De Luca, Roberta (2010) Nonlinear stability of nonautonomous Lotka-Volterra models. [Tesi di dottorato] (Unpublished)

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Item Type: Tesi di dottorato
Lingua: English
Title: Nonlinear stability of nonautonomous Lotka-Volterra models
Creators:
CreatorsEmail
De Luca, Robertaroberta.deluca@unina.it
Date: 27 November 2010
Number of Pages: 98
Institution: Università degli Studi di Napoli Federico II
Department: Matematica e applicazioni "Renato Caccioppoli"
Scuola di dottorato: Scienze matematiche e informatiche
Dottorato: Scienze matematiche
Ciclo di dottorato: 23
Coordinatore del Corso di dottorato:
nomeemail
De Giovanni, Francescodegiovan@unina.it
Tutor:
nomeemail
Rionero, Salvatorerionero@unina.it
Date: 27 November 2010
Number of Pages: 98
Uncontrolled Keywords: Stability; Liapunov Direct Method; Nonautonomous ODE; Lotka-Volterra
Settori scientifico-disciplinari del MIUR: Area 01 - Scienze matematiche e informatiche > MAT/07 - Fisica matematica
Date Deposited: 02 Dec 2010 14:31
Last Modified: 30 Apr 2014 19:44
URI: http://www.fedoa.unina.it/id/eprint/7999
DOI: 10.6092/UNINA/FEDOA/7999

Abstract

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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