Period-Doubling and Neimark–Sacker Bifurcations of a Beddington Host-Parasitoid Model with a Host Refuge Effect

DOI10.1142/S0218127420502545zbMath1456.35202OpenAlexW3115284499MaRDI QIDQ5148916

Dž. Drino, Esmir Pilav, Senada Kalabušić

Publication date: 5 February 2021

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

Full work available at URL: https://doi.org/10.1142/s0218127420502545

zbMATH Keywords

Neimark-Sacker bifurcationperiod-doubling bifurcationrefuge effectRicker equationBeddington host-parasitoid model

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Computational methods for problems pertaining to biology (92-08)

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Dynamics of a plant-herbivore system with ricker plant growth and the strong Allee effects on plant population ⋮ The role of host refuge and strong Allee effects in a host–parasitoid system ⋮ Complex dynamics and bifurcation analysis for a Beverton–Holt population model with Allee effect ⋮ Bifurcation and stability of a Ricker host-parasitoid model with a host constant refuge and general escape function ⋮ Bifurcations, permanence and local behavior of the plant-herbivore model with logistic growth of plant biomass

Cites Work

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• Neimark-Sacker bifurcations in a host-parasitoid system with a host refuge
• Bifurcation analysis and control of a discrete harvested prey-predator system with Beddington-DeAngelis functional response
• Dynamic complexity of a host-parasitoid ecological model with the hassell growth function for the host
• Global stability of Beddington model
• Bifurcation and chaos in a host-parasitoid model with a lower bound for the host
• Dynamic complexity and bifurcation analysis of a host-parasitoid model with Allee effect and Holling type III functional response
• Global behavior of a host-parasitoid model under the constant refuge effect
• Discrete-time host–parasitoid models with Allee effects: Density dependence versus parasitism
• Stability of a certain class of a host–parasitoid models with a spatial refuge effect
• Stability and invariant manifolds of a generalized Beddington host-parasitoid model
• A discrete-time host–parasitoid model with an Allee effect
• Bifurcation analysis and chaos control in a host‐parasitoid model
• Global qualitative analysis of a discrete host‐parasitoid model with refuge and strong Allee effects
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Neimark–Sacker Bifurcation and Stability of a Certain Class of Host-Parasitoid Models with Host Refuge Effect
• Allee effects in a discrete-time host-parasitoid model
• Controlling Chaos and Neimark–Sacker Bifurcation in a Host–Parasitoid Model
• Simple mathematical models with very complicated dynamics
• Persistence in dynamical systems