FURTHER STUDIES OF A REACTION-DIFFUSION SYSTEM FOR AN UNSTIRRED CHEMOSTAT WITH INTERNAL STORAGE

被引：16

作者：

Hsu, Sze-Bi ^{[1
]}

Shi, Junping ^{[2
]}

Wang, Feng-Bin ^{[3
]}

机构：

[1] Natl Tsing Hua Univ, Dept Math, Hsinchu, Taiwan

[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

[3] Chang Gung Univ, Dept Nat Sci, Ctr Gen Educ, Taoyuan, Taiwan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2014年 / 19卷 / 10期

关键词：

Unstirred chemostat; reaction-diffusion system; internal storage; steady state; SINGLE-NUTRIENT; COMPETITIVE-EXCLUSION; DROOP MODEL; EQUATIONS; RESOURCE; GROWTH;

D O I：

10.3934/dcdsb.2014.19.3169

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dynamics of a reaction-diffusion system for two species of microorganism in an unstirred chemostat with internal storage is studied. It is shown that the diffusion coefficient is a key parameter of determining the asymptotic dynamics, and there exists a threshold diffusion coefficient above which both species become extinct. On the other hand, for diffusion coefficient below the threshold, either one species or both species persist, and in the asymptotic limit, a steady state showing competition exclusion or coexistence is reached.

引用

页码：3169 / 3189

页数：21

共 22 条

[1]

[Anonymous], 1995, MATH SURVEYS MONOGRA

[2] COMPETITIVE-EXCLUSION [J].