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Journal of Applied Mathematics and Computing

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01.10.2015 | Original Research

Dynamical behaviors of fractional-order Lotka–Volterra predator–prey model and its discretization

verfasst von: A. A. Elsadany, A. E. Matouk

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2015

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Abstract

In this work, we study the dynamical behaviors of fractional-order Lotka–Volterra predator–prey system and its discretized counterpart. It is shown that the discretized system exhibits much richer dynamical behaviors than its corresponding fractional-order form; in the discretized system, many types of bifurcations (transcritical, flip, Neimark–Sacker) and chaos are obtained however the dynamics of fractional-order counterpart is included only stable (unstable) equilibria. Numerical simulations are used to verify the correctness of the analytical results.

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Titel: Dynamical behaviors of fractional-order Lotka–Volterra predator–prey model and its discretization
verfasst von: A. A. Elsadany
A. E. Matouk
Publikationsdatum: 01.10.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2015
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-014-0838-6

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