A discrete prey–predator model preserving the dynamics of a structurally unstable Lotka–Volterra model

DOI10.1080/10236190701464996zbMath1128.92052OpenAlexW2073730970WikidataQ115550456 ScholiaQ115550456MaRDI QIDQ5438296

Hiromi Seno

Publication date: 23 January 2008

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

Full work available at URL: https://doi.org/10.1080/10236190701464996

zbMATH Keywords

population dynamicsdynamically consistentneutrally stable

Mathematics Subject Classification ID

Ecology (92D40) Discrete version of topics in analysis (39A12)

Related Items

Dynamics of discrete predator- prey system with fear effect and density dependent birth rate of the prey species, Multistability, chaos and mean population density in a discrete-time predator-prey system, Interspecific competition models derived from competition among individuals, Predator-prey interactions under fear effect and multiple foraging strategies

Cites Work

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• A note on Mickens' finite-difference scheme for the Lotka-Volterra system
• Nonstandard finite-difference schemes for the Lotka–Volterra systems: generalization of Mickens's method
• Some Discrete Competition Models and the Competitive Exclusion Principle^†
• A nonstandard discretization method for Lotka–Volterra models that preserves periodic solutions
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
• ON THE USE OF MATRICES IN CERTAIN POPULATION MATHEMATICS