On second-order fuzzy discrete population model

Abstract This work is concerned with dynamical behavior of a second-order fuzzy discrete population model: x n = A − 1 + B 2 , , … {x}_{n}=\frac{A{x}_{n-1}}{1+{x}_{n-1}+B{x}_{n-2}},\hspace{1em}n=1,2,\ldots , where xmlns:m="http://www.w3.org/1998/Math/MathML"> A,B are positive numbers. {x}_{n} number and represents the size at observation instant n . According to generalization division ( g g -division) number, we study behaviors including boundedness, global asymptotical stability, persistence solution. Finally, two examples given demonstrate effectiveness results obtained.