Dynamically consistent discrete Lotka–Volterra competition systems
DOI10.1080/10236198.2011.621894zbMath1264.39006OpenAlexW2026918750MaRDI QIDQ4908679
Glenn Lahodny Jun, Lih-Ing W. Roeger
Publication date: 6 March 2013
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2011.621894
monotonicitystabilitypositivitynon-standard finite difference methoddynamically consistentLotka-Volterra competition system
Theoretical approximation of solutions to ordinary differential equations (34A45) Population dynamics (general) (92D25) Discrete version of topics in analysis (39A12) Finite difference and finite volume methods for ordinary differential equations (65L12) Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)
Related Items
Cites Work
- Unnamed Item
- Nonstandard finite difference method by nonlocal approximation
- Nonstandard finite difference schemes for differential equations withn+1 distinct fixed-points
- Planar competitive and cooperative difference equations
- Some Discrete Competition Models and the Competitive Exclusion Principle†
- Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations