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Invasion and fixation of microbial dormancy traits under competitive pressure
Stochastic Processes and their Applications ( IF 1.4 ) Pub Date : 2020-12-01 , DOI: 10.1016/j.spa.2020.07.018
Jochen Blath , András Tóbiás

Microbial dormancy is an evolutionary trait that has emerged independently at various positions across the tree of life. It describes the ability of a microorganism to switch to a metabolically inactive state that can withstand unfavorable conditions. However, maintaining such a trait requires additional resources that could otherwise be used to increase e.g. reproductive rates. In this paper, we aim for gaining a basic understanding under which conditions maintaining a seed bank of dormant individuals provides a "fitness advantage" when facing resource limitations and competition for resources among individuals (in an otherwise stable environment). In particular, we wish to understand when an individual with a "dormancy trait" can invade a resident population lacking this trait despite having a lower reproduction rate than the residents. To this end, we follow a stochastic individual-based approach employing birth-and-death processes, where dormancy is triggered by competitive pressure for resources. In the large-population limit, we identify a necessary and sufficient condition under which a complete invasion of mutants has a positive probability. Further, we explicitly determine the limiting probability of invasion and the asymptotic time to fixation of mutants in the case of a successful invasion. In the proofs, we observe the three classical phases of invasion dynamics in the guise of Coron et al. (2017, 2019).

中文翻译:

竞争压力下微生物休眠性状的入侵与固定

微生物休眠是一种进化特征,它在生命之树的不同位置独立出现。它描述了微生物转换到可以承受不利条件的代谢不活跃状态的能力。然而,保持这种性状需要额外的资源,否则这些资源可用于提高繁殖率。在本文中,我们旨在获得一个基本的了解,在哪些条件下维持休眠个体的种子库会在面临资源限制和个体之间的资源竞争时(在其他稳定的环境中)提供“适应优势”。特别是,我们希望了解具有“休眠特征”的个体何时 尽管繁殖率低于居民,但可以入侵缺乏这种特性的居民。为此,我们遵循一种基于随机个体的方法,采用生死过程,其中休眠是由对资源的竞争压力触发的。在人口众多的限制下,我们确定了一个充分必要条件,在该条件下,突变体的完全入侵具有正概率。此外,我们明确确定了入侵的极限概率和在成功入侵的情况下固定突变体的渐近时间。在证明中,我们以 Coron 等人的名义观察了入侵动力学的三个经典阶段。(2017 年,2019 年)。休眠是由资源的竞争压力触发的。在人口众多的限制下,我们确定了一个充分必要条件,在该条件下,突变体的完全入侵具有正概率。此外,我们明确确定了入侵的极限概率和在成功入侵的情况下固定突变体的渐近时间。在证明中,我们以 Coron 等人的名义观察了入侵动力学的三个经典阶段。(2017 年,2019 年)。休眠是由资源的竞争压力触发的。在人口众多的限制下,我们确定了一个充分必要条件,在该条件下,突变体的完全入侵具有正概率。此外,我们明确确定了入侵的极限概率和在成功入侵的情况下固定突变体的渐近时间。在证明中,我们以 Coron 等人的名义观察了入侵动力学的三个经典阶段。(2017 年,2019 年)。我们以 Coron 等人的名义观察了入侵动力学的三个经典阶段。(2017 年,2019 年)。我们以 Coron 等人的名义观察了入侵动力学的三个经典阶段。(2017 年,2019 年)。
更新日期:2020-12-01
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