THE DYNAMICS OF BACTERIA-PLASMID SYSTEMS

THE DYNAMICS OF BACTERIA-PLASMID SYSTEMS
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DOI:
10.1007/bf00163028
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发表时间:
1994-01-01
影响因子:
1.9
通讯作者:
WALDSTATTER, R
WALDSTATTER, R
中科院分区:
数学4区
文献类型:
--
作者:
MACKEN, CA;LEVIN, SA;WALDSTATTER, R

文献摘要

被引文献

相似文献

我们引入了一个关于单个质粒型和单个细菌细胞类型的动力学的一般模型,遵循Stewart和Levin(1977)将种群细分为有质粒细胞和无质粒细胞。对于死亡率是种群大小的线性函数的特殊情况,我们证明了多个稳定状态和阈值的存在,从而说明在某些情况下,一个质粒种群的建立可能依赖于足够高水平的质粒的引入。对于一般单调递增的死亡率函数,我们还详细地分析了“流行病”的情况,在这种情况下,质粒给宿主带来了净成本,并证明了这种质粒是可能建立的。斯图尔特和莱文之前在一个更受限制的模型中证明了这一效应。
We introduce a general model for the dynamics of a single plasmid type and a single bacterial cell type, following Stewart and Levin (1977) in subdividing the population into plasmid-bearing and plasmid-free cells. For the particular case of mortality being a linear function of population sizes, we demonstrate the existence of multiple stable states and threshold values, thus illustrating that, in some cases, the establishment of a population of plasmids may depend on introduction of plasmids at sufficiently high levels. We also analyze in detail, for a general monotonically increasing mortality function, the ''epidemiological'' case in which plasmids confer a net cost on their hosts, and demonstrate that it is possible for such plasmids to become established. Stewart and Levin previously demonstrated this effect in a more restricted model.