De Luca, Roberta (2010) Nonlinear stability of nonautonomous Lotka-Volterra models. [Tesi di dottorato] (Unpublished)
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|Item Type:||Tesi di dottorato|
|Uncontrolled Keywords:||Stability; Liapunov Direct Method; Nonautonomous ODE; Lotka-Volterra|
|Date Deposited:||02 Dec 2010 14:31|
|Last Modified:||30 Apr 2014 19:44|
The thesis deals with the study of the asymptotic behaviour of the solutions of nonautonomous Lotka-Volterra models, around the biologically meaningful equilibrium of the classical autonomous system. The Liapunov Direct Method for nonautonomous ODE is used in order to find conditions assuring the (local) asymptotic stability of the equilibrium. When these conditions hold, the system can not admit cycles.
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