THE PARADOX OF ENRICHMENT, SPATIAL HETEROGENEITY, COMMUNITY EFFECTS AND THE PHENOMENON OF APPARENT DISAPPEARANCE IN THE MARINE BACTERIOPHAGE DYNAMICS

A. Korobeinikov, E. Shchepakina, V. Sobolev
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Abstract

Abstract In aquatic microbial systems, high-magnitude variations in abundance, such as sudden blooms alternating with comparatively long periods of very low abundance (“apparent disappearance”), are relatively common. We suggest that in order for this to occur, such variations in abundance in microbial systems and, in particular, the apparent disappearance of species do not require seasonal or periodic forcing of any kind or external factors of any other nature. Instead, such variations can be caused by internal factors and, in particular, by bacteria–phage interaction. Specifically, we suggest that the variations in abundance and the apparent disappearance phenomenon can be a result of phage infection and the lysis of infected bacteria. To illustrate this idea, we consider a reasonably simple mathematical model of bacteria–phage interaction based on the model suggested by Beretta and Kuang, which assumes neither periodic forcing nor action of other external factors. The model admits a loss of stability via Andronov–Hopf bifurcation and exhibits dynamics which explains the phenomenon. These properties of the model are especially distinctive for spatially nonhomogeneous biosystems as well as biosystems with some sort of cooperation or community effects.
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海洋噬菌体动态中的富集悖论、空间异质性、群落效应和明显消失现象
在水生微生物系统中,丰度的大幅度变化,如突然华与相对较长时间的极低丰度交替(“明显消失”),是相对常见的。我们认为,为了使这种情况发生,微生物系统中丰度的这种变化,特别是物种的明显消失,不需要任何种类的季节性或周期性强迫或任何其他性质的外部因素。相反,这种变异可能是由内部因素引起的,特别是由细菌-噬菌体相互作用引起的。具体来说,我们认为丰度的变化和明显的消失现象可能是噬菌体感染和被感染细菌裂解的结果。为了说明这一观点,我们考虑了一个相当简单的细菌-噬菌体相互作用的数学模型,该模型基于Beretta和Kuang提出的模型,该模型既不假设周期性强迫,也不假设其他外部因素的作用。该模型承认通过Andronov-Hopf分岔的稳定性损失,并表现出解释该现象的动力学。该模型的这些特性在空间非同质生物系统以及具有某种合作或群落效应的生物系统中尤为突出。
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