Stability Analysis of a Glucose Insulin Dynamic System Using Matrix Lambert W Function
R. Nagarajan
Department of Mathematics, Devangar Arts College, Aruppukotai, Virudhunagar, India.
K. Krishnan
Research Department of Mathematics, Cardamom Planters’ Association College, Bodinayakanur, Theni, India.
C. Monica *
Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chepauk, Chennai, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper we investigate the stability of the glucose-insulin dynamical system. We find an explicit expression for the eigenvalues of the dynamical system with single delay. Using matrix function definitions, we use the Lambert W matrix function from which we form the expression.
Keywords: Delay, Stability, Glucose-Insulin dynamics, Lambert W function