Asymptotic Behavior of Discrete Time Fuzzy Single Species Model

This work is concerned with the qualitative behavior of discrete time single species model with fuzzy environment where denotes the number of individuals of generation , is the intrinsic growth rate, and is interpreted as the carrying capacity of the surrounding environment. is a sequence of positive fuzzy number. and the initial value are positive fuzzy numbers. Applying difference of Hukuhara (H-difference), the existence, uniqueness of the positive solution, and global asymptotic behavior of all positive solution with the model are obtained. Moreover a numerical example is presented to show the effectiveness of theoretic results obtained.