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National Repository of Grey Literature 2 records found  Search took 0.02 seconds. 
The Lotka-Volterra population model and its generalizations
 Zubková, Kateřina ; Tomášek, Petr (referee) ; Čermák, Jan (advisor)
This bachelor's thesis is focused on several dynamical systems of nonlinear differential equations originating from the Lotka-Volterra predator-prey model. The aim of the thesis is to discuss stability and attractivity of the singular solutions of the classical model and its generalizations, investigate its periodicity and impact of the change of the initial data and entry parameters on the system's behaviour. The attention is also paid to involvement of time delay into the studied models, and its influence of stability on singular solutions. From the formal viewpoint, the thesis contains description and application of main stability technique applied to these nonlinear models and testing of results on some data.
Detailed record
The Lotka-Volterra population model and its generalizations
 Zubková, Kateřina ; Tomášek, Petr (referee) ; Čermák, Jan (advisor)
This bachelor's thesis is focused on several dynamical systems of nonlinear differential equations originating from the Lotka-Volterra predator-prey model. The aim of the thesis is to discuss stability and attractivity of the singular solutions of the classical model and its generalizations, investigate its periodicity and impact of the change of the initial data and entry parameters on the system's behaviour. The attention is also paid to involvement of time delay into the studied models, and its influence of stability on singular solutions. From the formal viewpoint, the thesis contains description and application of main stability technique applied to these nonlinear models and testing of results on some data.
Detailed record

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