An exact discretization of Michaelis–Menten type population equations

DOI10.1080/17513758.2010.515690zbMath1225.92048OpenAlexW2001503161MaRDI QIDQ3096827

Ronald E. Mickens

Publication date: 15 November 2011

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2010.515690

zbMATH Keywords

numerical integrationpopulation modelsMichaelis-Menten dynamics

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Numerical integration (65D30) Applications of difference equations (39A60)

Related Items (2)

Nonstandard finite difference schemes for Michaelis–Menten type reaction‐diffusion equations ⋮ From enzyme kinetics to epidemiological models with Michaelis-Menten contact rate: design of nonstandard finite difference schemes

Cites Work

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• Nonstandard finite-difference methods for predator-prey models with general functional response
• On the Lambert \(w\) function
• Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition
• Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations

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