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Global behavior of a three-dimensional linear fractional system of difference equations
Authors:M.R.S. Kulenovi&#x  ,Z. Nurkanovi&#x  
Affiliation:aDepartment of Mathematics, University of Rhode Island, Kingston, RI 02881-0816, USA;bDepartment of Mathematics, University of Tuzla, 75000 Tuzla, Bosnia and Herzegovina
Abstract:
We investigate the global asymptotic behavior of solutions of the system of difference equations
where the parameters a, b, c, d, e, and f are in (0,∞) and the initial conditions x0, y0, and z0 are arbitrary non-negative numbers. We obtain some global attractivity results for the positive equilibrium of this system for different values of the parameters.
Keywords:Asymptotic behavior   Difference equations   Global attractivity   Monotone
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