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 xn+1=xnexpA-Bxn, n=0,1,2,…, where xn denotes the number of individuals of generation n, A is the intrinsic growth rate, and B is interpreted as the carrying capacity of the surrounding...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/4170626 |
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| Summary: | This work is concerned with the qualitative behavior of discrete time single species model with fuzzy environment xn+1=xnexpA-Bxn, n=0,1,2,…, where xn denotes the number of individuals of generation n, A is the intrinsic growth rate, and B is interpreted as the carrying capacity of the surrounding environment. xn is a sequence of positive fuzzy number. A,B and the initial value x0 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. |
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| ISSN: | 1026-0226 1607-887X |