On impulsive beverton-holt difference equations and their applications

Leonid Berezansky, Elena Braverman

Research output: Contribution to journalArticlepeer-review

84 Scopus citations

Abstract

The asymptotic properties of the impulsive Beverton-Holt difference equation Xn+1 = αnxn/1 + B nxn Xpk+ = bkX pk - dk, n,k = 1,2,..., where p is a fixed positive integer, are considered. The results are applied to an impulsive logistic equation with non-constant coefficients ẋ(t) = x(t)(r(t) - a(t)x(t)), x(τk) = bkx(τk-) - d k, limτkk→∞ = ∞ In particular, sufficient extinction and non-extinction conditions are obtained for both equations.

Original languageEnglish
Pages (from-to)851-868
Number of pages18
JournalJournal of Difference Equations and Applications
Volume10
Issue number9
DOIs
StatePublished - 10 Aug 2004

Keywords

  • Asymptotic behavior
  • Beverton-Holt difference equation
  • Impulsive harvesting
  • Logistic equations

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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