Chaos in a Discrete Delay Population Model
This paper is concerned with chaos in a discrete delay population model. The map of the model is proved to be chaotic in the sense of both Devaney and Li-Yorke under some conditions, by employing the snap-back repeller theory. Some computer simulations are provided to visualize the theoretical resul...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/482459 |
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| _version_ | 1832562270753783808 |
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| author | Zongcheng Li Qingli Zhao Di Liang |
| author_facet | Zongcheng Li Qingli Zhao Di Liang |
| author_sort | Zongcheng Li |
| collection | DOAJ |
| description | This paper is concerned with chaos in a discrete delay population model. The map of the model is proved to be chaotic in the sense of both Devaney and Li-Yorke under some conditions, by employing the snap-back repeller theory. Some computer simulations are provided to visualize the theoretical result. |
| format | Article |
| id | doaj-art-6c4fbb8bf5454ae0b481a70772d7f037 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-6c4fbb8bf5454ae0b481a70772d7f0372025-02-03T01:23:00ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/482459482459Chaos in a Discrete Delay Population ModelZongcheng Li0Qingli Zhao1Di Liang2Department of Mathematics, Shandong Jianzhu University, Shandong, Jinan 250101, ChinaDepartment of Mathematics, Shandong Jianzhu University, Shandong, Jinan 250101, ChinaDepartment of Mathematics, Shandong Jianzhu University, Shandong, Jinan 250101, ChinaThis paper is concerned with chaos in a discrete delay population model. The map of the model is proved to be chaotic in the sense of both Devaney and Li-Yorke under some conditions, by employing the snap-back repeller theory. Some computer simulations are provided to visualize the theoretical result.http://dx.doi.org/10.1155/2012/482459 |
| spellingShingle | Zongcheng Li Qingli Zhao Di Liang Chaos in a Discrete Delay Population Model Discrete Dynamics in Nature and Society |
| title | Chaos in a Discrete Delay Population Model |
| title_full | Chaos in a Discrete Delay Population Model |
| title_fullStr | Chaos in a Discrete Delay Population Model |
| title_full_unstemmed | Chaos in a Discrete Delay Population Model |
| title_short | Chaos in a Discrete Delay Population Model |
| title_sort | chaos in a discrete delay population model |
| url | http://dx.doi.org/10.1155/2012/482459 |
| work_keys_str_mv | AT zongchengli chaosinadiscretedelaypopulationmodel AT qinglizhao chaosinadiscretedelaypopulationmodel AT diliang chaosinadiscretedelaypopulationmodel |