Non-periodicity of chemostats: a multi-dimensional negative Bendixson Dulac criterion
نویسنده
چکیده
The chemostat plays a well-established role as a model open system in ecology the comprehensive monograph see [HSm95]. Basically, the chemostat consists of a nutrient input pumped at a constant rate into a well-mixed culture vessel. Volume is kept constant by pumping the mixed contents out at the same rate. We assume all nutrients needed for growth, except one, to be present in abundance. In addition to being a piece of laboratory apparatus for continuous culturing of bacteria, the chemostat is also a model for a very simple lake where exploitative competition is easily studied. Let S(t) denote the nutrient concentration at time t and x i (t) the concentration of the i-th competing species, i = 1, 2. .. N. The model with possibly different removal rates d i is then given by (1.1) ˙ S(t) = (S 0 − S)D −
منابع مشابه
Non-periodicity in chemostat equations: a multi-dimensional negative Bendixson-Dulac criterion.
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