State Trajectories and Stability of Equilibria of a Distributed Parameter Biochemical Reactor

摘要

The dynamical analysis of a biochemical reactor distributed parameter nonlinear model is performed. The existence of nonnegative state trajectories and invariance of the set of all physically feasible state values under the dynamical equation, as well as the convergence of state trajectories to equilibrium profiles, are reported. In addition, it is reported that under physically meaningful conditions the system has two stable and one unstable equilibrium profiles