A note on exact finite difference schemes for modified Lotka–Volterra differential equations

DOI10.1080/10236198.2018.1430792zbMath1416.65221OpenAlexW2794390069MaRDI QIDQ4576745

Ronald E. Mickens

Publication date: 10 July 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2018.1430792

zbMATH Keywords

exact solutionsLotka-Volterra equationspopulation modelsdynamic consistencyexact finite difference schemes

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Cites Work

• Dynamically consistent discrete Lotka-Volterra competition models derived from nonstandard finite-difference schemes
• Construction of a Finite-Difference Scheme that Exactly Conserves Energy for a Mixed Parity Oscillator
• Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations
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