A discrete-delayed model with plasmid-bearing, plasmid-free competition in a chemostat

被引:0
作者
Hsu, SB [1 ]
Li, CC
机构
[1] Natl Tsing Hua Univ, Dept Math, Hsinchu 30043, Taiwan
[2] St Johns & St Marys Inst Technol, Holist Educ Ctr, Tamsui 25135, Taiwan
来源
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2005年 / 5卷 / 03期
关键词
delayed growth response; chemostat; plasmid-bearing; plasmid-free; perturbation; global attractivity;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A discrete-delayed model of plasmid-bearing, plasmid-free organisms competing for a single-limited nutrient in a chemostat is established. Rigorous mathematical analysis of the asymptotic behavior of this model is presented. An interesting method to analyze the local stability of interior equilibrium is developed. The argument is also applicable to a model of plasmid-bearing, plasmid-free organisms competing for two complementary nutrients in a chemostat.
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页码:699 / 718
页数:20
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