Spreading Properties of Partially Degenerate Diffusive Systems in Shifting Environments.
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| Title: | Spreading Properties of Partially Degenerate Diffusive Systems in Shifting Environments. |
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| Authors: | Lin, Guo1 (AUTHOR) ling@lzu.edu.cn, Xie, Youxi1 (AUTHOR) |
| Source: | Studies in Applied Mathematics. May2026, Vol. 156 Issue 5, p1-26. 26p. |
| Subjects: | Traveling waves (Physics), Epidemiological models, Agrobiodiversity, Cauchy problem, Degenerate parabolic equations, Initial value problems |
| Abstract: | This paper investigates the spreading properties of partially degenerate reaction–diffusion systems in shifting environments. First, we study the propagation dynamics of a coupled system derived from a sugar beet agro‐ecosystem. To analyze its traveling wave solutions starting from the trivial steady state, the corresponding initial value problem is considered. By constructing appropriate upper and lower solutions and using the properties of the corresponding Cauchy problem, we establish the existence and nonexistence of two distinct types of traveling wave solutions. As an application of our recipe, we also present the spreading speeds of a partially degenerate delayed SIR model in a shifting environment. [ABSTRACT FROM AUTHOR] |
| Copyright of Studies in 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 |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 194135341 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Spreading Properties of Partially Degenerate Diffusive Systems in Shifting Environments. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Lin%2C+Guo%22">Lin, Guo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ling@lzu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Xie%2C+Youxi%22">Xie, Youxi</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Studies+in+Applied+Mathematics%22">Studies in Applied Mathematics</searchLink>. May2026, Vol. 156 Issue 5, p1-26. 26p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Traveling+waves+%28Physics%29%22">Traveling waves (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Epidemiological+models%22">Epidemiological models</searchLink><br /><searchLink fieldCode="DE" term="%22Agrobiodiversity%22">Agrobiodiversity</searchLink><br /><searchLink fieldCode="DE" term="%22Cauchy+problem%22">Cauchy problem</searchLink><br /><searchLink fieldCode="DE" term="%22Degenerate+parabolic+equations%22">Degenerate parabolic equations</searchLink><br /><searchLink fieldCode="DE" term="%22Initial+value+problems%22">Initial value problems</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper investigates the spreading properties of partially degenerate reaction–diffusion systems in shifting environments. First, we study the propagation dynamics of a coupled system derived from a sugar beet agro‐ecosystem. To analyze its traveling wave solutions starting from the trivial steady state, the corresponding initial value problem is considered. By constructing appropriate upper and lower solutions and using the properties of the corresponding Cauchy problem, we establish the existence and nonexistence of two distinct types of traveling wave solutions. As an application of our recipe, we also present the spreading speeds of a partially degenerate delayed SIR model in a shifting environment. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Studies in 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.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1111/sapm.70226 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 26 StartPage: 1 Subjects: – SubjectFull: Traveling waves (Physics) Type: general – SubjectFull: Epidemiological models Type: general – SubjectFull: Agrobiodiversity Type: general – SubjectFull: Cauchy problem Type: general – SubjectFull: Degenerate parabolic equations Type: general – SubjectFull: Initial value problems Type: general Titles: – TitleFull: Spreading Properties of Partially Degenerate Diffusive Systems in Shifting Environments. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Lin, Guo – PersonEntity: Name: NameFull: Xie, Youxi IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00222526 Numbering: – Type: volume Value: 156 – Type: issue Value: 5 Titles: – TitleFull: Studies in Applied Mathematics Type: main |
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