Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle
This paper reports applying Minimax principle and impulsive differential inequality to derive the existence of multiple stationary solutions and the global stability of a positive stationary solution for a delayed feedback Gilpin–Ayala competition model with impulsive disturbance. The conclusion obt...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/16/1943 |
| _version_ | 1797523017593520128 |
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| author | Ruofeng Rao |
| author_facet | Ruofeng Rao |
| author_sort | Ruofeng Rao |
| collection | DOAJ |
| description | This paper reports applying Minimax principle and impulsive differential inequality to derive the existence of multiple stationary solutions and the global stability of a positive stationary solution for a delayed feedback Gilpin–Ayala competition model with impulsive disturbance. The conclusion obtained in this paper reduces the conservatism of the algorithm compared with the known literature, for the impulsive disturbance is not limited to impulsive control. |
| first_indexed | 2024-03-10T08:37:27Z |
| format | Article |
| id | doaj.art-c73570afd64b402ebe4e7716effa0301 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T08:37:27Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-c73570afd64b402ebe4e7716effa03012023-11-22T08:34:14ZengMDPI AGMathematics2227-73902021-08-01916194310.3390/math9161943Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax PrincipleRuofeng Rao0Department of Mathematics, Chengdu Normal University, Chengdu 611130, ChinaThis paper reports applying Minimax principle and impulsive differential inequality to derive the existence of multiple stationary solutions and the global stability of a positive stationary solution for a delayed feedback Gilpin–Ayala competition model with impulsive disturbance. The conclusion obtained in this paper reduces the conservatism of the algorithm compared with the known literature, for the impulsive disturbance is not limited to impulsive control.https://www.mdpi.com/2227-7390/9/16/1943Minimax principlelinear approximation theoryecosystemsteady state solution |
| spellingShingle | Ruofeng Rao Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle Mathematics Minimax principle linear approximation theory ecosystem steady state solution |
| title | Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle |
| title_full | Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle |
| title_fullStr | Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle |
| title_full_unstemmed | Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle |
| title_short | Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle |
| title_sort | global stability of delayed ecosystem via impulsive differential inequality and minimax principle |
| topic | Minimax principle linear approximation theory ecosystem steady state solution |
| url | https://www.mdpi.com/2227-7390/9/16/1943 |
| work_keys_str_mv | AT ruofengrao globalstabilityofdelayedecosystemviaimpulsivedifferentialinequalityandminimaxprinciple |