Effects of Random Motility on Microbial Growth and Competition in a Flow Reactor
Effects of Random Motility on Microbial Growth and Competition in a Flow Reactor
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DOI：
10.1137/s0036139997325345
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发表时间：
1998-11
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影响因子：
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通讯作者：
Don A. Jones;Hal L. Smith;D. Le;M. Ballyk
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文献类型：
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作者：
Don A. Jones;Hal L. Smith;D. Le;M. Ballyk
作者研究了随机运动对微生物种群在纯培养中生存的能力的影响，并在由非线性抛物偏微分方程组组成的流动反应器模型中成为混合培养中稀缺营养素的良好竞争者。对于纯培养物（* 单个种群），导出了区分两种结果的尖锐条件：（1）种群从反应器中洗脱或（2）种群的持续性和存在唯一的单种群稳态。模拟表明，这种稳定状态在全球范围内具有吸引力。对于两个种群竞争稀缺养分的情况，他们得到了两个种群一致持久的充分条件，共存稳定态的存在，以及一个种群竞争性地排除竞争对手的能力。大量的模拟结果表明：（1）所有的解都接近于某个稳态解;（2）经典的竞争Lotka-Volterra ODE模型所表现出的所有可能的结果都可以在该模型中出现;（3）两种细菌菌株之间的竞争结果可以相当微妙地依赖于它们各自的随机运动系数。
The authors investigate the effects of random motility on the ability of a microbial population to survive in pure culture and to be a good competitor for scarce nutrient in mixed culture in a flow reactor model consisting of a nonlinear parabolic system of partial differential equations. For pure culture (*a single population), a sharp condition is derived which distinguishes between the two outcomes: (1) washout of the population from the reactor or (2) persistence of the population and the existence of a unique single-population steady state. The simulations suggest that this steady state is globally attracting. For the case of two populations competing for scarce nutrient, they obtain sufficient conditions for the uniform persistence of the two populations, for the existence of a coexistence steady state, and for the ability of one population to competitively exclude a rival. Extensive simulations are reported which suggest that (1) all solutions approach some steady state solution, (2) all possible outcomes exhibited by the classical competitive Lotka-Volterra ODE model can occur in the model, and (3) the outcome of competition between two bacterial strains can depend rather subtly on their respective random motility coefficients.