Asymmetric Two-Sex Models
Faculty Sponsor
Daniel Maxin
College
Arts and Sciences
Department/Program
VERUM
ORCID Identifier(s)
0000-0002-8575-9600, 0000-0003-2368-0013, 0000-0002-3346-5141
Presentation Type
Poster Presentation
Symposium Date
Summer 7-30-2018
Abstract
In a two-sex demographic model, the most challenging mathematical components are the couple-formation functions. These functions link the number of pairs with the number of available singles. They are usually not detailed enough to include important aspects of social behavior such as: motivation for pairing which may be gender specific, scarcity or abundance of the opposite gender or social/ economic factors.
In this research we analyze several two-sex models to better describe asymmetric demographic situations. In particular we focus on mate-finding Allee effect which models the difficulty of pairing at low population densities and investigate whether this effect is sensitive to changes in sex ratios and/or overall female/male densities. We also compute the Allee threshold which separates population extinction from persistence and test these results against real demographic data from both animal and human populations.
Recommended Citation
Terrett, Gwyneth; Ott, Jared; and Anderson, Elizabeth, "Asymmetric Two-Sex Models" (2018). Summer Interdisciplinary Research Symposium. 43.
https://scholar.valpo.edu/sires/43
