20.500.12556/RUL-72167 Logistična diferencialna enačba diplomsko delo Logistic differential equation 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. 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. eksponentna rast logistična rast logistična diferencialna enačba s kritičnim pragom model of growth true false false [S. Šubic] Slovenski jezik Angleški jezik Diplomsko delo/naloga 2015-09-08 05:03:33 2015-09-08 05:03:33 2025-04-17 04:52:15 0000-00-00 00:00:00 2015 0 0 28 str. 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512.625.55(043.2) 10673225 Sabina_Subic_Diplomsko_delo.pdf Sabina_Subic_Diplomsko_delo.pdf 1 B832D080A7906448B9A1A50D28F0BCCD 6e3fea9c1f3c486cd5f949cf8c96561fe720df499155366a7dc1d04c13a55aa1 44187e7d-1aa7-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=204074 Pedagoška fakulteta 0 0 0