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一类浮游生物捕食-食饵模型的分歧解

葛玉涵 李艳玲

纺织高校基础科学学报Issue(1):77-82,6.
纺织高校基础科学学报Issue(1):77-82,6.

一类浮游生物捕食-食饵模型的分歧解

Bifurcation solutions of a predator-prey model on plankton

葛玉涵 1李艳玲1

作者信息

  • 1. 陕西师范大学数学与信息科学学院,陕西西安710062
  • 折叠

摘要

Abstract

T he existence of positive solutions of the steady-state system for the predator-prey model be-tween plankton in a marine ecosystem with Holling type II functional response is studied .Firstly ,by the linearized stability theory ,the stability of positive constant steady-state solution is discussed .Secondly , by means of the bifurcation theory ,non-constant steady-state solutions bifurcating from the positive con-stant steady-state solution are given by treating the diffusion coefficient as the bifurcation parameter , w hich implies the existence of non-constant steady-state solutions .

关键词

捕食-食饵模型/稳定性/非常数平衡解

Key words

predator-prey model/stability/non-constant steady-state solutions

分类

数理科学

引用本文复制引用

葛玉涵,李艳玲..一类浮游生物捕食-食饵模型的分歧解[J].纺织高校基础科学学报,2014,(1):77-82,6.

基金项目

中央高校基本科研业务费专项资助项目 ()

纺织高校基础科学学报

OACSTPCD

1006-8341

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