The logistic equation revisited: The two-sex case

Carlos Castillo-Chavez, Wenzhang Huang

Research output: Contribution to journalArticle

30 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)299-316
Number of pages18
JournalMathematical Biosciences
Volume128
Issue number1-2
DOIs
StatePublished - Jan 1 1995
Externally publishedYes

ASJC Scopus subject areas

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

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