Bounding the domain of some three species food systems

Konstantin E. Starkov, Luis N. Coria

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Resumen

This paper presents results concerning the solution of the localization problem of any compact invariant set contained in the positive orthant for two 3-species food systems. The final localization domain in both of examples is a tetrahedron which may have linear excisions for some values of parameters. Some sufficient conditions of the nonexistence of compact invariant sets in the positive orthant are given as well. The results have been obtained by using the first order extremum conditions and the iteration theorem. Parameters of all localization sets are computed explicitly.

Idioma originalInglés
Título de la publicación alojada2nd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS09 - Proceedings
EditorialIFAC Secretariat
Páginas193-196
Número de páginas4
EdiciónPART 1
ISBN (versión impresa)9783902661654
DOI
EstadoPublicada - 2009

Serie de la publicación

NombreIFAC Proceedings Volumes (IFAC-PapersOnline)
NúmeroPART 1
Volumen2
ISSN (versión impresa)1474-6670

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