Global asymptotic stability of a scalar delay Nicholson's blowflies equation in periodic environment
This paper is considered with a scalar delay Nicholson's blowflies equation in periodic environments. By taking advantage of some novel differential inequality techniques and the fluctuation lemma, we set up the sharp condition to characterize the global asymptotic stability of positive periodi...
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| Format: | Article |
| Language: | English |
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University of Szeged
2022-03-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=9736 |
| _version_ | 1797830444425674752 |
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| author | Xiaodan Ding |
| author_facet | Xiaodan Ding |
| author_sort | Xiaodan Ding |
| collection | DOAJ |
| description | This paper is considered with a scalar delay Nicholson's blowflies equation in periodic environments. By taking advantage of some novel differential inequality techniques and the fluctuation lemma, we set up the sharp condition to characterize the global asymptotic stability of positive periodic solutions on the addressed equation. The obtained results improve and supplement some existing ones in recent literature, and then give a more perfect answer to an open problem proposed by Berezansky et al. in [Appl. Math. Model. 34(2010) 1405–1417]. In particular, two numerical examples are provided to verify the reliability and feasibility of the theoretical findings. |
| first_indexed | 2024-04-09T13:37:22Z |
| format | Article |
| id | doaj.art-7f8b2cbfbc8d4110aa42cf2a6450a7fe |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:37:22Z |
| publishDate | 2022-03-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-7f8b2cbfbc8d4110aa42cf2a6450a7fe2023-05-09T07:53:11ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752022-03-0120221411010.14232/ejqtde.2022.1.149736Global asymptotic stability of a scalar delay Nicholson's blowflies equation in periodic environmentXiaodan Ding0School of Mathematics and Statistics, Changsha University of Science and Technology; Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering,Changsha, Hunan, P.R. ChinaThis paper is considered with a scalar delay Nicholson's blowflies equation in periodic environments. By taking advantage of some novel differential inequality techniques and the fluctuation lemma, we set up the sharp condition to characterize the global asymptotic stability of positive periodic solutions on the addressed equation. The obtained results improve and supplement some existing ones in recent literature, and then give a more perfect answer to an open problem proposed by Berezansky et al. in [Appl. Math. Model. 34(2010) 1405–1417]. In particular, two numerical examples are provided to verify the reliability and feasibility of the theoretical findings.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=9736positive periodic solutionglobal asymptotic stabilityscalar delay nicholson's blowflies equationsharp condition |
| spellingShingle | Xiaodan Ding Global asymptotic stability of a scalar delay Nicholson's blowflies equation in periodic environment Electronic Journal of Qualitative Theory of Differential Equations positive periodic solution global asymptotic stability scalar delay nicholson's blowflies equation sharp condition |
| title | Global asymptotic stability of a scalar delay Nicholson's blowflies equation in periodic environment |
| title_full | Global asymptotic stability of a scalar delay Nicholson's blowflies equation in periodic environment |
| title_fullStr | Global asymptotic stability of a scalar delay Nicholson's blowflies equation in periodic environment |
| title_full_unstemmed | Global asymptotic stability of a scalar delay Nicholson's blowflies equation in periodic environment |
| title_short | Global asymptotic stability of a scalar delay Nicholson's blowflies equation in periodic environment |
| title_sort | global asymptotic stability of a scalar delay nicholson s blowflies equation in periodic environment |
| topic | positive periodic solution global asymptotic stability scalar delay nicholson's blowflies equation sharp condition |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=9736 |
| work_keys_str_mv | AT xiaodanding globalasymptoticstabilityofascalardelaynicholsonsblowfliesequationinperiodicenvironment |