Competition between plasmid-bearing and plasmid-free organisms in a chemostat

摘要：

In this paper, we consider a model of competition between plasmid-bearing and plasmid-free organisms in the chemostat, where the yield coefficients and growth rates are assumed to be general functions of the nutrient concentration. We give a characterization of the outcome of this competition in terms of the-relevant parameters. Conditions of the existence and local stability of the rest points are obtained, and the global asymptotic behavior of the solutions is analyzed. In contrast to the corresponding model with constant yields rate, it is demonstrated that the variability of the yield coefficient may lead to oscillatory coexistence of plasmid-bearing and plasmid-free organisms in continuous culture.

关键词： chemostat plasmid stability limit cycle Hopf bifurcation perturbation

作者: Jianmei Luo Juan Qu

作者单位: College of Mathematics and Statistics,Chongqing Three Gorges University,Wanzhou, Chongqing, 404100, P, R, China

会议类型: 国际会议

会议名称: 2011 6th Joint International Information Technology and Artificial Intelligence Conference(2011年第六届IEEE联合国际信息技术与人工智能会议 IEEE ITAIC 2011)

会议地点: 重庆

会议语种:英文

页码: 852-856

在线出版日期: 2011-08-20（万方平台首次上网日期，不代表论文的发表时间）