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Adaptive delayed reproduction in a 2-dimensional discrete-time competition model.
- Source :
- Journal of Biological Dynamics; Dec2023, Vol. 17 Issue 1, p1-13, 13p
- Publication Year :
- 2023
-
Abstract
- 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 $ \eta \approx 0 $ η ≈ 0. [ABSTRACT FROM AUTHOR]
- Subjects :
- REPRODUCTION
SPECIES
Subjects
Details
- Language :
- English
- ISSN :
- 17513758
- Volume :
- 17
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Biological Dynamics
- Publication Type :
- Academic Journal
- Accession number :
- 175233738
- Full Text :
- https://doi.org/10.1080/17513758.2023.2248171