Dynamics of a two-dimensional competitive system of rational difference equations with quadratic terms

DOI10.1186/1687-1847-2014-301zbMath1417.39005OpenAlexW2159836597WikidataQ59401576 ScholiaQ59401576MaRDI QIDQ1994654

Mustafa R. S. Kulenović, Vahidin Hadžiabdić, Esmir Pilav

Publication date: 1 November 2018

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-301

zbMATH Keywords

monotonicitybasin of attractioncompetitive mapperiod-two solutionglobal stable manifold

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Additive difference equations (39A10) Invariant manifold theory for dynamical systems (37D10) Low-dimensional dynamical systems (37E99) Stability theory for difference equations (39A30)

Related Items (8)

Global dynamics of cubic second order difference equation in the first quadrant ⋮ 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 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Basins of attraction of period-two solutions of monotone difference equations ⋮ On the global asymptotic stability of a system of difference equations with quadratic terms

Cites Work

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• Rational systems in the planeEdited by Gerry LadasIn this section, we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas: gladas@math.uri.edu
• On the Global Behavior of Solutions to a Planar System of Difference Equations
• Periodic Solutions of Periodic Competitive and Cooperative Systems
• Nonlinear Aspects of Competition Between Three Species
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• Some Discrete Competition Models and the Competitive Exclusion Principle^†

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