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National Repository of Grey Literature 2 records found  Search took 0.03 seconds. 
Lotka-Volterra competition model on graphs
 Skácelová, Radka ; Šremr, Jiří (referee) ; Čermák, Jan (advisor)
This bachelor thesis analyzes several mathematical models describing the co-existence of two species, especially the classic Lotka-Volterra model and its extensions. These models are described by a system of non-linear differential equations. The goal of this thesis is to develop an extended predator-prey model using the graph theory, to find stationary states of this model and to analyze their stability. The thesis is furthermore focused on a comparison between the obtained results for this model with the existing results for the competition model on graphs.
Detailed record
Lotka-Volterra competition model on graphs
 Skácelová, Radka ; Šremr, Jiří (referee) ; Čermák, Jan (advisor)
This bachelor thesis analyzes several mathematical models describing the co-existence of two species, especially the classic Lotka-Volterra model and its extensions. These models are described by a system of non-linear differential equations. The goal of this thesis is to develop an extended predator-prey model using the graph theory, to find stationary states of this model and to analyze their stability. The thesis is furthermore focused on a comparison between the obtained results for this model with the existing results for the competition model on graphs.
Detailed record

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