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.
Castillo-Chavez
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Biometrics Unit, Cornell University, Ithaca, New York 14853, USA.
Huang
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D000818:Animals; D003710:Demography; D005260:Female; D005298:Fertility; D006801:Humans; D008297:Male; D008962:Models, Theoretical; D009026:Mortality; D011157:Population Dynamics