A Lotka-Volterra type food chain model with stage structure and time delays

Rui Xu, M. A. J. Chaplain, F. A. Davidson

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

A three-species Lotka?Volterra type food chain model with stage structure and time delays is investigated. It is assumed in the model that the individuals in each species may belong to one of two classes: the immatures and the matures, the age to maturity is presented by a time delay, and that the immature predators (immature top predators) do not have the ability to feed on prey (predator). By using some comparison arguments, we first discuss the permanence of the model. By means of an iterative technique, a set of easily verifiable sufficient conditions are established for the global attractivity of the nonnegative equilibria of the model.
Original languageEnglish
Pages (from-to)90-105
Number of pages16
JournalJournal of Mathematical Analysis and Applications
Volume315
Issue number1
DOIs
Publication statusPublished - 2006

Keywords

  • Stage structure
  • Time delay
  • Global attractivity

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