Two species competitive model with the allee effect

DOI10.1186/1687-1847-2014-307zbMath1417.92124OpenAlexW2143315105WikidataQ59401285 ScholiaQ59401285MaRDI QIDQ1994656

Mustafa R. S. Kulenović, Ann Brett

Publication date: 1 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-307

zbMATH Keywords

competitionglobal asymptotic stabilityinvariant manifolddifference equationstable manifoldAllee effectbasin

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Additive difference equations (39A10) Dynamical aspects of attractors and their bifurcations (37G35) Stability theory for difference equations (39A30)

Related Items (10)

Global Dynamics of a Cooperative Discrete System in the Plane ⋮ Bifurcation and global dynamics of a Leslie-Gower type competitive system of rational difference equations with quadratic terms ⋮ Invariant curves for planar competitive and cooperative maps ⋮ Asymptotic dynamics of a modified discrete Leslie–Gower competition system ⋮ Global dynamics of modified discrete Lotka-Volterra model ⋮ Global dynamic scenarios for competitive maps in the plane ⋮ Dynamics of planar systems that model stage-structured populations ⋮ Basins of attraction of period-two solutions of monotone difference equations ⋮ Dynamics of a generalized Ricker–Beverton–Holt competition model subject to Allee effects ⋮ A sufficient condition for stability using slopes of isoclines in planar mappings

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