Details
- Autor(en) / Beteiligte
- Titel
- Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size
- Ist Teil von
- Axioms, 2023-04, Vol.12 (4), p.390
- Ort / Verlag
- Basel: MDPI AG
- Erscheinungsjahr
- 2023
- Link zum Volltext
- Quelle
- EZB Electronic Journals Library
- Beschreibungen/Notizen
- Dynamical properties of numerically approximated discrete systems may become inconsistent with those of the corresponding continuous-time system. We present a qualitative analysis of the dynamical properties of two-species Lotka-Volterra and Ricker-type predator-prey systems under discrete and continuous settings. By creating an arbitrary time discretisation, we obtain stability conditions that preserve the characteristics of continuous-time models and their numerically approximated systems. Here, we show that even small changes to some of the model parameters may alter the system dynamics unless an appropriate time discretisation is chosen to return similar dynamical behaviour to what is observed in the corresponding continuous-time system. We also found similar dynamical properties of the Ricker-type predator-prey systems under certain conditions. Our results demonstrate the need for preliminary analysis to identify which dynamical properties of approximated discretised systems agree or disagree with the corresponding continuous-time systems.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 2075-1680eISSN: 2075-1680DOI: 10.3390/axioms12040390Titel-ID: cdi_doaj_primary_oai_doaj_org_article_63a1ecb8b9b245ab87df51f939a4b0c6
- Format
- –
- Schlagworte
- Approximation, Continuous time systems, Discrete systems, Discretization, ecological models, Eigenvalues, Equilibrium, Investigations, Jacobian matrix, Mathematical models, Ordinary differential equations, Predator-prey simulation, Predators, Qualitative analysis, Stability, stability conditions, step size, System dynamics, Systems stability, time discretisation