diplomsko delo
Sabina Šubic (Author), Marko Slapar (Mentor), Tadej Starčič (Co-mentor)

Abstract

V diplomskem delu bomo obravnavali logistično diferencialno enačbo, ki je uporabna pri obravnavi modelov rasti populacij določenih vrst in na številnih drugih področjih, kot bo predstavljeno preko primerov. Začeli bomo z eksponentnim modelom rasti in pokazali pomanjkljivosti le-tega pri rasti populacij zaradi neupoštevanja omejitvenih dejavnikov. Tako bomo postopoma prišli do uvedbe logistične diferencialne enačbe, ki upošteva omejitvene dejavnike. V zadnjem delu bomo vpeljali še logistično diferencialno enačbo s kritičnim pragom, ki upošteva še minimalno velikost populacije, da se le-ta lahko uspešno širi.

Keywords

eksponentna rast;logistična rast;logistična diferencialna enačba s kritičnim pragom;

Data

Language: Slovenian
Year of publishing:
Typology: 2.11 - Undergraduate Thesis
Organization: UL PEF - Faculty of Education
Publisher: [S. Šubic]
UDC: 512.625.55(043.2)
COBISS: 10673225 Link will open in a new window
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Downloads: 201
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Other data

Secondary language: English
Secondary title: Logistic differential equation
Secondary abstract: In this diploma thesis we will discuss the logistic differential equation, which is useful when dealing with models of growth of populations of certain species, as well as in many other areas, which will be presented through examples. We will start with the exponential growth model and show its weakness due to disregarding the limiting factors. This is how we will gradually come to the introduction of the logistic differential equation, which takes into account the limiting factors. In the last section we will introduce a logistic differential equation with a critical threshold, which takes into account the minimum population size in order to spread successfully.
Secondary keywords: mathematics;matematika;
File type: application/pdf
Type (COBISS): Bachelor thesis/paper
Thesis comment: Univ. Ljubljana, Pedagoška fak., Dvopredmetni učitelj
Pages: 28 str.
ID: 8889977