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Analysis of fractional-order two-dimensional models
Šustková, Apolena ; Opluštil, Zdeněk (referee) ; Nechvátal, Luděk (advisor)
This bachelor's thesis deals with the analysis of fractional-order two-dimensional models. The analysis itself is preceded by the introduction to the basic issues concerning the integer-order and fractional-order theory. Investigations are carried out for two specific models, Lotka-Volterra model and the Brusselator, the focus is put primarily on stability of the equilibrium points. The results are supported by appropriate phase portraits that were, for the non-integer case, created using the code for numerical solution of fractional differential equations.
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Mathematical Methods in Economics
Válka, Vojtěch ; Doubravský, Karel (referee) ; Novotná, Veronika (advisor)
This thesis is focused on problems of ordinary differential equations of the first degree. The first part is dedicated to theory of differential equations. In the second part, solved and unsolved examples of individual types of differential equations are presented. In closing, there are few examples of economic applications. The thesis serve as a study material for students of economic faculty.
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Analysis of fractional-order two-dimensional models
Šustková, Apolena ; Opluštil, Zdeněk (referee) ; Nechvátal, Luděk (advisor)
This bachelor's thesis deals with the analysis of fractional-order two-dimensional models. The analysis itself is preceded by the introduction to the basic issues concerning the integer-order and fractional-order theory. Investigations are carried out for two specific models, Lotka-Volterra model and the Brusselator, the focus is put primarily on stability of the equilibrium points. The results are supported by appropriate phase portraits that were, for the non-integer case, created using the code for numerical solution of fractional differential equations.
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Mathematical Methods in Economics
Válka, Vojtěch ; Doubravský, Karel (referee) ; Novotná, Veronika (advisor)
This thesis is focused on problems of ordinary differential equations of the first degree. The first part is dedicated to theory of differential equations. In the second part, solved and unsolved examples of individual types of differential equations are presented. In closing, there are few examples of economic applications. The thesis serve as a study material for students of economic faculty.
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