Algebraic Stability Criteria of Reaction Diffusion Genetic Regulatory Networks With Discrete and Distributed Delays
This paper addresses the stability problem of genetic regulatory networks by involving the spatial diffusion of concentration, discrete and infinite distributed delays. By using the theories of partial differential equation and Lyapunov stability, the global exponential stability criteria in algebra...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2021-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9330600/ |
| _version_ | 1828909857397276672 |
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| author | Yinping Xie Ling Xiao Leimin Wang Gaohua Wang |
| author_facet | Yinping Xie Ling Xiao Leimin Wang Gaohua Wang |
| author_sort | Yinping Xie |
| collection | DOAJ |
| description | This paper addresses the stability problem of genetic regulatory networks by involving the spatial diffusion of concentration, discrete and infinite distributed delays. By using the theories of partial differential equation and Lyapunov stability, the global exponential stability criteria in algebraic form are derived for reaction diffusion genetic regulatory networks (RDGRNs) with discrete and distributed delays. The derived stability conditions are simple and can be directly calculated by using the parameters of the networks. Moreover, the theoretical results are universal and can be applied to deal with the stability problem of RDGRNs with or without distributed delays. Eventually, the validity and feasibility of the results are illustrated by numerical simulations. |
| first_indexed | 2024-12-13T18:33:49Z |
| format | Article |
| id | doaj.art-8a7f832d6bf0425e9a12a22d09e5ca40 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-13T18:33:49Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-8a7f832d6bf0425e9a12a22d09e5ca402022-12-21T23:35:25ZengIEEEIEEE Access2169-35362021-01-019164101641810.1109/ACCESS.2021.30532719330600Algebraic Stability Criteria of Reaction Diffusion Genetic Regulatory Networks With Discrete and Distributed DelaysYinping Xie0https://orcid.org/0000-0002-1450-5822Ling Xiao1https://orcid.org/0000-0001-5635-1123Leimin Wang2https://orcid.org/0000-0002-0663-3365Gaohua Wang3https://orcid.org/0000-0002-8947-9921Department of Psychiatry, Renmin Hospital of Wuhan University, Wuhan, ChinaInstitute of Neuropsychiatry, Renmin Hospital, Wuhan University, Wuhan, ChinaSchool of Automation, China University of Geosciences, Wuhan, ChinaDepartment of Psychiatry, Renmin Hospital of Wuhan University, Wuhan, ChinaThis paper addresses the stability problem of genetic regulatory networks by involving the spatial diffusion of concentration, discrete and infinite distributed delays. By using the theories of partial differential equation and Lyapunov stability, the global exponential stability criteria in algebraic form are derived for reaction diffusion genetic regulatory networks (RDGRNs) with discrete and distributed delays. The derived stability conditions are simple and can be directly calculated by using the parameters of the networks. Moreover, the theoretical results are universal and can be applied to deal with the stability problem of RDGRNs with or without distributed delays. Eventually, the validity and feasibility of the results are illustrated by numerical simulations.https://ieeexplore.ieee.org/document/9330600/Global exponential stabilityreaction diffusiongenetic regulatory networksinfinite distributed delays |
| spellingShingle | Yinping Xie Ling Xiao Leimin Wang Gaohua Wang Algebraic Stability Criteria of Reaction Diffusion Genetic Regulatory Networks With Discrete and Distributed Delays IEEE Access Global exponential stability reaction diffusion genetic regulatory networks infinite distributed delays |
| title | Algebraic Stability Criteria of Reaction Diffusion Genetic Regulatory Networks With Discrete and Distributed Delays |
| title_full | Algebraic Stability Criteria of Reaction Diffusion Genetic Regulatory Networks With Discrete and Distributed Delays |
| title_fullStr | Algebraic Stability Criteria of Reaction Diffusion Genetic Regulatory Networks With Discrete and Distributed Delays |
| title_full_unstemmed | Algebraic Stability Criteria of Reaction Diffusion Genetic Regulatory Networks With Discrete and Distributed Delays |
| title_short | Algebraic Stability Criteria of Reaction Diffusion Genetic Regulatory Networks With Discrete and Distributed Delays |
| title_sort | algebraic stability criteria of reaction diffusion genetic regulatory networks with discrete and distributed delays |
| topic | Global exponential stability reaction diffusion genetic regulatory networks infinite distributed delays |
| url | https://ieeexplore.ieee.org/document/9330600/ |
| work_keys_str_mv | AT yinpingxie algebraicstabilitycriteriaofreactiondiffusiongeneticregulatorynetworkswithdiscreteanddistributeddelays AT lingxiao algebraicstabilitycriteriaofreactiondiffusiongeneticregulatorynetworkswithdiscreteanddistributeddelays AT leiminwang algebraicstabilitycriteriaofreactiondiffusiongeneticregulatorynetworkswithdiscreteanddistributeddelays AT gaohuawang algebraicstabilitycriteriaofreactiondiffusiongeneticregulatorynetworkswithdiscreteanddistributeddelays |