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Zbl 0584.92027
Butler, G.J.; Hsu, S.B.; Waltman, Paul
A mathematical model of the chemostat with periodic washout rate. (English)
[J] SIAM J. Appl. Math. 45, 435-449 (1985). ISSN 0036-1399; ISSN 1095-712X/e

The authors study a chemostat with a constant concentration of input nutrient and a time periodic washout rate. Using a global bifurcation theorem of {\it P. H. Rabinowitz} [J. Funct. Anal. 7, 487-513 (1971; Zbl 0212.165)], they establish the existence of a periodic solution, which corresponds to the coexistence of competitors, within appropriate parameter ranges. They also determine parameter regions where competitive exclusion holds.
[A.Hausrath]

MSC 2000:: *92D40 Ecology

Keywords: chemostat; constant concentration of input nutrient; time periodic washout rate; global bifurcation theorem; existence of a periodic solution; coexistence of competitors; competitive exclusion

Citations: Zbl 0212.165

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