Complex dynamics of a nonlinear discrete predator-prey system with Allee effect

DOI10.1515/math-2024-0013zbMATH Open1547.35424MaRDI QIDQ6595203

Jing Wang, Ceyu Lei

Publication date: 29 August 2024

Published in: Open Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilitytranscritical bifurcationdiscrete systemNeimark-Sacker bifurcationAllee effect

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stability theory for difference equations (39A30)

Cites Work

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• A study of stability and bifurcation analysis in discrete-time predator–prey system involving the Allee effect
• Chaos control in a discrete-time predator–prey model with weak Allee effect
• Neimark‐Sacker bifurcation and hybrid control in a discrete‐time Lotka‐Volterra model
• Simple mathematical models with very complicated dynamics

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