4.7 Article

A note on a delay Lotka-Volterra competitive system with random perturbations

Journal

APPLIED MATHEMATICS LETTERS
Volume 26, Issue 6, Pages 589-594

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2012.12.002

Keywords

Competitive model; Random perturbations; Stability in time average; Extinction

Funding

  1. NSFC of PR China [11171081, 11171056]
  2. Natural Scientific Research Innovation Foundation in Harbin Institute of Technology [HIT.NSRIF.2011094]

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This note is concerned with a stochastic competitive system with time delays. Under a simple assumption, almost sufficient and necessary conditions for stability in time average and extinction of each population are established. Some numerical simulations are introduced to illustrate the main results. (C) 2012 Elsevier Ltd. All rights reserved.

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