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

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  • 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.
    Mathematics Subject Classification: Primary: 65L12, 92B99; Secondary: 92-08.


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