Understanding the spatiotemporal dynamics and pattern analysis of population model with Holling type-IV functional response.
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| Title: | Understanding the spatiotemporal dynamics and pattern analysis of population model with Holling type-IV functional response. |
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| Authors: | Datta, J.1 (AUTHOR), Sethy, A. K.1 (AUTHOR), Upadhyay, Ranjit Kumar2 (AUTHOR) ranjit@iitism.ac.in |
| Source: | Pramana: Journal of Physics. Jun2026, Vol. 100 Issue 2, p1-26. 26p. |
| Subjects: | Pattern formation (Physical sciences), Reaction-diffusion equations, Spatiotemporal processes, Predation, Bifurcation theory |
| Abstract: | Understanding the dynamics between interacting populations, such as prey and predators, has been significantly enhanced through spatiotemporal pattern analysis. Reaction–diffusion systems are widely used to represent such interactions. The spatial extension of the prey–predator model produces a variety of patterns, including travelling waves, periodic travelling waves, spots, labyrinthine structures, mixed spot-stripe patterns, spatiotemporal chaos, and spiral chaos. In this work, we investigate a prey–predator system incorporating Holling type IV functional response and diffusion. The model is analyzed using phase portraits, bistability conditions, bifurcation theory, and Turing instability. Numerical simulations are performed to illustrate the formation of spot and other complex patterns, validating the analytical results. [ABSTRACT FROM AUTHOR] |
| Copyright of Pramana: Journal of Physics is the property of Springer Nature 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 193389914 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Understanding the spatiotemporal dynamics and pattern analysis of population model with Holling type-IV functional response. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Datta%2C+J%2E%22">Datta, J.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Sethy%2C+A%2E+K%2E%22">Sethy, A. K.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Upadhyay%2C+Ranjit+Kumar%22">Upadhyay, Ranjit Kumar</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> ranjit@iitism.ac.in</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Pramana%3A+Journal+of+Physics%22">Pramana: Journal of Physics</searchLink>. Jun2026, Vol. 100 Issue 2, p1-26. 26p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Pattern+formation+%28Physical+sciences%29%22">Pattern formation (Physical sciences)</searchLink><br /><searchLink fieldCode="DE" term="%22Reaction-diffusion+equations%22">Reaction-diffusion equations</searchLink><br /><searchLink fieldCode="DE" term="%22Spatiotemporal+processes%22">Spatiotemporal processes</searchLink><br /><searchLink fieldCode="DE" term="%22Predation%22">Predation</searchLink><br /><searchLink fieldCode="DE" term="%22Bifurcation+theory%22">Bifurcation theory</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Understanding the dynamics between interacting populations, such as prey and predators, has been significantly enhanced through spatiotemporal pattern analysis. Reaction–diffusion systems are widely used to represent such interactions. The spatial extension of the prey–predator model produces a variety of patterns, including travelling waves, periodic travelling waves, spots, labyrinthine structures, mixed spot-stripe patterns, spatiotemporal chaos, and spiral chaos. In this work, we investigate a prey–predator system incorporating Holling type IV functional response and diffusion. The model is analyzed using phase portraits, bistability conditions, bifurcation theory, and Turing instability. Numerical simulations are performed to illustrate the formation of spot and other complex patterns, validating the analytical results. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Pramana: Journal of Physics is the property of Springer Nature 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=193389914 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s12043-026-03122-7 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 26 StartPage: 1 Subjects: – SubjectFull: Pattern formation (Physical sciences) Type: general – SubjectFull: Reaction-diffusion equations Type: general – SubjectFull: Spatiotemporal processes Type: general – SubjectFull: Predation Type: general – SubjectFull: Bifurcation theory Type: general Titles: – TitleFull: Understanding the spatiotemporal dynamics and pattern analysis of population model with Holling type-IV functional response. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Datta, J. – PersonEntity: Name: NameFull: Sethy, A. K. – PersonEntity: Name: NameFull: Upadhyay, Ranjit Kumar IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 03044289 Numbering: – Type: volume Value: 100 – Type: issue Value: 2 Titles: – TitleFull: Pramana: Journal of Physics Type: main |
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