De Luca, Roberta (2010) Nonlinear stability of nonautonomous Lotka-Volterra models. [Tesi di dottorato] (Unpublished)
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| Item Type: | Tesi di dottorato |
|---|---|
| Resource language: | English |
| Title: | Nonlinear stability of nonautonomous Lotka-Volterra models |
| Creators: | Creators Email De Luca, Roberta roberta.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: | nome email De Giovanni, Francesco degiovan@unina.it |
| Tutor: | nome email Rionero, Salvatore rionero@unina.it |
| Date: | 27 November 2010 |
| Number of Pages: | 98 |
| 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 |
Collection description
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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