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Steady state in a biological system: Global asymptotic stability. (English) Zbl 0964.92502
Summary: A suitable Lyapunov function is constructed for proving that the unique critical point of a nonlinear system of ordinary differential equations, considered in a well determined polyhedron $K$, is globally asymptotically stable in $K$. The analytic problem arises from an investigation concerning a steady state in a particular macromolecular system: the visual system represented by the pigment rhodopsin in the presence of light.
MSC:
92C30Physiology (general)
34D20Stability of ODE
34D05Asymptotic stability of ODE
34D23Global stability of ODE
92C05Biophysics