Adaptive delayed reproduction in a 2-dimensional discrete-time competition model
This paper studies a 2-dimensional discrete-time competition model of Ricker type with reproductive delay. The model is examined under the assumption that species 1 and 2 have the same properties except that a fraction η of species 1 individuals delays the initiation of reproduction. This assumption...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2023-12-01
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| Series: | Journal of Biological Dynamics |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/17513758.2023.2248171 |
| _version_ | 1797331543129063424 |
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| author | Ryusuke Kon |
| author_facet | Ryusuke Kon |
| author_sort | Ryusuke Kon |
| collection | DOAJ |
| description | This paper studies a 2-dimensional discrete-time competition model of Ricker type with reproductive delay. The model is examined under the assumption that species 1 and 2 have the same properties except that a fraction η of species 1 individuals delays the initiation of reproduction. This assumption ensures that species 1 is dominated by species 2 in the sense that species 2 is increasing whenever species 1 is increasing. It is shown that, even under this assumption, delayed reproduction can be adaptive, i.e. species 1 can invade the monoculture system of species 2 while species 2 cannot invade the monoculture system of species 1, if the population is fluctuating. The result is obtained by analytically examining the species invasibility at boundary 2-cycles, whose coordinates can be estimated by assuming [Formula: see text]. |
| first_indexed | 2024-03-08T07:36:01Z |
| format | Article |
| id | doaj.art-3bd28ff12a0043c9b03d54e3e117106c |
| institution | Directory Open Access Journal |
| issn | 1751-3758 1751-3766 |
| language | English |
| last_indexed | 2024-03-08T07:36:01Z |
| publishDate | 2023-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj.art-3bd28ff12a0043c9b03d54e3e117106c2024-02-02T18:51:34ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662023-12-0117110.1080/17513758.2023.2248171Adaptive delayed reproduction in a 2-dimensional discrete-time competition modelRyusuke Kon0Faculty of Engineering, University of Miyazaki, Miyazaki, JapanThis paper studies a 2-dimensional discrete-time competition model of Ricker type with reproductive delay. The model is examined under the assumption that species 1 and 2 have the same properties except that a fraction η of species 1 individuals delays the initiation of reproduction. This assumption ensures that species 1 is dominated by species 2 in the sense that species 2 is increasing whenever species 1 is increasing. It is shown that, even under this assumption, delayed reproduction can be adaptive, i.e. species 1 can invade the monoculture system of species 2 while species 2 cannot invade the monoculture system of species 1, if the population is fluctuating. The result is obtained by analytically examining the species invasibility at boundary 2-cycles, whose coordinates can be estimated by assuming [Formula: see text].https://www.tandfonline.com/doi/10.1080/17513758.2023.22481712-cycleRicker mapinvasibilitysemelparityiteroparity |
| spellingShingle | Ryusuke Kon Adaptive delayed reproduction in a 2-dimensional discrete-time competition model Journal of Biological Dynamics 2-cycle Ricker map invasibility semelparity iteroparity |
| title | Adaptive delayed reproduction in a 2-dimensional discrete-time competition model |
| title_full | Adaptive delayed reproduction in a 2-dimensional discrete-time competition model |
| title_fullStr | Adaptive delayed reproduction in a 2-dimensional discrete-time competition model |
| title_full_unstemmed | Adaptive delayed reproduction in a 2-dimensional discrete-time competition model |
| title_short | Adaptive delayed reproduction in a 2-dimensional discrete-time competition model |
| title_sort | adaptive delayed reproduction in a 2 dimensional discrete time competition model |
| topic | 2-cycle Ricker map invasibility semelparity iteroparity |
| url | https://www.tandfonline.com/doi/10.1080/17513758.2023.2248171 |
| work_keys_str_mv | AT ryusukekon adaptivedelayedreproductionina2dimensionaldiscretetimecompetitionmodel |