The behavior of logistic equation with alley effect in fuzzy environment: fuzzy differential equation approach
In this paper a fuzzy logistic equation with alley effect is introduced by considering some parameter as fuzzy numbers. Due to presence of the fuzzy number the corresponding differential equation in logistic equation model with alley effect becomes fuzzy differential equation. Considering generalize...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Springer Verlag
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/74115/1/The%20behavior%20of%20logistic%20equation%20with%20alley%20effect%20in%20fuzzy%20environment%20fuzzy%20differential%20equation%20approach.pdf |
| _version_ | 1796979683103866880 |
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| author | Salahshour, Soheil Ahmadian Hosseini, Syed Ali Mahata, Animesh Mondal, Sankar Prasad Alam, Shariful |
| author_facet | Salahshour, Soheil Ahmadian Hosseini, Syed Ali Mahata, Animesh Mondal, Sankar Prasad Alam, Shariful |
| author_sort | Salahshour, Soheil |
| collection | UPM |
| description | In this paper a fuzzy logistic equation with alley effect is introduced by considering some parameter as fuzzy numbers. Due to presence of the fuzzy number the corresponding differential equation in logistic equation model with alley effect becomes fuzzy differential equation. Considering generalized Hukuhara derivative approach the fuzzy logistic equation converted to system of two crisp differential equations. We obtain the conditions of stability criterion for different cases. Different numerical examples are given to support our work. |
| first_indexed | 2024-03-06T10:12:30Z |
| format | Article |
| id | upm.eprints-74115 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:12:30Z |
| publishDate | 2018 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | upm.eprints-741152020-04-26T18:39:52Z http://psasir.upm.edu.my/id/eprint/74115/ The behavior of logistic equation with alley effect in fuzzy environment: fuzzy differential equation approach Salahshour, Soheil Ahmadian Hosseini, Syed Ali Mahata, Animesh Mondal, Sankar Prasad Alam, Shariful In this paper a fuzzy logistic equation with alley effect is introduced by considering some parameter as fuzzy numbers. Due to presence of the fuzzy number the corresponding differential equation in logistic equation model with alley effect becomes fuzzy differential equation. Considering generalized Hukuhara derivative approach the fuzzy logistic equation converted to system of two crisp differential equations. We obtain the conditions of stability criterion for different cases. Different numerical examples are given to support our work. Springer Verlag 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/74115/1/The%20behavior%20of%20logistic%20equation%20with%20alley%20effect%20in%20fuzzy%20environment%20fuzzy%20differential%20equation%20approach.pdf Salahshour, Soheil and Ahmadian Hosseini, Syed Ali and Mahata, Animesh and Mondal, Sankar Prasad and Alam, Shariful (2018) The behavior of logistic equation with alley effect in fuzzy environment: fuzzy differential equation approach. International Journal of Applied and Computational Mathematics, 4 (62). 62 - 70. ISSN 2349-5103 10.1007/s40819-018-0496-8 |
| spellingShingle | Salahshour, Soheil Ahmadian Hosseini, Syed Ali Mahata, Animesh Mondal, Sankar Prasad Alam, Shariful The behavior of logistic equation with alley effect in fuzzy environment: fuzzy differential equation approach |
| title | The behavior of logistic equation with alley effect in fuzzy environment: fuzzy differential equation approach |
| title_full | The behavior of logistic equation with alley effect in fuzzy environment: fuzzy differential equation approach |
| title_fullStr | The behavior of logistic equation with alley effect in fuzzy environment: fuzzy differential equation approach |
| title_full_unstemmed | The behavior of logistic equation with alley effect in fuzzy environment: fuzzy differential equation approach |
| title_short | The behavior of logistic equation with alley effect in fuzzy environment: fuzzy differential equation approach |
| title_sort | behavior of logistic equation with alley effect in fuzzy environment fuzzy differential equation approach |
| url | http://psasir.upm.edu.my/id/eprint/74115/1/The%20behavior%20of%20logistic%20equation%20with%20alley%20effect%20in%20fuzzy%20environment%20fuzzy%20differential%20equation%20approach.pdf |
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