Matematičko modeliranje dinamike širenja zaraznih bolesti

master's thesis

• Title (english): Mathematical modeling of the dynamics of the spread of infectious diseases
• Author: Donatella Bellini
• Mentor: Boris Muha (mentor)
• Committee member: Boris Muha (predsjednik povjerenstva)
• Committee member: Davor Horvatić (član povjerenstva)
• Committee member: Sanja Varošanec (član povjerenstva)
• Committee member: Dijana Ilišević (član povjerenstva)
• Committee member: Mihael Makek (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2021-07-21, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U suvremenom društvu vrlo je važno ne samo donositi dobre odluke u određenoj situaciji nego i predvidjeti neke buduće događaje. Da bi predviđanje budućih zbivanja bilo što vjerodostojnije, potrebno je prikupiti što više informacija o postojećem problemu. Jedan od takvih problema su zarazne bolesti, njihov uzrok i širenje. S razvojem tehnologije počele su se razvijati i znanstveno-istraživačke djelatnosti koje su korištenjem određenih metoda (poput matematičkog modeliranja) omogućile pristup rješavanju problema. U ovom su radu promatrani jednostavni matematički modeli koji se koriste u epidemiologiji pri modeliranju dinamike širenja zaraznih bolesti poput bovine tuberkuloze i HIV-a te su napravljene simulacije tih modela u programskom jeziku Python koristeći se stvarnim podacima.

Abstract (english)

In modern society, it is crucial not only to make good decisions in a given situation but also to anticipate future events. In order to predict future events as realistic as possible, it is necessary to gather as much information as possible about the existing problem. One such problem is infectious diseases, their cause, and their spread. With the development of technology, scientific research activities began to develop, which, using specific methods (such as mathematical modeling), provided an approach to solving problems. This thesis observes simple mathematical models used in epidemiology in modeling the dynamics of the spread of infectious diseases such as bovine tuberculosis and HIV. At the end of these models, we have made simulations written in Python by using actual data.

• Keywords: zarazne bolesti; matematičko modeliranje; epidemiologija; tuberkuloza; HIV; programski jezik Python
• Keywords (english): infectious diseases; mathematical modeling; epidemiology; tuberculosis; HIV; Python
• Language: croatian
• URN:NBN: urn:nbn:hr:217:983867
• Study programme: Title: Mathematics and Physics Education; specializations in: Mathematics and Physics Education; Course: Mathematics and Physics Education; Study programme type: university; Study level: integrated undergraduate and graduate; Academic / professional title: magistar/magistra edukacije matematike i fizike (magistar/magistra edukacije matematike i fizike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2021-09-14 10:16:39