Double Bifurcation and Stability Analysis in a Predator-prey Ecosystem Incorporating Dinosaur Functional Responses and Spatial Diffusion.
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| Title: | Double Bifurcation and Stability Analysis in a Predator-prey Ecosystem Incorporating Dinosaur Functional Responses and Spatial Diffusion. |
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| Authors: | Wenbin Yang1 yangwenbin@xupt.edu.cn |
| Source: | IAENG International Journal of Applied Mathematics. Jul2025, Vol. 55 Issue 7, p2103-2111. 9p. |
| Subjects: | Implicit functions, Dinosaurs, Equilibrium, Ecosystems |
| Abstract: | This research focuses on a spatially diffusive predator-prey model incorporating the Dinosaur-type functional response, subject to homogeneous Dirichlet boundary constraints. The primary aim is to explore the emergence of nontrivial, small-amplitude positive solutions branching from the zero equilibrium and to assess their long-term stability. To substantiate the theoretical findings, computational experiments are performed. The theoretical framework is established using LyapunovCSchmidt decomposition, the application of the implicit function theorem, and linear approximation methods. [ABSTRACT FROM AUTHOR] |
| Copyright of IAENG International Journal of Applied Mathematics 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: 186335288 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Double Bifurcation and Stability Analysis in a Predator-prey Ecosystem Incorporating Dinosaur Functional Responses and Spatial Diffusion. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Wenbin+Yang%22">Wenbin Yang</searchLink><relatesTo>1</relatesTo><i> yangwenbin@xupt.edu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Jul2025, Vol. 55 Issue 7, p2103-2111. 9p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Implicit+functions%22">Implicit functions</searchLink><br /><searchLink fieldCode="DE" term="%22Dinosaurs%22">Dinosaurs</searchLink><br /><searchLink fieldCode="DE" term="%22Equilibrium%22">Equilibrium</searchLink><br /><searchLink fieldCode="DE" term="%22Ecosystems%22">Ecosystems</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This research focuses on a spatially diffusive predator-prey model incorporating the Dinosaur-type functional response, subject to homogeneous Dirichlet boundary constraints. The primary aim is to explore the emergence of nontrivial, small-amplitude positive solutions branching from the zero equilibrium and to assess their long-term stability. To substantiate the theoretical findings, computational experiments are performed. The theoretical framework is established using LyapunovCSchmidt decomposition, the application of the implicit function theorem, and linear approximation methods. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Applied Mathematics 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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=186335288 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 2103 Subjects: – SubjectFull: Implicit functions Type: general – SubjectFull: Dinosaurs Type: general – SubjectFull: Equilibrium Type: general – SubjectFull: Ecosystems Type: general Titles: – TitleFull: Double Bifurcation and Stability Analysis in a Predator-prey Ecosystem Incorporating Dinosaur Functional Responses and Spatial Diffusion. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Wenbin Yang IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 55 – Type: issue Value: 7 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
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