Abstract
We present a complete local dynamics and investigate the global dynamics of the following second-order difference equation:xn+1=Axn2+Exn-1+F/axn2+exn-1+f, n=0,1,2,…, where the parametersA,E,F,a,e, andfare nonnegative numbers with conditionA+E+F>0,a+e+f>0, and the initial conditionsx-1,x0are arbitrary nonnegative numbers such thataxn2+exn-1+f>0, n=0,1,2,….
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