On Dynamical Behavior of Discrete Time Fuzzy Logistic Equation
The aim of this paper is to investigate the dynamical behavior of the following model which describes the logistic difference equation taking into account the subjectivity in the state variables and in the parameters. xn+1=Axn(1~-xn), n=0,1,2,⋯, where {xn} is a sequence of positive fuzzy numbers. A...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/8742397 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566844098084864 |
|---|---|
| author | Qianhong Zhang Fubiao Lin |
| author_facet | Qianhong Zhang Fubiao Lin |
| author_sort | Qianhong Zhang |
| collection | DOAJ |
| description | The aim of this paper is to investigate the dynamical behavior of the following model which describes the logistic difference equation taking into account the subjectivity in the state variables and in the parameters. xn+1=Axn(1~-xn), n=0,1,2,⋯, where {xn} is a sequence of positive fuzzy numbers. A,1~ and the initial value x0 are positive fuzzy numbers. The existence and uniqueness of the positive solution and global asymptotic behavior of all positive solution of the fuzzy logistic difference equation are obtained. Moreover, some numerical examples are presented to show the effectiveness of results obtained. |
| format | Article |
| id | doaj-art-9e5cdbf399f34a1ba513e27af217c7a7 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-9e5cdbf399f34a1ba513e27af217c7a72025-02-03T01:03:07ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/87423978742397On Dynamical Behavior of Discrete Time Fuzzy Logistic EquationQianhong Zhang0Fubiao Lin1School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou 550025, ChinaSchool of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou 550025, ChinaThe aim of this paper is to investigate the dynamical behavior of the following model which describes the logistic difference equation taking into account the subjectivity in the state variables and in the parameters. xn+1=Axn(1~-xn), n=0,1,2,⋯, where {xn} is a sequence of positive fuzzy numbers. A,1~ and the initial value x0 are positive fuzzy numbers. The existence and uniqueness of the positive solution and global asymptotic behavior of all positive solution of the fuzzy logistic difference equation are obtained. Moreover, some numerical examples are presented to show the effectiveness of results obtained.http://dx.doi.org/10.1155/2018/8742397 |
| spellingShingle | Qianhong Zhang Fubiao Lin On Dynamical Behavior of Discrete Time Fuzzy Logistic Equation Discrete Dynamics in Nature and Society |
| title | On Dynamical Behavior of Discrete Time Fuzzy Logistic Equation |
| title_full | On Dynamical Behavior of Discrete Time Fuzzy Logistic Equation |
| title_fullStr | On Dynamical Behavior of Discrete Time Fuzzy Logistic Equation |
| title_full_unstemmed | On Dynamical Behavior of Discrete Time Fuzzy Logistic Equation |
| title_short | On Dynamical Behavior of Discrete Time Fuzzy Logistic Equation |
| title_sort | on dynamical behavior of discrete time fuzzy logistic equation |
| url | http://dx.doi.org/10.1155/2018/8742397 |
| work_keys_str_mv | AT qianhongzhang ondynamicalbehaviorofdiscretetimefuzzylogisticequation AT fubiaolin ondynamicalbehaviorofdiscretetimefuzzylogisticequation |