Global Behavior of a Higher-Order Difference Equation

الملخص EN

This paper is concerned with the global behavior of higher-order difference equation of the form yn+1=(ynexp(β(1-2∑i=0kaiyn-i)))/(1-yn+ynexp(β(1-2∑i=0kaiyn-i))), n=0,1,2…, y-k,y-k+1,…,y0∈(0,1).

Under some certain assumptions, it is proved that the positive equilibrium is globally asymptotical stable.