Details

Autor(en) / Beteiligte

• Elsadany, A. A.
• Matouk, A. E.

Titel

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

Ist Teil von

• Journal of applied mathematics & computing, 2015-10, Vol.49 (1-2), p.269-283

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2015

Link zum Volltext

Quelle

SpringerLink (Online service)

Beschreibungen/Notizen

• 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.