文章基本信息

标题：Modeling bounded random fluctuations in biological systems: application to the chemostat model with two species
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作者：Tomás Caraballo ; Javier Lüpez-de-la-Cruz ; Alain Rapaport 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：26
页码：187-192
DOI：10.1016/j.ifacol.2019.12.256
语种：English
出版社：Elsevier
摘要：The chemostat model is used in many situations to represent biological systems in which micro-organisms grow on abiotic resources. Nevertheless, most of the times, the deterministic versions of this model are analyzed in spite of random fluctuations that frequently appear in real life ecosystems. We model and analyze random fluctuations on the input flow in the chemostat model, that are bounded inside a given interval that could be provided by practitioners. We use the Ornstein-Uhlenbeck process which has already proved to be a suitable tool when modeling biological systems. In the present work, we consider the chemostat model with two competing species, for which the Competitive Exclusion Principle holds in absence of disturbances. We show that the kind of fluctuations on the input that we consider here allows the coexistence of species.
关键词：KeywordsChemostat modelpopulation competitionOrnstein-Uhlenbeck processbounded fluctuationsrandom inputs