National Repository of Grey Literature 3 records found  Search took 0.01 seconds. 
Mathematical modeling of population problems in biology
Čampulová, Martina ; Opluštil, Zdeněk (referee) ; Čermák, Jan (advisor)
This bachelor´s thesis deals with the modeling of population problems in biology. The aim of this thesis is to mention some basic models describing dynamics of the evolution of one or two populations. Models mentioned in this thesis are described by first-order ordinary differential equations. Exploring the evolution of the population brings the main question - searching for singular points (and verifying their stability) of differential equations describing the evolution of the population. Therefore the thesis also deals with these problems.
Integral equations and applications to population models
Kárníková, Kateřina ; Bárta, Tomáš (advisor) ; Kaplický, Petr (referee)
The goal of this bachelor thesis is to inform the readers about an integral and integrodifferential equations theory and the relation between them. It formulates also theorems about a kernel and a resolvent, the terms closely related to these types of equations. The Laplace transform and a convolution are a calculating device which plays the important role. The next main topic is population models and models based on the integrodifferential equations and subsequently we try to use gained knowledge to solve the concrete given model.
Mathematical modeling of population problems in biology
Čampulová, Martina ; Opluštil, Zdeněk (referee) ; Čermák, Jan (advisor)
This bachelor´s thesis deals with the modeling of population problems in biology. The aim of this thesis is to mention some basic models describing dynamics of the evolution of one or two populations. Models mentioned in this thesis are described by first-order ordinary differential equations. Exploring the evolution of the population brings the main question - searching for singular points (and verifying their stability) of differential equations describing the evolution of the population. Therefore the thesis also deals with these problems.

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