We consider a two-dimensional autonomous system of rational difference equations with three positive parameters. It was conjectured that every positive solution of this system converges to a finite limit. Here we confirm this conjecture, subject to an additional assumption.
M. B. Bekker et al., "Global Attractor of Solutions of a Rational System in the Plane," Discrete Dynamics in Nature and Society, vol. 2015, Hindawi Publishing Corporation, Jan 2015.
The definitive version is available at https://doi.org/10.1155/2015/195247
Mathematics and Statistics
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01 Jan 2015