A generalized two-sex logistic model

Abstract

We provide a generalization of the logistic two-sex model with ephemeral pair-bonds and with stable couples without assuming any specific mathematical form for fertility, mortality and the mating function. In particular, we establish a necessary and sufficient condition on the fertility/mortality density-dependent ratio that ensures the existence of the logistic behaviour. Several differences and similarities between the two models are also provided.

Keywords:

• logistic model
• two-sex
• generalization

AMS Subject Classification:

• 92D30

The authors wish to thank the two reviewers for their detailed reports that helped improve the exposition of the paper.