Dynamics in a Competitive Nicholson’s Blowflies Model with Continuous Time Delays
In this study, we examine a competitive Nicholson blowflies model with time-varying coefficients and continuous time delays. In the case of coincidence degree theory, constructing appropriate Lyapunov functionals and using several inequalities, several conditions on the extinction, periodic solution...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/8/1495 |
| _version_ | 1797583216245211136 |
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| author | Zhiqiao Wu Ahmadjan Muhammadhaji |
| author_facet | Zhiqiao Wu Ahmadjan Muhammadhaji |
| author_sort | Zhiqiao Wu |
| collection | DOAJ |
| description | In this study, we examine a competitive Nicholson blowflies model with time-varying coefficients and continuous time delays. In the case of coincidence degree theory, constructing appropriate Lyapunov functionals and using several inequalities, several conditions on the extinction, periodic solution, permanence, and global attractiveness of the system are derived. Finally, three examples with numerical simulations are presented to validate the practicability and feasibility of the obtained theoretical results. |
| first_indexed | 2024-03-10T23:32:43Z |
| format | Article |
| id | doaj.art-808ba39336954ab98ca23a0a5aad1d8a |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T23:32:43Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-808ba39336954ab98ca23a0a5aad1d8a2023-11-19T03:10:34ZengMDPI AGSymmetry2073-89942023-07-01158149510.3390/sym15081495Dynamics in a Competitive Nicholson’s Blowflies Model with Continuous Time DelaysZhiqiao Wu0Ahmadjan Muhammadhaji1College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, ChinaIn this study, we examine a competitive Nicholson blowflies model with time-varying coefficients and continuous time delays. In the case of coincidence degree theory, constructing appropriate Lyapunov functionals and using several inequalities, several conditions on the extinction, periodic solution, permanence, and global attractiveness of the system are derived. Finally, three examples with numerical simulations are presented to validate the practicability and feasibility of the obtained theoretical results.https://www.mdpi.com/2073-8994/15/8/1495competitive Nicholson’s blowflies modelcontinuous delayperiodic solutionpermanenceglobal attractiveness |
| spellingShingle | Zhiqiao Wu Ahmadjan Muhammadhaji Dynamics in a Competitive Nicholson’s Blowflies Model with Continuous Time Delays Symmetry competitive Nicholson’s blowflies model continuous delay periodic solution permanence global attractiveness |
| title | Dynamics in a Competitive Nicholson’s Blowflies Model with Continuous Time Delays |
| title_full | Dynamics in a Competitive Nicholson’s Blowflies Model with Continuous Time Delays |
| title_fullStr | Dynamics in a Competitive Nicholson’s Blowflies Model with Continuous Time Delays |
| title_full_unstemmed | Dynamics in a Competitive Nicholson’s Blowflies Model with Continuous Time Delays |
| title_short | Dynamics in a Competitive Nicholson’s Blowflies Model with Continuous Time Delays |
| title_sort | dynamics in a competitive nicholson s blowflies model with continuous time delays |
| topic | competitive Nicholson’s blowflies model continuous delay periodic solution permanence global attractiveness |
| url | https://www.mdpi.com/2073-8994/15/8/1495 |
| work_keys_str_mv | AT zhiqiaowu dynamicsinacompetitivenicholsonsblowfliesmodelwithcontinuoustimedelays AT ahmadjanmuhammadhaji dynamicsinacompetitivenicholsonsblowfliesmodelwithcontinuoustimedelays |