Stability and Bifurcation in a Leslie–Gower Predator–Prey Model with Allee Effect

DOI10.1142/S0218127422500407zbMath1493.34144OpenAlexW4221010122WikidataQ114072986 ScholiaQ114072986MaRDI QIDQ5064640

Fengde Chen, Zhong Li, Yuming Chen, Zhenliang Zhu

Publication date: 16 March 2022

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

Full work available at URL: https://doi.org/10.1142/s0218127422500407

zbMATH Keywords

saddle-node bifurcationHopf bifurcationBogdanov-Takens bifurcationAllee effectLeslie-Gower model

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45)

Related Items (7)

Stability of a fear effect predator–prey model with mutual interference or group defense ⋮ A Delayed Eco-Epidemiological Model with Weak Allee Effect and Disease in Prey ⋮ Complex dynamics of a predator–prey model with opportunistic predator and weak Allee effect in prey ⋮ The impact of Allee effect on a Leslie-Gower predator-prey model with hunting cooperation ⋮ Dynamical analysis of a Lotka Volterra commensalism model with additive Allee effect ⋮ Periodic solution of a discrete commensal symbiosis model with Hassell-Varley type functional response ⋮ Existence of positive periodic solutions of several types of biological models with periodic coefficients

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