id: 06034810
dt: j
an: 2012d.00581
au: Bae, Saebyok; Kang, Byungmin
ti: Dynamical analysis in the mathematical modelling of human blood glucose.
so: Int. J. Math. Educ. Sci. Technol. 43, No. 3, 396-413 (2012).
py: 2012
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: M65 I75
ut: geometrical method; mathematical modelling; medicine; human blood glucose;
minimal model; non-minimal model
ci:
li: doi:10.1080/0020739X.2011.592610
ab: Summary: We want to apply the geometrical method to a dynamical system of
human blood glucose. Due to the educational importance of model
building, we show a relatively general modelling process using
observational facts. Next, two models of some concrete forms are
analysed in the phase plane by means of linear stability, phase
portrait and vector analysis. In the minimal model, there is no
periodic solution, and the time evolution proves to be an
area-contracting map, which favours every solution converging to a
unique fixed point. In a plausible extension of the minimal model, the
number of fixed points can be changed by varying the parameters of the
additional non-linear terms, i.e. a bifurcation occurs.
rv: