Publication: Delay model of glucose-insulin systems: Global stability and oscillated solutions conditional on delays
Issued Date
2008-07-15
Resource Type
ISSN
10960813
0022247X
0022247X
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2-s2.0-41949092193
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Mahidol University
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SCOPUS
Bibliographic Citation
Journal of Mathematical Analysis and Applications. Vol.343, No.2 (2008), 996-1006
Suggested Citation
Dang Vu Giang, Yongwimon Lenbury, Andrea De Gaetano, Pasquale Palumbo Delay model of glucose-insulin systems: Global stability and oscillated solutions conditional on delays. Journal of Mathematical Analysis and Applications. Vol.343, No.2 (2008), 996-1006. doi:10.1016/j.jmaa.2008.02.016 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/19417
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Title
Delay model of glucose-insulin systems: Global stability and oscillated solutions conditional on delays
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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. © 2008 Elsevier Inc. All rights reserved.