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Bifurcation analysis in a delay model of IVGTT glucose–insulin interaction

Theory in Biosciences volume 139, pages 9–20 (2020)Cite this article

Abstract

In this paper, a delayed differential model based on the intravenous glucose tolerance test is considered. The conditions to determine stability or instability of the model’s steady state are obtained. We obtain the necessary conditions for the appearance of a bifurcation, and we investigate the direction and stability of the local bifurcation. For this purpose, the normal form theory is used. In addition, the numerical diagrams in the direction of theoretical results are drawn.

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Authors and Affiliations

  1. Mahani Mathematical Research Center and Department of Pure Mathematics, Shahid Bahonar Kerman University, Kerman, Iran

    Fateme Mohabati & MohammadReza Molaei

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  1. Fateme Mohabati
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  2. MohammadReza Molaei
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Correspondence to MohammadReza Molaei.

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Mohabati, F., Molaei, M. Bifurcation analysis in a delay model of IVGTT glucose–insulin interaction. Theory Biosci. 139, 9–20 (2020). https://doi.org/10.1007/s12064-019-00298-y

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  • DOI: https://doi.org/10.1007/s12064-019-00298-y

Keywords

  • Center manifold
  • Hopf bifurcation
  • Stability
  • Time delay

Mathematics Subject Classification

  • 92B05
  • 34C25
  • 34C23