Delay models of glucose-insulin systems: global stability and oscillated solutions conditional on delays (Articolo in rivista)

Type

• Articolo in rivista (Classe)
• Prodotto della ricerca (Classe)

Label

• Delay models of glucose-insulin systems: global stability and oscillated solutions conditional on delays (Articolo in rivista) (literal)

Anno

• 2008-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

• 10.1016/j.jmaa.2008.02.016 (literal)

Alternative label

• Giang, D.V.; Lenbury, Y.; De Gaetano, A.; Palumbo, P. (2008)
  Delay models of glucose-insulin systems: global stability and oscillated solutions conditional on delays
  in Journal of mathematical analysis and applications (Print)
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Giang, D.V.; Lenbury, Y.; De Gaetano, A.; Palumbo, P. (literal)

Pagina inizio

• 996 (literal)

Pagina fine

• 1006 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url

• http://www.sciencedirect.com/science/article/pii/S0022247X08001698 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 343 (literal)

Rivista

• Journal of mathematical analysis and applications (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali

• 11 (literal)

Note

• ISI Web of Science (WOS) (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• D.V. Giang: Hanoi Institute of Mathematics, 18 Hoang Quoc Viet, 10307 Hanoi, Viet Nam Y. Lenbury: Department of Mathematics, Faculty of Science, Mahidol University, Rama 6 Road, Bangkok 10400, Thailand (literal)

Titolo

• Delay models of glucose-insulin systems: global stability and oscillated solutions conditional on delays (literal)

Abstract

• Recently P. Palumbo, S. Panunzi and A. De Gaetano analyzed a delay model of the glucose-insulin system. They proved its persistence, the existence of a unique positive equilibrium point, as well as the local stability of this point. In this paper we consider further the uniform persistence of such equilibrium solutions and their global stability. Using the omega limit set of a persistent solution and constructing a full time solution, we also investigate the effect of delays in connection with the behavior of oscillating solutions to the system. The model is shown to admit global stability under certain conditions of the parameters. It is also shown that the model admits slowly oscillating behavior, which demonstrates that the model is physiologically consistent and actually applicable to diabetological research. (literal)

Prodotto di

• Modelli e Metodi Matematici in Fisiopatologia (ME.P06.002.001) (Modulo)
• Istituto di analisi dei sistemi ed informatica \"Antonio Ruberti\" (IASI) (Istituto)

Autore CNR

• PASQUALE PALUMBO (Unità di personale interno)
• ANDREA DE GAETANO (Unità di personale interno)

Insieme di parole chiave

• Parole chiave di "Delay models of glucose-insulin systems: global stability and oscillated solutions conditional on delays" (Insieme di parole chiave)

Incoming links:

Autore CNR di

• ANDREA DE GAETANO (Unità di personale interno)
• PASQUALE PALUMBO (Unità di personale interno)

Prodotto

• Istituto di analisi dei sistemi ed informatica \"Antonio Ruberti\" (IASI) (Istituto)
• Modelli e Metodi Matematici in Fisiopatologia (ME.P06.002.001) (Modulo)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• Journal of mathematical analysis and applications (Rivista)

Insieme di parole chiave di

• Parole chiave di "Delay models of glucose-insulin systems: global stability and oscillated solutions conditional on delays" (Insieme di parole chiave)