Dynamics of certain anti-competitive systems of rational difference equations in the plane
From MaRDI portal
Publication:3103816
DOI10.1080/10236191003730506zbMath1243.39012OpenAlexW1995465398MaRDI QIDQ3103816
Mustafa R. S. Kulenović, Senada Kalabušić
Publication date: 12 December 2011
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236191003730506
monotonicitysystempositive equilibriumcompetitive maprational difference equationsperiod-two solutionglobal stable manifold
Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)
Related Items
The roles of conic sections and elliptic curves in the global dynamics of a class of planar systems of rational difference equations, Basins of attraction of certain rational anti-competitive system of difference equations in the plane, Global dynamics of three anticompetitive systems of difference equations in the plane, On bifurcations of delay single species discrete time population models, Chaos in rational systems in the plane containing quadratic terms, Global behavior of a discrete anticompetitive system in the plane, Unnamed Item, Global dynamics of an anti-competitive system of rational difference equations in the plane
Cites Work
- 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
- Competition systems with periodic coefficients: A geometric approach
- Global asymptotic behavior of a two-dimensional difference equation modelling competition
- Global bifurcation for discrete competitive systems in the plane
- Asymptotic behavior of a system of linear fractional difference equations
- 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
- Invariant Curves for Mappings
- Periodic Solutions of Periodic Competitive and Cooperative Systems
- Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
- Planar competitive and cooperative difference equations
- Some Discrete Competition Models and the Competitive Exclusion Principle†
- On the Dynamics of with a Period-two Coefficient
