Dynamical Analysis of a Tubular Biochemical Reactor Infinite-Dimensional Nonlinear Model

The existence and uniqueness of the state trajectories (limiting substrate and living biomass) are analyzed for a tubular biochemical reactor nonlinear model. It is reported that the trajectories exist on the whole (nonnegative real) time axis and the set of all physically feasible state values is invariant under the dynamics equations. This set takes into account the positivity of the state variables as well as a saturation condition on the substrate. Conditions which guarantee the existence of at least one nontrivial equilibrium profile are reported.