On Dynamical Behavior of Discrete Time Fuzzy Logistic Equation

Abstract EN

The aim of this paper is to investigate the dynamical behavior of the following model which describes the logistic difference equation taking into account the subjectivity in the state variables and in the parameters.

xn+1=Axn(1~-xn), n=0,1,2,⋯, where {xn} is a sequence of positive fuzzy numbers.

A,1~ and the initial value x0 are positive fuzzy numbers.

The existence and uniqueness of the positive solution and global asymptotic behavior of all positive solution of the fuzzy logistic difference equation are obtained.

Moreover, some numerical examples are presented to show the effectiveness of results obtained.