Linear character-dependent models with constant time delay in population dynamics

C. Castillo-Chavez

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

We reduce the extended MacKendrick-Von Foerster formalism of Gurney and Nisbet-an initial boundary value problem-to the solution of a single Volterra integral equation with a constant time lag. We then establish the existence, uniqueness and continuation of solutions for all t > 0, and reduce a simplified version of this model to a time-delay version of the classical MacKendrick model, for which the standard stability results for persistent distributions are available.

Original languageEnglish (US)
Pages (from-to)821-836
Number of pages16
JournalMathematical Modelling
Volume9
Issue number11
DOIs
StatePublished - 1987
Externally publishedYes

ASJC Scopus subject areas

  • Engineering(all)

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