Feedback Control in a Periodic Delay Single-Species Difference System
A periodic delay single-species difference system with feedback control is established. With the help of analysis method and Lyapunov function, a good understanding of the permanence and global attractivity of the system is gained. Numerical simulations are presented to verify the validity of the pr...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/872738 |
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doaj-da6878e81e6f461bb854174047aa575a2020-11-24T23:05:09ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/872738872738Feedback Control in a Periodic Delay Single-Species Difference SystemYi Yang0Zhijun Liu1Key Laboratory of Biological Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaKey Laboratory of Biological Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaA periodic delay single-species difference system with feedback control is established. With the help of analysis method and Lyapunov function, a good understanding of the permanence and global attractivity of the system is gained. Numerical simulations are presented to verify the validity of the proposed criteria. Our results show that feedback control has no influence on the permanence while it has influence on the global attractivity of the system.http://dx.doi.org/10.1155/2011/872738 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yi Yang Zhijun Liu |
| spellingShingle |
Yi Yang Zhijun Liu Feedback Control in a Periodic Delay Single-Species Difference System Discrete Dynamics in Nature and Society |
| author_facet |
Yi Yang Zhijun Liu |
| author_sort |
Yi Yang |
| title |
Feedback Control in a Periodic Delay Single-Species Difference System |
| title_short |
Feedback Control in a Periodic Delay Single-Species Difference System |
| title_full |
Feedback Control in a Periodic Delay Single-Species Difference System |
| title_fullStr |
Feedback Control in a Periodic Delay Single-Species Difference System |
| title_full_unstemmed |
Feedback Control in a Periodic Delay Single-Species Difference System |
| title_sort |
feedback control in a periodic delay single-species difference system |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2011-01-01 |
| description |
A periodic delay single-species difference system with
feedback control is established. With the help of analysis method and Lyapunov
function, a good understanding of the permanence and global attractivity of the
system is gained. Numerical simulations are presented to verify the validity of the
proposed criteria. Our results show that feedback control has no influence on the
permanence while it has influence on the global attractivity of the system. |
| url |
http://dx.doi.org/10.1155/2011/872738 |
| work_keys_str_mv |
AT yiyang feedbackcontrolinaperiodicdelaysinglespeciesdifferencesystem AT zhijunliu feedbackcontrolinaperiodicdelaysinglespeciesdifferencesystem |
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1725627253190033408 |