Impulsive perturbations in a periodic delay differential equation model of plankton allelopathy

Zhijun Liu, Jianhua Wu, Yiping Chen, Mainul Haque

Research output: Journal PublicationArticlepeer-review

31 Citations (Scopus)

Abstract

In this paper, we consider the dynamic behavior of an impulsive delay differential equation model with the effects of interspecific allelopathic interaction. A good understanding of the permanence, extinction and the existence of positive periodic solutions is gained. It turns out that the impulsive controls play a crucial role in shaping the above dynamics of the system. Numerical simulations are presented to substantiate the analytical results.

Original languageEnglish
Pages (from-to)432-445
Number of pages14
JournalNonlinear Analysis: Real World Applications
Volume11
Issue number1
DOIs
Publication statusPublished - Feb 2010
Externally publishedYes

Keywords

  • Delay
  • Extinction
  • Impulse
  • Permanence
  • Positive periodic solution

ASJC Scopus subject areas

  • General Engineering
  • Computational Mathematics
  • Analysis
  • Applied Mathematics
  • General Economics,Econometrics and Finance

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