Global asymptotical stability of almost periodic solutions for a non-autonomous competing model with time-varying delays and feedback controls
In this paper, we are concerned with a non-autonomous competing model with time delays and feedback controls. Applying the comparison theorem of differential equations and by constructing a suitable Lyapunov functional, some sufficient conditions which guarantee the existence of a unique globally as...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2019-01-01
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| Series: | Journal of Biological Dynamics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/17513758.2019.1610514 |
| _version_ | 1828884614517620736 |
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| author | Changjin Xu Peiluan Li Ying Guo |
| author_facet | Changjin Xu Peiluan Li Ying Guo |
| author_sort | Changjin Xu |
| collection | DOAJ |
| description | In this paper, we are concerned with a non-autonomous competing model with time delays and feedback controls. Applying the comparison theorem of differential equations and by constructing a suitable Lyapunov functional, some sufficient conditions which guarantee the existence of a unique globally asymptotically stable nonnegative almost periodic solution of the system are established. An example with its numerical simulations is given to illustrate the feasibility of our results. |
| first_indexed | 2024-12-13T11:11:17Z |
| format | Article |
| id | doaj.art-5b1ced42cf2b4a74aac4edd17c55b041 |
| institution | Directory Open Access Journal |
| issn | 1751-3758 1751-3766 |
| language | English |
| last_indexed | 2024-12-13T11:11:17Z |
| publishDate | 2019-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj.art-5b1ced42cf2b4a74aac4edd17c55b0412022-12-21T23:48:45ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662019-01-0113140742110.1080/17513758.2019.16105141610514Global asymptotical stability of almost periodic solutions for a non-autonomous competing model with time-varying delays and feedback controlsChangjin Xu0Peiluan Li1Ying Guo2Guizhou University of Finance and EconomicsHenan University of Science and TechnologyCentral South UniversityIn this paper, we are concerned with a non-autonomous competing model with time delays and feedback controls. Applying the comparison theorem of differential equations and by constructing a suitable Lyapunov functional, some sufficient conditions which guarantee the existence of a unique globally asymptotically stable nonnegative almost periodic solution of the system are established. An example with its numerical simulations is given to illustrate the feasibility of our results.http://dx.doi.org/10.1080/17513758.2019.1610514competing modelalmost periodic solutionstabilityfeedback controldelay |
| spellingShingle | Changjin Xu Peiluan Li Ying Guo Global asymptotical stability of almost periodic solutions for a non-autonomous competing model with time-varying delays and feedback controls Journal of Biological Dynamics competing model almost periodic solution stability feedback control delay |
| title | Global asymptotical stability of almost periodic solutions for a non-autonomous competing model with time-varying delays and feedback controls |
| title_full | Global asymptotical stability of almost periodic solutions for a non-autonomous competing model with time-varying delays and feedback controls |
| title_fullStr | Global asymptotical stability of almost periodic solutions for a non-autonomous competing model with time-varying delays and feedback controls |
| title_full_unstemmed | Global asymptotical stability of almost periodic solutions for a non-autonomous competing model with time-varying delays and feedback controls |
| title_short | Global asymptotical stability of almost periodic solutions for a non-autonomous competing model with time-varying delays and feedback controls |
| title_sort | global asymptotical stability of almost periodic solutions for a non autonomous competing model with time varying delays and feedback controls |
| topic | competing model almost periodic solution stability feedback control delay |
| url | http://dx.doi.org/10.1080/17513758.2019.1610514 |
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