Multiple attractors for a competitive system of rational difference equations in the plane

DOI10.1155/2011/295308zbMath1252.39020OpenAlexW2157876352WikidataQ58654115 ScholiaQ58654115MaRDI QIDQ657108

Esmir Pilav, Mustafa R. S. Kulenović, Senada Kalabušić

Publication date: 16 January 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/295308

zbMATH Keywords

asymptotic stabilityglobal stabilitymultiple attractorssystem of rational difference equationsbasins of attractionsnonhyperbolic equilibrium points

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Stability theory for difference equations (39A30)

Related Items (12)

Stability and Neimark–Sacker bifurcation of a ratio‐dependence predator–prey model ⋮ Dynamics of a modified Nicholson-Bailey host-parasitoid model ⋮ The roles of conic sections and elliptic curves in the global dynamics of a class of planar systems of rational difference equations ⋮ Bifurcation and global dynamics of a Leslie-Gower type competitive system of rational difference equations with quadratic terms ⋮ Global dynamical properties of rational higher-order system of difference equations ⋮ Global attractor of solutions of a rational system 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 ⋮ Qualitative behavior of two systems of higher‐order difference equations ⋮ Global dynamics of a competitive system of rational difference equations ⋮ Global dynamics of a \(3 \times 6\) system of difference equations ⋮ Dynamic characteristics of four systems of difference equations with higher order

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Competitive-exclusion versus competitive-coexistence for systems in the plane
• Periodic competitive differential equations and the discrete dynamics of competitive maps
• Global bifurcation for discrete competitive systems in the plane
• Asymptotic behavior of a competitive system of linear fractional difference equations
• Asymptotic behavior of a system of linear fractional difference equations
• INVARIANT MANIFOLDS FOR COMPETITIVE DISCRETE SYSTEMS IN THE PLANE
• 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
• Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking
• Invariant Curves for Mappings
• Periodic Solutions of Periodic Competitive and Cooperative Systems
• Planar competitive and cooperative difference equations
• Some Discrete Competition Models and the Competitive Exclusion Principle^†
• Multiple mixed-type attractors in a competition model

This page was built for publication: Multiple attractors for a competitive system of rational difference equations in the plane