Periodic solutions in a model of competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor

Periodic solutions in a model of competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor
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DOI:
10.1007/pl00000073
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发表时间:
2001
影响因子:
1.9
通讯作者:
Shangbing Ai
Shangbing Ai
中科院分区:
数学4区
文献类型:
--
作者:
Shangbing Ai

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我们得到了一个3维系统存在唯一正平衡点的充分必要条件和存在周期解的一组充分条件,该系统是由一个带有抑制剂的恒化器中的含质粒和无质粒生物之间的竞争模型产生的。我们的结果改进了Hsu,Luo和Waltman [1]的相应结果.
We obtain necessary and sufficient conditions on the existence of a unique positive equilibrium point and a set of sufficient conditions on the existence of periodic solutions for a 3-dimensional system which arises from a model of competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor. Our results improve the corresponding results obtained by Hsu, Luo, and Waltman [1].