Title

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

Document 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.

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