Phytoplankton Zooplankton system with bounded random parameter

Ying Zhang, Wei Xu, Liang Wang, Bruno Rossetto

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The aim of this work is to use the Chebyshev orthogonal polynomial approximation method to analyze the stochastic nonlinear dynamical systems with bounded random parameter. Consider a prey-predator model describing the time evolution of phytoplankton-zooplankton populations in an open environment. This stochastic phytoplankton zooplankton system (SPZ system for short) is transformed by the Chebyshev orthogonal polynomial approximation method into an equivalent deterministic system, whose responses can be readily obtained by conventional numerical methods. In this way we can explore plenty of stochastic dynamical phenomenons of the SPZ system by some deterministic nonlinear dynamical methods.

Original languageEnglish
Title of host publicationProceedings - 2011 8th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2011
PublisherIEEE Computer Society
Pages1606-1610
Number of pages5
ISBN (Print)9781612841816
DOIs
StatePublished - 2011
Event2011 8th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2011, Jointly with the 2011 7th International Conference on Natural Computation, ICNC'11 - Shanghai, China
Duration: 26 Jul 201128 Jul 2011

Publication series

NameProceedings - 2011 8th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2011
Volume3

Conference

Conference2011 8th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2011, Jointly with the 2011 7th International Conference on Natural Computation, ICNC'11
Country/TerritoryChina
CityShanghai
Period26/07/1128/07/11

Keywords

  • bounded random parameter
  • Chebyshev polynomial approximation
  • phytoplankton-zooplankton
  • stochastic system

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