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Dynamical analysis of a delay model of phytoplankton-zooplankton interaction

机译:浮游植物-浮游动物相互作用延迟模型的动力学分析

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摘要

The interaction of toxic-phytoplankton-zooplankton systems and their dynamical behavior will be considered in this paper based upon nonlinear ordinary differential equation model system. We induced a discrete time delay to the both of the consume response function and distribution of toxic substance term to describe the delay in the conversion of nutrient consumed to species and the fact that the time required for the phytoplankton species to mature before they can produce toxic substances. We generalized the model in [1] and explicit results are derived for globally asymptotically stability of the boundary equilibrium. Using numerical simulation method, we determine there is a parameter range for the delay parameter t where more complicated dynamics occurs, and this appears to be a new result. Significant outcomes of our numerical findings and their interpretations from ecological point of view are provided in this paper.
机译:本文基于非线性常微分方程模型系统,研究了毒性浮游植物-浮游动物-浮游生物系统之间的相互作用及其动力学行为。我们对消耗响应函数和有毒物质术语的分布引入了离散的时间延迟,以描述所消耗的营养物质向物种转化的延迟,以及浮游植物物种产生毒性之前所需的时间。物质。我们在[1]中对该模型进行了概括,并得出了边界平衡的全局渐近稳定性的明确结果。使用数值模拟方法,我们确定存在更复杂的动力学的延迟参数t的参数范围,这似乎是一个新结果。本文提供了我们的数值发现的重要成果及其从生态学角度的解释。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2012年第2期|p.638-647|共10页
  • 作者

    Mehbuba Rehim; Mudassar Imran;

  • 作者单位

    College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, People's Republic of China;

    Department of Mathematics, Lahore University of Management Sciences, Pakistan;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    phytoplankton; zooplankton; equilibrium; delay; toxic;

    机译:浮游植物浮游动物平衡;延迟;有毒的;

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