povjerenstva)
Committee memberTomislav Pejković (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2018-09-25, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Logistička funkcija opisana je formulom \[N(t)=\frac{K}{1+\left(\frac{K-N_0}{N_0}\right){e}^{-k_0t}}\] te je za njen logistički model značajno da stopa rasta opada. Glavninu ovog rada predstavlja logistički rast u migracijama, tj. logistički rast s konstantnom emigracijom ili imigracijom. Diferencijalna jednadžba za logistički rast s konstantnom imigracijom glasi \[\frac{dN}{dt}=aN-b{N}^{2}+s,\] pri čemu je \(s\) stopa useljavanja, dok logistički rast s konstantnom emigracijom zapisujemo \[\frac{dN}{dt}=aN-b{N}^{2}-h\] pri čemu je \(h\) stopa iseljavanja. Kroz različite primjere i grafove uočavamo logistički rast.
Abstract (english)
The logistic function is described by the formula \[N(t)=\frac{K}{1+\left(\frac{K-N_0}{N_0}\right){e}^{-k_0t}}\] and for its logistic model it is significant that the rate of growth declines. The main goal of this work is to present logistic growth in migration - logistics growth with constant emigration or immigration. The differential equation for logistic growth with constant imigration is \[\frac{dN}{dt}=aN-b{N}^{2}+s,\] where \(s\) is the immigration rate, while logistical growth with constant emigration we write \[\frac{dN}{dt}=aN-b{N}^{2}-h\] where \(h\) is the harvesting rate. Through various examples and graphs, we see a logistic growth.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:737700
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-04-23 11:57:10