FUZZY LOGISTIC DIFFERENCE EQUATION

In this study, we consider two different inequivalent formulations of the logistic difference equation x_{n+۱}= \beta x_n(۱- x_n),\ \ n=۰,۱,..., where x_n is a sequence of fuzzy numbers and \beta is a positive fuzzy number. The major contribution of this paper is to study the existence, uniqueness and global behavior of the solutions for two corresponding equations, using the concept of Hukuhara difference for fuzzy numbers. Finally, some examples are given to illustrate our results.

کلیدواژه ها:

Fuzzy difference equations ، Logistic difference equation ، Boundedness ، Persistence ، Equilibrium point