Competition between Plasmid-Bearing and Plasmid-Free Organisms in a Chemostat with Pulsed Input and Washout
Competition between Plasmid-Bearing and Plasmid-Free Organisms in a Chemostat with Pulsed Input and Washout
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DOI：
10.1155/2009/204632
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发表时间：
2009-12
影响因子：
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通讯作者：
Sanling Yuan;Yu Zhao;A. Xiao
中科院分区：
文献类型：
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作者：
Sanling Yuan;Yu Zhao;A. Xiao
我们考虑一个模型的竞争质粒轴承和质粒自由的生物体在恒化器与脉冲输入和冲洗。我们研究了含有营养物和无质粒生物的子系统，并研究了边界周期解的稳定性，即系统的边界周期解。边界周期解的稳定性分析得到了携带质粒的生物体的入侵阈值。通过使用分叉理论的标准技术，我们证明了在此阈值以上，有周期性振荡的基板，无质粒，和质粒轴承生物。数值模拟进行了说明我们的结果。
We consider a model of competition between plasmid-bearing and plasmid-free organisms in the chemostat with pulsed input and washout. We investigate the subsystem with nutrient and plasmid-free organism and study the stability of the boundary periodic solutions, which are the boundary periodic solutions of the system. The stability analysis of the boundary periodic solution yields the invasion threshold of the plasmid-bearing organism. By using the standard techniques of bifurcation theory, we prove that above this threshold there are periodic oscillations in substrate, plasmid-free, and plasmid-bearing organisms. Numerical simulations are carried out to illustrate our results.