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Matematično modeliranje populacije čebel
ID Pangrc, Ana (Author), ID Slapar, Marko (Mentor) More about this mentor... This link opens in a new window

URLURL - Presentation file, Visit http://pefprints.pef.uni-lj.si/7312/ This link opens in a new window

Abstract
V zadnjih letih je prišlo do kritičnega upada populacije medonosnih čebel po vsem svetu. V primeru nadaljevanja tega trenda, smo lahko v naslednjih desetletjih priča v prvi vrsti okoljski katastrofi, hkrati pa tudi ekonomski, kmetijski in gospodarski krizi. S pomočjo matematičnih modelov lahko pridobimo pomembne informacije o prepletu dejavnikov, ki vplivajo na ta pojav. V magistrskem delu bo predstavljenih nekaj najpomembnejših matematičnih modelov, ki pomagajo odkrivati vzroke za zmanjševanje populacije čebel. V začetnih poglavjih bodo predstavljene matematične osnove, kot na primer sistemi diferencialnih enačb prvega reda in sistemi linearnih diferencialnih enačb s konstantnimi koeficienti. Sledilo bo nekaj bioloških značilnosti in posebnosti družine čebel, ki so ključnega pomena za ohranjanje biodiverzitete, saj oprašujejo večino vrst rastlin, od njihovega opraševanja pa je odvisna tudi pridelava hrane. Na koncu magistrskega dela bodo predstavljeni matematični modeli in primerjave med njimi. Glavni namen magistrskega dela bo prikazati uporabnost matematike na področju biologije in okoljevarstva.

Language:Slovenian
Keywords:čebele
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:PEF - Faculty of Education
Year:2022
PID:20.500.12556/RUL-139211 This link opens in a new window
COBISS.SI-ID:118354691 This link opens in a new window
Publication date in RUL:07.09.2022
Views:513
Downloads:23
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Secondary language

Language:English
Title:Mathematical modelling of honey bee colonies
Abstract:
In the past decade we have been facing an enormous decline in a honey bee population all over the world. In case this trend continues, it would cause an ecological catastrophe, moreover, the economy and agronomy crisis would occur. Mathematical modelling can significantly help us discover, which factors contribute the most to honey bee colony loss. In this masters thesis we will represent some of the most important mathematical models that help us discover mentioned factors. The first few chapters will be dedicated to mathematical basics such as the systems of differential equations of first order and the systems of linear differential equations with constant coefficients. Next chapters will talk about some biological features of honey bee as a species, following with explaining the honey bee irreplaceable role in pollination and consequently food production. Last chapters will be an overview of all the mathematical models. Besides that, we will make comparisons between some of the models. The main purpose of this masters thesis will be to represent applicability of mathematics on the area of biology and environmental protection.

Keywords:honey bees

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