在具有抑制剂的恒化器中，携带质粒和不含质粒的生物体之间竞争模型中的周期解。

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

作者信息

Ai S

机构信息

Department of Mathematics, University of Pittsburgh, PA 15216, USA.

出版信息

J Math Biol. 2001 Jan;42(1):71-94. doi: 10.1007/pl00000073.

DOI:10.1007/pl00000073

PMID:11271509

Abstract

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].

摘要

我们得到了一个三维系统存在唯一正平衡点的充要条件，以及该系统存在周期解的一组充分条件，该三维系统源自一个具有抑制剂的恒化器中携带质粒和不携带质粒的生物体之间竞争模型。我们的结果改进了Hsu、Luo和Waltman [1] 所得到的相应结果。