Steady state solutions of a one-dimensional biofilm model

A single species biofilm model is presented, and the existence of steady state solutions of this model is proved. The model which does not include detachment suggests that a steady state solution is possible if the inactivation rate is zero. It is also shown that a steady state solution corresponding to the absence of active biomass is linearly unstable provided the bulk substrate satisfies an inequality involving the observed decay rate. (C) 2001 Elsevier Science Ltd. Ail rights reserved.