The logistic equation revisited: The two-sex case

The goal of this article is to formulate and analyze the simplest logistic pair-formation model and to contrast its dynamics to that of the corresponding Malthusian pair-formation model, that is, a generalization of the Kendall-Keyfitz model. The Malthusian pair-formation model supports a unique nontrivial stable exponential solution, and it is shown that the logistic pair-formation model supports a unique stable nontrivial bounded solution.