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Coexistence of Competing Species for Intermediate Dispersal Rates in a Reaction–Diffusion Chemostat Model
Journal of Dynamics and Differential Equations ( IF 1.4 ) Pub Date : 2019-05-29 , DOI: 10.1007/s10884-019-09763-0
Junping Shi , Yixiang Wu , Xingfu Zou

A diffusive chemostat model with two competing species and one nutrient is revisited in this paper. It is shown that at large diffusion rate, both species are washed out, while competition exclusion occurs at small diffusion rate. This implies that a stable coexistence only occurs at intermediate diffusion rate, and an explicit way of determining parameter ranges which support a stable coexistence steady state is given.

中文翻译:

反应扩散化学恒温模型中中间扩散速率竞争物种的共存

本文讨论了一种具有两种竞争物种和一种营养物的扩散型化学恒温器模型。结果表明,在大扩散速率下,两种物质都被洗掉,而在小扩散速率下发生竞争排斥。这意味着稳定的共存仅在中间扩散速率下发生,并且给出了确定支持稳定的共存稳态的参数范围的明确方法。
更新日期:2019-05-29
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