Dynamics in numerics: on a discrete predator-prey model

DOI10.1007/s12591-008-0010-6zbMath1213.37125OpenAlexW2065222414WikidataQ115601384 ScholiaQ115601384MaRDI QIDQ628560

Xiamei Jiang, Xingfu Zou, Yu Huang

Publication date: 11 March 2011

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-008-0010-6

zbMATH Keywords

stabilitychaosequilibriumperiodic orbittopological horseshoediscrete predator-prey model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) General theory of difference equations (39A05)

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Modelling interaction patterns in a predator-prey system of two freshwater organisms in discrete time: an identified structural VAR approach ⋮ Rapid fluctuation for topological dynamical systems

Cites Work

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• Dynamics in numerics: On two different finite difference schemes for ODEs
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Topological horseshoes