Big Bang Bifurcation Analysis and Allee Effect in Generic Growth Functions

DOI10.1142/S021812741650108XzbMath1343.92437MaRDI QIDQ3187954

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Publication date: 5 September 2016

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

zbMATH Keywords

population dynamicsAllee effectfold and flip bifurcationsbig bang bifurcationsgeneric growth functions

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (7)

Dynamics and bifurcations of a map of homographic Ricker type ⋮ Bifurcation Analysis of the γ-Ricker Population Model Using the Lambert W Function ⋮ Homoclinic and Big Bang Bifurcations of an Embedding of 1D Allee’s Functions into a 2D Diffeomorphism ⋮ Allee’s Effect Bifurcation in Generalized Logistic Maps ⋮ Bifurcation curves of a Dirichlet problem with geometrically concave nonlinearity and an application to the generalized logistic growth model ⋮ Dynamical Analysis and Big Bang Bifurcations of 1D and 2D Gompertz's Growth Functions ⋮ Bifurcation structures in a 2D exponential diffeomorphism with Allee effect

Cites Work

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• Dynamical analysis in growth models: Blumberg's equation
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• Synchronization in Richards’ Chaotic Systems
• Population models with Allee effect: a new model
• ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
• FROM THE BOX-WITHIN-A-BOX BIFURCATION ORGANIZATION TO THE JULIA SET PART I: REVISITED PROPERTIES OF THE SETS GENERATED BY A QUADRATIC COMPLEX MAP WITH A REAL PARAMETER
• THE BIFURCATION STRUCTURE OF A FAMILY OF DEGREE ONE CIRCLE ENDOMORPHISMS
• Codimension-2 Border Collision, Bifurcations in One-Dimensional, Discontinuous Piecewise Smooth Maps

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