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一个浮游生物的数学模型的全局稳定性

  • 李林 ,
  • 闫岩
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  • 首都医科大学生物医学工程学院

收稿日期: 1900-01-01

  修回日期: 1900-01-01

  网络出版日期: 2008-05-15

Global stability of a mathematical model of plankton

  • Li lin ,
  • Yan yan
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  • School of Biomedical Engineering, Capital Medical University

Received date: 1900-01-01

  Revised date: 1900-01-01

  Online published: 2008-05-15

摘要

考虑如下用来描述浮游动物-营养物相互作用时滞微分方程模型

其中 是营养物浓度, 是浮游动物种群的度量,并且参数 为正常数. 如果 成立, 则该系统的正平衡点是全局吸引的. 也给出了正平衡点局部稳定的充分条件.

(编辑:摘要中有公式,但未能正常显示)

本文引用格式

李林 , 闫岩 .

一个浮游生物的数学模型的全局稳定性

[J]. 中国科学院大学学报, 2008 , 25(3) : 305 -312 . DOI: 10.7523/j.issn.2095-6134.2008.3.003

Abstract

The differential delay model, which is introduced to simulate zooplankton-nutrient interaction, of the form is studied, where is the concentration of nutrient, is a measure of zooplankton population at time t and parameter are positive constants. If , and hold, then the positive steady state of this system is globally attractive. Some sufficient conditions on local stability of the steady state of the model are given.

(Editors: Formulas in the abstract can't be displayed normally. See the pdf file)

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