# American Institute of Mathematical Sciences

2003, 2003(Special): 623-629. doi: 10.3934/proc.2003.2003.623

## Positivity preserving discrete model for the coupled ODE's modeling glycolysis

 1 Department of Physics, Clark Atlanta University, Atlanta, GA 30314, United States

Received  July 2002 Revised  March 2003 Published  April 2003

We construct a nonstandard finite difference scheme for the two coupled ODE's that model glycolysis. The primary emphasis is having the scheme satisfy a positivity condition and also retain the limit-cycle behavior for certain values of the parameters. We show that this is possible and give a full discussion of the scheme along with some of its numerical properties.
Citation: Ronald E. Mickens. Positivity preserving discrete model for the coupled ODE's modeling glycolysis. Conference Publications, 2003, 2003 (Special) : 623-629. doi: 10.3934/proc.2003.2003.623
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