Mathematical analysis on nonautonomous droop model for phytoplankton growth in a chemostat: Boundedness, permanence and extinction. (English) Zbl 1196.92046
Summary: We considered the non-autonomous M. R. Droop model [see J. Mar. Biol. Assoc. 48, 689–733 (1968)] for phytoplankton growth in a chemostat in which the nutrient input varies non-periodically. It is assumed that the growth rate varies with the internal nutrient level of the cell and the uptake rate of phytoplankton depends on both the external and the internal nutrient concentrations. A series of new criteria on the positivity, boundedness, permanence and extinction of the population is established.
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