# The Simple Chemostat with Wall Growth

@article{Pilyugin1999TheSC, title={The Simple Chemostat with Wall Growth}, author={Sergei S. Pilyugin and Paul Waltman}, journal={SIAM J. Appl. Math.}, year={1999}, volume={59}, pages={1552-1572} }

A model of the simple chemostat which allows for growth on the wall (or other marked surface) is presented as three nonlinear ordinary differential equations. The organisms which are attached to the wall do not wash out of the chemostat. This destroys the basic reduction of the chemostat equations to a monotone system, a technique which has been useful in the analysis of many chemostat-like equations. The adherence to and shearing from the wall eliminates the boundary equilibria. For a…

## 54 Citations

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The newly developing theory ofnonautonomous dynamical systems provides the necessary concepts, in particular that of a nonautonomous pullback attractor, to analyze the dynamical behavior of nonaut autonomous chemostat models with or without wall growth, time-dependent delays, variable inputs and outputs.

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