A study of stability and bifurcation analysis in discrete-time predator–prey system involving the Allee effect

DOI10.1142/S1793524519500116zbMath1405.39008OpenAlexW2903942731WikidataQ115522716 ScholiaQ115522716MaRDI QIDQ4616899

Seval Işik

Publication date: 4 February 2019

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524519500116

zbMATH Keywords

stabilityfixed pointNeimark-Sacker bifurcationpredator-prey systemAllee effect

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Dynamical aspects of attractors and their bifurcations (37G35) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28) Chaotic behavior of solutions of difference equations (39A33)

Related Items

Bifurcation and chaos of a nonlinear discrete-time predator-prey model involving the nonlinear Allee effect, Analyzing bifurcation, stability, and chaos control for a discrete-time prey-predator model with Allee effect, Complex Dynamics of a Discrete-Time Prey–Predator System with Leslie Type: Stability, Bifurcation Analyses and Chaos, Stability and bifurcation of a discrete predator-prey system with Allee effect and other food resource for the predators, Qualitative properties and bifurcations of discrete-time Bazykin–Berezovskaya predator–prey model, Stability, bifurcation, and chaos control of a novel discrete-time model involving Allee effect and cannibalism

Uses Software

• Matlab

Cites Work

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