Effect of Leakage Delay on Stability of Neutral-Type Genetic Regulatory Networks
The stability of neutral-type genetic regulatory networks with leakage delays is considered. Firstly, we describe the model of genetic regulatory network with neutral delays and leakage delays. Then some sufficient conditions are derived to ensure the asymptotic stability of the genetic regulatory n...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/826020 |
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| author | Li Li Yongqing Yang Chuanzhi Bai |
| author_facet | Li Li Yongqing Yang Chuanzhi Bai |
| author_sort | Li Li |
| collection | DOAJ |
| description | The stability of neutral-type genetic regulatory networks with leakage delays is considered. Firstly, we describe the model of genetic regulatory network with neutral delays and leakage delays. Then some sufficient conditions are derived to ensure the asymptotic stability of the genetic regulatory network by the Lyapunov functional method. Further, the effect of leakage delay on stability is discussed. Finally, a numerical example is given to show the effectiveness of the results. |
| format | Article |
| id | doaj-art-4e28e73c576e443b97b96533e8c15ba6 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4e28e73c576e443b97b96533e8c15ba62025-02-03T01:08:50ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/826020826020Effect of Leakage Delay on Stability of Neutral-Type Genetic Regulatory NetworksLi Li0Yongqing Yang1Chuanzhi Bai2School of Science, Jiangnan University, Wuxi 214122, ChinaSchool of Science, Jiangnan University, Wuxi 214122, ChinaDepartment of Mathematics, Huaiyin Normal University, Huaian 223300, ChinaThe stability of neutral-type genetic regulatory networks with leakage delays is considered. Firstly, we describe the model of genetic regulatory network with neutral delays and leakage delays. Then some sufficient conditions are derived to ensure the asymptotic stability of the genetic regulatory network by the Lyapunov functional method. Further, the effect of leakage delay on stability is discussed. Finally, a numerical example is given to show the effectiveness of the results.http://dx.doi.org/10.1155/2015/826020 |
| spellingShingle | Li Li Yongqing Yang Chuanzhi Bai Effect of Leakage Delay on Stability of Neutral-Type Genetic Regulatory Networks Abstract and Applied Analysis |
| title | Effect of Leakage Delay on Stability of Neutral-Type Genetic Regulatory Networks |
| title_full | Effect of Leakage Delay on Stability of Neutral-Type Genetic Regulatory Networks |
| title_fullStr | Effect of Leakage Delay on Stability of Neutral-Type Genetic Regulatory Networks |
| title_full_unstemmed | Effect of Leakage Delay on Stability of Neutral-Type Genetic Regulatory Networks |
| title_short | Effect of Leakage Delay on Stability of Neutral-Type Genetic Regulatory Networks |
| title_sort | effect of leakage delay on stability of neutral type genetic regulatory networks |
| url | http://dx.doi.org/10.1155/2015/826020 |
| work_keys_str_mv | AT lili effectofleakagedelayonstabilityofneutraltypegeneticregulatorynetworks AT yongqingyang effectofleakagedelayonstabilityofneutraltypegeneticregulatorynetworks AT chuanzhibai effectofleakagedelayonstabilityofneutraltypegeneticregulatorynetworks |