A system of reaction-diffusion equations in the unstirred chemostat with an inhibitor

被引：25

作者：

Nie, Hua ^{[1
]}

Wu, Jianhua ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2006年 / 16卷 / 04期

基金：

中国国家自然科学基金;

关键词：

chemostat; steady-state solution; global bifurcation; stability;

D O I：

10.1142/S0218127406015246

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A system of reaction-diffusion equations is considered in the unstirred chemostat with an inhibitor. Global structure of the coexistence solutions and their local stability are established. The asymptotic behavior of the system is given as a function of the parameters, and it is determined when neither, one, or both competing populations survive. Finally, the results of some numerical simulations indicate that the global stability of the steady-state solutions is possible. The main tools for our investigations are the maximum principle, monotone method and global bifurcation theory.

引用

页码：989 / 1009

页数：21

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