Complex Dynamics of a Discrete-Time Prey–Predator System with Leslie Type: Stability, Bifurcation Analyses and Chaos

DOI10.1142/S0218127420501497zbMath1453.39014OpenAlexW3082800164WikidataQ115523569 ScholiaQ115523569MaRDI QIDQ5120507

Hüseyin Merdan, Pinar Baydemir, Esra Karaoğlu, Gokce Sucu

Publication date: 15 September 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420501497

zbMATH Keywords

stabilitychaotic behaviorNeimark-Sacker bifurcationflip bifurcationdiscrete prey-predator system

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical chaos (65P20) Stability theory for difference equations (39A30) Applications of difference equations (39A60) Bifurcation theory for difference equations (39A28)

Related Items (4)

Dynamical analysis of a two-dimensional discrete predator-prey model ⋮ Bifurcations of a discrete-time SIR epidemic model with logistic growth of the susceptible individuals ⋮ Neimark-Sacker bifurcation and controlling chaos in a three-species food chain model through the OGY method ⋮ Stability and bifurcation analyses of a discrete Lotka-Volterra type predator-prey system with refuge effect

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