Explosion birth and extinction: double big bang bifurcations and Allee effect in Tsoularis-Wallace's growth models

DOI10.3934/dcdsb.2015.20.3131zbMath1328.92060OpenAlexW2386261390MaRDI QIDQ500159

Yong-Cai Geng, Sumit K. Garg

Publication date: 1 October 2015

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.3131

zbMATH Keywords

population dynamicsAllee effectfold and flip bifurcationsbib bang bifurcationsTsoularis-Wallace's growth models

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Bifurcations of singular points in dynamical systems (37G10) Dynamical systems involving maps of the interval (37E05)

Related Items

Big bang bifurcations in von Bertalanffy's dynamics with strong and weak Allee effects ⋮ Big Bang Bifurcation Analysis and Allee Effect in Generic Growth Functions ⋮ 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 ⋮ Dynamical Analysis and Big Bang Bifurcations of 1D and 2D Gompertz's Growth Functions ⋮ Bifurcation structures in a 2D exponential diffeomorphism with Allee effect

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