WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
On a Fuzzy Logistic Difference Equation
Authors: , , ,
Abstract: This paper is concerned with the existence, uniqueness and asymptotic behavior of the positive solutions of a fuzzy Logistic difference equation
$$x_{n+1} = A + Bx_{n−1}e ^{−xn} , n = 0, 1, · · · $$, where $$x_{n} $$ is a sequence of positive fuzzy number, A, B are positive fuzzy numbers and the initial conditions $$x-1, x_{0} $$ are positive fuzzy numbers. Moreover an illustrative example is given to demonstrate the effectiveness of the results obtained.