A criterion of global convergence to equilibrium for differential systems. Application to Lotka-Volterra systems

Abstract : We study a rather general class of systems of ordinary differential equations in n-space that can be expressed as the difference of a quasi-monotone and a monotone increasing system. We associate to the system another cooperative system in 2n-space. We obtain a sufficent condition of convergence to equilibrium, and apply it to linear and Lotka-Volterra systems.
Type de document :
Rapport
[Research Report] RR-0894, INRIA. 1988, pp.10
Liste complète des métadonnées

https://hal.inria.fr/inria-00075661
Contributeur : Rapport de Recherche Inria <>
Soumis le : mercredi 24 mai 2006 - 18:45:10
Dernière modification le : samedi 27 janvier 2018 - 01:31:35
Document(s) archivé(s) le : vendredi 13 mai 2011 - 14:06:48

Fichiers

Identifiants

  • HAL Id : inria-00075661, version 1

Collections

Citation

Jean-Luc Gouzé. A criterion of global convergence to equilibrium for differential systems. Application to Lotka-Volterra systems. [Research Report] RR-0894, INRIA. 1988, pp.10. 〈inria-00075661〉

Partager

Métriques

Consultations de la notice

300

Téléchargements de fichiers

87