Abstract
In this paper we show that a wide class of compartmental systems with bounded capacities called generalized ribosome flow models are stable with an entropy-like logarithmic Lyapunov function known from the theory of nonnegative systems and reaction networks. The stability proof uses the kinetic representation of the compartmental model and earlier approaches applied for the input-to-state stability analysis of reaction networks with time-varying reaction rates. The results are valid not only for mass action type systems but also for models with more general reaction rates. Illustrative examples are given to show the qualitative dynamical properties of simple generalized ribosome flow models.
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