# American Institute of Mathematical Sciences

2009, 2009(Special): 719-728. doi: 10.3934/proc.2009.2009.719

## Random coefficient differential equation models for Monod kinetics

 1 Department of Mathematics, Unviersity of Wyoming, Laramie, WY 82071, United States 2 Department of Mathematics, University of Wyoming, Laramie, WY 82071, United States

Received  June 2008 Revised  February 2009 Published  September 2009

In modeling of populations and in many other applications parameters are either measured directly or determined by fitting parameters to a mathematical model. These parameters have variability depending on experimental error, the actual population used and many other factors. In this paper we consider that those parameters are random variables with given distributions. We write and solve random differential equations that model Monod growth kinetics. This type of kinetics is useful, for example, in modeling biofilm growth.
Citation: Dan Stanescu, Benito Chen-Charpentier. Random coefficient differential equation models for Monod kinetics. Conference Publications, 2009, 2009 (Special) : 719-728. doi: 10.3934/proc.2009.2009.719
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