Asymptotic Properties of a Stochastic Non-autonomous Competitive Nicholson's Blowflies Model with Variable Time Delays.
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| Title: | Asymptotic Properties of a Stochastic Non-autonomous Competitive Nicholson's Blowflies Model with Variable Time Delays. |
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| Authors: | Zhu, Ziyi1 1532119539@qq.com, Wu, Zhiqiao1 842472754@qq.com, Muhammadhaji, Ahmadjan2 ahmatjanam@aliyun.com |
| Source: | IAENG International Journal of Computer Science. Jun2026, Vol. 53 Issue 6, p2435-2445. 11p. |
| Subjects: | Stochastic differential equations, Time delay systems, Numerical analysis, Stochastic processes, Mathematical models, Asymptotic expansions |
| Abstract: | This study investigated the dynamic behaviors of a non-autonomous competitive stochastic Nicholson's blowflies model with time-varying delays. Using the theory of stochastic differential equations, Chebyshev's inequality, the exponential martingale inequality, the Borel-Cantelli lemma, and other relevant analytical tools, sufficient conditions were established for the existence and uniqueness of the global positive solution, ultimate boundedness in mean, stochastic ultimate boundedness, asymptotic behavior of the solutions, and the persistence and extinction of the model. In addition, several numerical simulations were conducted to verify the validity and feasibility of the theoretical results derived in this study. [ABSTRACT FROM AUTHOR] |
| Copyright of IAENG International Journal of Computer Science is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 194196025 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Asymptotic Properties of a Stochastic Non-autonomous Competitive Nicholson's Blowflies Model with Variable Time Delays. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zhu%2C+Ziyi%22">Zhu, Ziyi</searchLink><relatesTo>1</relatesTo><i> 1532119539@qq.com</i><br /><searchLink fieldCode="AR" term="%22Wu%2C+Zhiqiao%22">Wu, Zhiqiao</searchLink><relatesTo>1</relatesTo><i> 842472754@qq.com</i><br /><searchLink fieldCode="AR" term="%22Muhammadhaji%2C+Ahmadjan%22">Muhammadhaji, Ahmadjan</searchLink><relatesTo>2</relatesTo><i> ahmatjanam@aliyun.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Computer+Science%22">IAENG International Journal of Computer Science</searchLink>. Jun2026, Vol. 53 Issue 6, p2435-2445. 11p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Stochastic+differential+equations%22">Stochastic differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Time+delay+systems%22">Time delay systems</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+processes%22">Stochastic processes</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Asymptotic+expansions%22">Asymptotic expansions</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This study investigated the dynamic behaviors of a non-autonomous competitive stochastic Nicholson's blowflies model with time-varying delays. Using the theory of stochastic differential equations, Chebyshev's inequality, the exponential martingale inequality, the Borel-Cantelli lemma, and other relevant analytical tools, sufficient conditions were established for the existence and uniqueness of the global positive solution, ultimate boundedness in mean, stochastic ultimate boundedness, asymptotic behavior of the solutions, and the persistence and extinction of the model. In addition, several numerical simulations were conducted to verify the validity and feasibility of the theoretical results derived in this study. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Computer Science is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 11 StartPage: 2435 Subjects: – SubjectFull: Stochastic differential equations Type: general – SubjectFull: Time delay systems Type: general – SubjectFull: Numerical analysis Type: general – SubjectFull: Stochastic processes Type: general – SubjectFull: Mathematical models Type: general – SubjectFull: Asymptotic expansions Type: general Titles: – TitleFull: Asymptotic Properties of a Stochastic Non-autonomous Competitive Nicholson's Blowflies Model with Variable Time Delays. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zhu, Ziyi – PersonEntity: Name: NameFull: Wu, Zhiqiao – PersonEntity: Name: NameFull: Muhammadhaji, Ahmadjan IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 1819656X Numbering: – Type: volume Value: 53 – Type: issue Value: 6 Titles: – TitleFull: IAENG International Journal of Computer Science Type: main |
| ResultId | 1 |
