Dynamics of a two-dimensional system of rational difference equations of Leslie-Gower type
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Publication:355152
DOI10.1186/1687-1847-2011-29zbMath1384.37031OpenAlexW2155969518WikidataQ59270159 ScholiaQ59270159MaRDI QIDQ355152
Esmir Pilav, Mustafa R. S. Kulenović, Senada Kalabušić
Publication date: 24 July 2013
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2011-29
Stability theory for smooth dynamical systems (37C75) Stability theory for difference equations (39A30) Chaotic behavior of solutions of difference equations (39A33)
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Cites Work
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- Competitive-exclusion versus competitive-coexistence for systems in the plane
- The discrete dynamics of monotonically decomposable maps
- Global dynamics of a competitive system of rational difference equations 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
- 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
- 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
- Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
- Nonlinear Aspects of Competition Between Three Species
- Planar competitive and cooperative difference equations
- Some Discrete Competition Models and the Competitive Exclusion Principle†
