A logistic two-sex model with mate-finding Allee effect
Document Type
Article
Publication Date
10-25-2019
Journal Title
Involve
Volume
12
Issue
8
Abstract
We analyze a logistic two-sex model with mate-finding Allee effects assuming distinct sex-related parameters. We compute the threshold of the Allee-effect strength that separates population extinction from persistence and prove that a bistability regimen appears whereby the total population either goes extinct or stabilizes at a positive level depending on the initial demographic conditions. We show that this effect is the only possible outcome as far as the population limiting behavior is concerned. In addition, we compute the optimal female-sex probability at birth that maximizes this threshold.
Recommended Citation
Anderson, Elizabeth; Maxin, Daniel; Ott, Jared; and Terrett, Gwyneth, "A logistic two-sex model with mate-finding Allee effect" (2019). Mathematics and Statistics Faculty Publications. 79.
https://scholar.valpo.edu/math_stat_fac_pubs/79