New Model for Prey–Predator Population Dynamics With Behaviorally Structured State Transition.
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| Title: | New Model for Prey–Predator Population Dynamics With Behaviorally Structured State Transition. |
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| Authors: | Tesfaw, Kumlachew Wubale1 (AUTHOR) kumewube@gmail.com, Goshu, Ayele Taye2 (AUTHOR), Lachamo, Tsegaye Simon2 (AUTHOR), Francomano, Elisa (AUTHOR) elisa.francomano@unipa.it |
| Source: | Journal of Applied Mathematics. 6/18/2026, Vol. 2026, p1-18. 18p. |
| Subjects: | Predation, Ecological resilience, Biomathematics, Animal behavior, Antipredator behavior, Wildlife management |
| Abstract: | This paper presents a prey–predator wildlife ecological model that explicitly categorizes predator populations into searching, hunting, and resting states within an SHRS‐type compartmental framework. It examines the influences of ecological factors such as prey availability and recovery on predator dynamics and establishes conditions for population persistence and extinction. The study identifies three equilibria and introduces a hunting predator reproduction number, R0Z, as a key threshold for predator survival. Parameters such as conversion efficiency, encounter rate, satiety rate, and handling time, together with numerical simulation analyses, confirm oscillatory dynamics influenced by predator mortality. The results highlight the critical balance of predator behaviors for the ecological stability of the wild animals in a park, indicating that high recovery rates with moderate attack levels favor coexistence. In contrast, excessive attack pressure can lead to instability and extinction. The model connects behavioral variations with ecological resilience, serving as a foundation for further research on complex ecological interactions. These findings suggest that managing predator populations and their behaviors is essential for maintaining biodiversity and ensuring the health of ecosystems. Future studies could explore additional factors such as environmental changes and human impact, which may further complicate these dynamics. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Applied Mathematics is the property of Wiley-Blackwell 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: 194672713 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: New Model for Prey–Predator Population Dynamics With Behaviorally Structured State Transition. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Tesfaw%2C+Kumlachew+Wubale%22">Tesfaw, Kumlachew Wubale</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> kumewube@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Goshu%2C+Ayele+Taye%22">Goshu, Ayele Taye</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lachamo%2C+Tsegaye+Simon%22">Lachamo, Tsegaye Simon</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Francomano%2C+Elisa%22">Francomano, Elisa</searchLink> (AUTHOR)<i> elisa.francomano@unipa.it</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Applied+Mathematics%22">Journal of Applied Mathematics</searchLink>. 6/18/2026, Vol. 2026, p1-18. 18p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Predation%22">Predation</searchLink><br /><searchLink fieldCode="DE" term="%22Ecological+resilience%22">Ecological resilience</searchLink><br /><searchLink fieldCode="DE" term="%22Biomathematics%22">Biomathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Animal+behavior%22">Animal behavior</searchLink><br /><searchLink fieldCode="DE" term="%22Antipredator+behavior%22">Antipredator behavior</searchLink><br /><searchLink fieldCode="DE" term="%22Wildlife+management%22">Wildlife management</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper presents a prey–predator wildlife ecological model that explicitly categorizes predator populations into searching, hunting, and resting states within an SHRS‐type compartmental framework. It examines the influences of ecological factors such as prey availability and recovery on predator dynamics and establishes conditions for population persistence and extinction. The study identifies three equilibria and introduces a hunting predator reproduction number, R0Z, as a key threshold for predator survival. Parameters such as conversion efficiency, encounter rate, satiety rate, and handling time, together with numerical simulation analyses, confirm oscillatory dynamics influenced by predator mortality. The results highlight the critical balance of predator behaviors for the ecological stability of the wild animals in a park, indicating that high recovery rates with moderate attack levels favor coexistence. In contrast, excessive attack pressure can lead to instability and extinction. The model connects behavioral variations with ecological resilience, serving as a foundation for further research on complex ecological interactions. These findings suggest that managing predator populations and their behaviors is essential for maintaining biodiversity and ensuring the health of ecosystems. Future studies could explore additional factors such as environmental changes and human impact, which may further complicate these dynamics. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Applied Mathematics is the property of Wiley-Blackwell 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=194672713 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1155/jama/5437628 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 18 StartPage: 1 Subjects: – SubjectFull: Predation Type: general – SubjectFull: Ecological resilience Type: general – SubjectFull: Biomathematics Type: general – SubjectFull: Animal behavior Type: general – SubjectFull: Antipredator behavior Type: general – SubjectFull: Wildlife management Type: general Titles: – TitleFull: New Model for Prey–Predator Population Dynamics With Behaviorally Structured State Transition. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Tesfaw, Kumlachew Wubale – PersonEntity: Name: NameFull: Goshu, Ayele Taye – PersonEntity: Name: NameFull: Lachamo, Tsegaye Simon – PersonEntity: Name: NameFull: Francomano, Elisa IsPartOfRelationships: – BibEntity: Dates: – D: 18 M: 06 Text: 6/18/2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 1110757X Numbering: – Type: volume Value: 2026 Titles: – TitleFull: Journal of Applied Mathematics Type: main |
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