Existences and Numerical Simulation of Positive Solution for a Class of Unstirred Chemostat Model

JIANG Hongling; 

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Existences and Numerical Simulation of Positive Solution for a Class of Unstirred Chemostat Model

更新时间：2023-12-11

- Existences and Numerical Simulation of Positive Solution for a Class of Unstirred Chemostat Model
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 50, Issue 3, Pages: 11-16(2011)
- 作者机构：
  
  1.  陕西师范大学数学与信息科学学院,陕西,西安,710062
  2. 2 宝鸡文理学院数学系,陕西,宝鸡,721016
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2011，
  
  Published Online：25 May 2011，
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JIANG Hongling, . Existences and Numerical Simulation of Positive Solution for a Class of Unstirred Chemostat Model. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 50(3):11-16(2011)
DOI：

JIANG Hongling, . Existences and Numerical Simulation of Positive Solution for a Class of Unstirred Chemostat Model. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 50(3):11-16(2011) DOI：

摘要

讨论一类含有Beddington-DeAngelis反应功能函数的Chemostat非单链生态模型平衡态正解的存在性，利用特征值比较原理得到正解存在的必要条件。利用度理论、锥映射不动点指数、微分算子的谱半径理论得到正解存在的充分条件。应用MATLAB软件进行数值模拟，验证了正解的存在性。

Abstract

The coexistence of the steadystate solutions of an unstirred multiple food chain Chemostat model with Beddington-DeAngelis functional response is discussed The necessary condition is given by comparison theorem of eigenvalue By using degree theory

index of fixed point of map in cone

and spectral radius of differentiation operator theory

a sufficient condition is obtained for the existence of steady state positive solution The coexistence is verified by numerical simulation with MATLAB software.

关键词

Chemostat特征值比较原理不动点指数数值模拟

Keywords

Chemostatcomparison theorem of eigenvalueindex of fixed pointnumerical simulation

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