Non-periodicity in chemostat equations: a multi-dimensional negative Bendixson-Dulac criterion.
نویسندگان
چکیده
We establish conditions which exclude periodic solutions in a simple chemostat with a single nutrient and N competing species. Growth rates are not required to be proportional to food uptake. Instead of a Lyapunov function approach, we develop and apply a multi-dimensional Bendixson-Dulac type exclusion principle based on differential forms.
منابع مشابه
Non-periodicity of chemostats: a multi-dimensional negative Bendixson Dulac criterion
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 ad...
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ورودعنوان ژورنال:
- Journal of mathematical biology
دوره 59 2 شماره
صفحات -
تاریخ انتشار 2009