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dc.contributor.authorDang Vu Giangen_US
dc.contributor.authorYongwimon Lenburyen_US
dc.contributor.authorAndrea De Gaetanoen_US
dc.contributor.authorPasquale Palumboen_US
dc.contributor.otherHanoi Institute of Mathematicsen_US
dc.contributor.otherMahidol Universityen_US
dc.contributor.otherUniversita Cattolica del Sacro Cuore, Romeen_US
dc.identifier.citationJournal of Mathematical Analysis and Applications. Vol.343, No.2 (2008), 996-1006en_US
dc.description.abstractRecently 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. © 2008 Elsevier Inc. All rights reserved.en_US
dc.rightsMahidol Universityen_US
dc.titleDelay model of glucose-insulin systems: Global stability and oscillated solutions conditional on delaysen_US
Appears in Collections:Scopus 2006-2010

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