The logistic, two-sex, age-structured population model

Kai Yang, Fabio Milner

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

In this paper, we introduce the logistic effect into the two-sex population model introduced by Hoppensteadt. We address the problem of existence and uniqueness of continuous and classical solutions. We first give sufficient conditions for a unique continuous solution to exist locally and also globally. Next, the existence of classical solutions is established under some mild assumptions on the vital rates. Finally, we study the existence of equilibria and give an upper bound for the total population at steady state.

Original languageEnglish (US)
Pages (from-to)252-270
Number of pages19
JournalJournal of biological dynamics
Volume3
Issue number2-3
DOIs
StatePublished - Jan 1 2009
Externally publishedYes

Keywords

  • Logistic effect
  • Marriage function
  • PDEs
  • Two-sex population

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

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