Global Dynamics of a Cooperative Discrete System in the Plane

DOI10.1142/S0218127418300227zbMath1392.39012OpenAlexW2884233860MaRDI QIDQ3176333

Esmir Pilav, Arzu Bilgin, Mustafa R. S. Kulenović, Ann Brett

Publication date: 20 July 2018

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

Full work available at URL: https://doi.org/10.1142/s0218127418300227

zbMATH Keywords

invariant manifoldstable manifoldAllee effectbasincooperative map

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory for difference equations (39A30) Applications of difference equations (39A60)

Related Items (1)

Global dynamics of modified discrete Lotka-Volterra model

Cites Work

• A complete discrimination system for polynomials
• Competitive-exclusion versus competitive-coexistence for systems in the plane
• Basins of attraction for two-species competitive model with quadratic terms and the singular Allee effect
• Dynamics of a two-dimensional competitive system of rational difference equations with quadratic terms
• Two species competitive model with the allee effect
• Global bifurcation for discrete competitive systems in the plane
• Global asymptotic stability for discrete single species population models
• INVARIANT MANIFOLDS FOR COMPETITIVE DISCRETE SYSTEMS IN THE PLANE
• Planar competitive and cooperative difference equations
• The general properties of dicrete-time competitive dynamical systems
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