The logistic equation revisited: the two-sex case
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1Biometrics Unit, Cornell University, Ithaca, New York 14853, USA.
Mathematical Biosciences
|July 1, 1995
Abstract:
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.