An Analysis of a Semelparous Population Model with Density-Dependent Fecundity and Density-Dependent Survival Probabilities
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-17
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A discrete age-structured semelparous Leslie matrix model where density dependence is included both in the fecundity and in the survival probabilities is analysed.
Depending on strength of density dependence, we show in the precocious semelparous case that the nonstationary dynamics may indeed be rich, ranging from SYC (a dynamical state where the whole population is in one age class only) dynamics to cycles of low period where all age classes are populated.
Quasiperiodic and chaotic dynamics have also been identified.
Moreover, outside parameter regions where SYC dynamics dominates, we prove that the transfer from stability to instability goes through a supercritical Neimark−Sacker bifurcation, and it is further shown that when the population switches from possessing a precocious to a delayed semelparous life history both stability properties and the possibility of periodic dynamics become weaker.
American Psychological Association (APA)
Wikan, Arild. 2017. An Analysis of a Semelparous Population Model with Density-Dependent Fecundity and Density-Dependent Survival Probabilities. Journal of Applied Mathematics،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1170031
Modern Language Association (MLA)
Wikan, Arild. An Analysis of a Semelparous Population Model with Density-Dependent Fecundity and Density-Dependent Survival Probabilities. Journal of Applied Mathematics No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1170031
American Medical Association (AMA)
Wikan, Arild. An Analysis of a Semelparous Population Model with Density-Dependent Fecundity and Density-Dependent Survival Probabilities. Journal of Applied Mathematics. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1170031
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1170031