Asymptotic Behavior of Discrete Time Fuzzy Single Species Model

Qianhong Zhang, Fubiao Lin and Xiaoying Zhong

Discrete Dynamics in Nature and Society, 2019, vol. 2019, 1-9

Abstract:

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.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:4170626

DOI: 10.1155/2019/4170626

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