Instability in diffusive ecological models with nonlocal delay effects

Khalid Boushaba, Shigui Ruan

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

We propose a reaction-diffusion system with nonlocal delays to model the growth of plankton communities feeding on a limiting nutrient supplied at a constant rate. Two delays are incorporated into the model: one describes the delayed nutrient recycling process and the other models the delayed growth response of the plankton. It is assumed that both delays are nonlocal in the sense that there are delayed not only in time but also in space. Local and bifurcation analyses are carried out. It has been shown that Turing-type spatial patterns occur when the diffusion coefficients vary and temporal or spatial-temporal patterns occur when the delay involved in the growth response changes.

Original languageEnglish (US)
Pages (from-to)269-286
Number of pages18
JournalJournal of Mathematical Analysis and Applications
Volume258
Issue number1
DOIs
StatePublished - Jun 1 2001
Externally publishedYes

Fingerprint

Nonlocal Delay
Ecological Model
Plankton
Nutrients
Recycling
Spatial Pattern
Turing
Rate Constant
Reaction-diffusion System
Diffusion Coefficient
Bifurcation
Limiting
Vary
Model

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Instability in diffusive ecological models with nonlocal delay effects. / Boushaba, Khalid; Ruan, Shigui.

In: Journal of Mathematical Analysis and Applications, Vol. 258, No. 1, 01.06.2001, p. 269-286.

Research output: Contribution to journalArticle

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