Phytoplankton Zooplankton system with bounded random parameter

摘要：

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 phytoplanktonzooplankton 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.

关键词： phytoplankton-zooplankton Chebyshev polynomial approximation stochastic system bounded random parameter

作者: Ying Zhang Wei Xu Liang Wang Bruno Rossetto

作者单位: Department of applied Mathematics Northwestern Polytechnical University Xian, China PROTEE Laboratory, IUT South University of Toulon Var La garde, France

会议类型: 国际会议

会议名称: 2011 Eighth International Conference on Fuzzy System and Knowledge Discovery(第八届模糊系统与知识发现国际会议 FSKD 2011)

会议地点: 上海

会议语种:英文

页码: 1654-1658

在线出版日期: 2011-07-26（万方平台首次上网日期，不代表论文的发表时间）