Periodic Property and Asymptotic Behavior for a Discrete Ratio-Dependent Food-Chain System with Delays
In this paper, a discrete ratio-dependent food-chain system with delay is investigated. By using Gaines and Mawhin’s continuation theorem of coincidence degree theory and the method of Lyapunov function, a set of sufficient conditions for the existence of positive periodic solutions and global asymp...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/9464532 |
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| _version_ | 1832566545729978368 |
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| author | Changjin Xu Peiluan Li Maoxin Liao |
| author_facet | Changjin Xu Peiluan Li Maoxin Liao |
| author_sort | Changjin Xu |
| collection | DOAJ |
| description | In this paper, a discrete ratio-dependent food-chain system with delay is investigated. By using Gaines and Mawhin’s continuation theorem of coincidence degree theory and the method of Lyapunov function, a set of sufficient conditions for the existence of positive periodic solutions and global asymptotic stability of the model are established. |
| format | Article |
| id | doaj-art-72e8bcf890a94fd1b4a1943af9cf914d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-72e8bcf890a94fd1b4a1943af9cf914d2025-02-03T01:03:56ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/94645329464532Periodic Property and Asymptotic Behavior for a Discrete Ratio-Dependent Food-Chain System with DelaysChangjin Xu0Peiluan Li1Maoxin Liao2Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, ChinaSchool of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, ChinaSchool of Mathematics and Physics, University of South China, Hengyang 421001, ChinaIn this paper, a discrete ratio-dependent food-chain system with delay is investigated. By using Gaines and Mawhin’s continuation theorem of coincidence degree theory and the method of Lyapunov function, a set of sufficient conditions for the existence of positive periodic solutions and global asymptotic stability of the model are established.http://dx.doi.org/10.1155/2020/9464532 |
| spellingShingle | Changjin Xu Peiluan Li Maoxin Liao Periodic Property and Asymptotic Behavior for a Discrete Ratio-Dependent Food-Chain System with Delays Discrete Dynamics in Nature and Society |
| title | Periodic Property and Asymptotic Behavior for a Discrete Ratio-Dependent Food-Chain System with Delays |
| title_full | Periodic Property and Asymptotic Behavior for a Discrete Ratio-Dependent Food-Chain System with Delays |
| title_fullStr | Periodic Property and Asymptotic Behavior for a Discrete Ratio-Dependent Food-Chain System with Delays |
| title_full_unstemmed | Periodic Property and Asymptotic Behavior for a Discrete Ratio-Dependent Food-Chain System with Delays |
| title_short | Periodic Property and Asymptotic Behavior for a Discrete Ratio-Dependent Food-Chain System with Delays |
| title_sort | periodic property and asymptotic behavior for a discrete ratio dependent food chain system with delays |
| url | http://dx.doi.org/10.1155/2020/9464532 |
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