Asymptotic Behavior of a Competitive System of Linear Fractional Difference Equations

Abstract

We investigate the global asymptotic behavior of solutions of the system of difference equations xn+1 = (a+ xn)/(b+ yn), yn+1 = (d+ yn)/(e+ xn), n= 0,1, . . . , where the parameters a,b,d, and e are positive numbers and the initial conditions x0 and y0 are arbitrary nonnegative numbers. In certain range of parameters, we prove the existence of the global… (More)

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