On multistability of equations with a distributed delay, monotone production and the Allee effect

Leonid Berezansky, Elena Braverman

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We consider the delay population dynamics model dN/dt=f(Nτ(t))-d(N(t)) with an increasing fecundity function f and any mortality function d where the Allee effect or multistability can be observed. The study includes non-autonomous equations with a distributed delay. Attractivity of certain positive solutions, persistence, extinction of solutions with initial values below a threshold, boundedness and oscillation are discussed.

Original languageEnglish
Pages (from-to)873-888
Number of pages16
JournalJournal of Mathematical Analysis and Applications
Volume415
Issue number2
DOIs
StatePublished - 15 Jul 2014

Keywords

  • Allee effect
  • Attractivity
  • Bounded solutions
  • Equations with a distributed delay
  • Monotone production function
  • Multistability
  • Oscillation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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