Allee’s Effect Bifurcation in Generalized Logistic Maps

DOI10.1142/S0218127419500391zbMath1411.37040OpenAlexW2929444604WikidataQ128145550 ScholiaQ128145550MaRDI QIDQ4631672

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Publication date: 18 April 2019

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

Full work available at URL: https://doi.org/10.1142/s0218127419500391

zbMATH Keywords

Allee's effect bifurcationessential extinctiongeneralized logistic maps\textit{snap-back repeller} bifurcation

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Population dynamics (general) (92D25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (9)

Codimension-Two Bifurcations and Bifurcation Controls in a Discrete Biological System with Weak Allee Effect ⋮ Stability and Bifurcation in a Leslie–Gower Predator–Prey Model with Allee Effect ⋮ Limit cycles in a tritrophic food chain model with general functional responses ⋮ Coexistence in a four-species food web model with general functional responses ⋮ Bifurcation Analysis of the γ-Ricker Population Model Using the Lambert W Function ⋮ Generalized Lambert functions in \(\gamma\)-Ricker population models with a Holling type II per-capita birth function ⋮ Bifurcations in a Cancer and Immune Model with Allee Effect ⋮ Bifurcation structures in a 2D exponential diffeomorphism with Allee effect ⋮ Stochastic Hopf-Hopf bifurcation of two-species discrete coupling logistic system with symbiotic interaction

Cites Work

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• Big bang bifurcations in von Bertalanffy's dynamics with strong and weak Allee effects
• Strong and weak Allee effects and chaotic dynamics in Richards' growths
• Explosion birth and extinction: double big bang bifurcations and Allee effect in Tsoularis-Wallace's growth models
• Critical homoclinic orbits lead to snap-back repellers
• Bifurcation structures in a 2D exponential diffeomorphism with Allee effect
• Analysis of logistic growth models
• Big bang bifurcations and Allee effect in Blumberg's dynamics
• Allee effects, extinctions, and chaotic transients in simple population models
• Dynamical Analysis and Big Bang Bifurcations of 1D and 2D Gompertz's Growth Functions
• Big Bang Bifurcation Analysis and Allee Effect in Generic Growth Functions
• Stable Orbits and Bifurcation of Maps of the Interval
• Homoclinic bifurcations in n-dimensional endomorphisms, due to expanding periodic points
• Homoclinic and Big Bang Bifurcations of an Embedding of 1D Allee’s Functions into a 2D Diffeomorphism
• Chaos and population disappearances in simple ecological models

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