Competitive exclusion in age-structured populations.
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| Názov: | Competitive exclusion in age-structured populations. |
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| Autori: | Huo X; Department of Mathematics, University of Miami, Coral Gables, FL, 33146, USA., Kang H; Center for Applied Mathematics, Tianjin University, Tianjin, 300072, China. haokang@tju.edu.cn., Liu S; School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China., Ruan S; Department of Mathematics, University of Miami, Coral Gables, FL, 33146, USA. |
| Zdroj: | Journal of mathematical biology [J Math Biol] 2025 Nov 11; Vol. 91 (6), pp. 79. Date of Electronic Publication: 2025 Nov 11. |
| Spôsob vydávania: | Journal Article |
| Jazyk: | English |
| Informácie o časopise: | Publisher: Springer Verlag Country of Publication: Germany NLM ID: 7502105 Publication Model: Electronic Cited Medium: Internet ISSN: 1432-1416 (Electronic) Linking ISSN: 03036812 NLM ISO Abbreviation: J Math Biol Subsets: MEDLINE |
| Imprint Name(s): | Publication: Berlin : Springer Verlag Original Publication: Wien, New York, Springer-Verlag. |
| Výrazy zo slovníka MeSH: | Population Dynamics* , Models, Biological* , Competitive Behavior*, Animals ; Mathematical Concepts ; Biological Evolution ; Ecosystem ; Age Factors |
| Abstrakt: | Competing Interests: Declarations. Conflict of interest: On behalf of all authors, the corresponding author states that there is no conflict of interest. Competitive exclusion principle, which states that two or more species limited by the same resource cannot coexist indefinitely, is a very common phenomenon in population dynamics. It is well-known that competitive exclusion principle occurs in deterministic competition models, diffusive competition models, and evolutionary competition models. In this paper, we consider an age-structured competition model among N species and obtain an interesting result: under suitable scaled birth and death rates, the species with the smallest maximum age always wins the competition to exclude the other species; that is, the competitive exclusion principle occurs in age-structured competition models. (© 2025. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.) |
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| Grant Information: | 12301259, 12371169 NSFC; 12201041, 12201416 NSFC; DMS-2052648 and DMS- 2424605 NSFC; DMS-2052648 and DMS- 2424605 NSFC; XSQD-202214001 Beijing Institute of Technology Research Fund Program for Young Scholars |
| Contributed Indexing: | Keywords: Age structure; Competition models; Maximum age; Principal eigenvalue |
| Entry Date(s): | Date Created: 20251111 Date Completed: 20251112 Latest Revision: 20251112 |
| Update Code: | 20251113 |
| DOI: | 10.1007/s00285-025-02311-z |
| PMID: | 41217491 |
| Databáza: | MEDLINE |
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Nájsť tento článok vo Web of Science | Abstrakt: | Competing Interests: Declarations. Conflict of interest: On behalf of all authors, the corresponding author states that there is no conflict of interest.<br />Competitive exclusion principle, which states that two or more species limited by the same resource cannot coexist indefinitely, is a very common phenomenon in population dynamics. It is well-known that competitive exclusion principle occurs in deterministic competition models, diffusive competition models, and evolutionary competition models. In this paper, we consider an age-structured competition model among N species and obtain an interesting result: under suitable scaled birth and death rates, the species with the smallest maximum age always wins the competition to exclude the other species; that is, the competitive exclusion principle occurs in age-structured competition models.<br /> (© 2025. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.) |
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| ISSN: | 1432-1416 |
| DOI: | 10.1007/s00285-025-02311-z |