The logistic equation revisited: The two-sex case

Carlos Castillo-Chavez, Wenzhang Huang

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)299-316
Number of pages18
JournalMathematical Biosciences
Issue number1-2
StatePublished - 1995
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • General Biochemistry, Genetics and Molecular Biology
  • General Immunology and Microbiology
  • General Agricultural and Biological Sciences
  • Applied Mathematics


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