Abstract
An analysis is given of a mathematical model of two predators feeding on a single prey growing in the chemostat. In the case that one of the predators goes extinct, a global stability result is obtained. Under appropriate circumstances, a bifurcation theorem can be used to show that coexistence of the predators occurs in the form of a limit cycle.
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Research supported by NSERC Grant A-8130
Research supported by National Science Council of ROC
Research supported by NSF Grant MCS-8120380. A portion of this research was performed while the author was a Visiting Professor at the University of Southern California, Los Angeles
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Butler, G.J., Hsu, S.B. & Waltman, P. Coexistence of competing predators in a chemostat. J. Math. Biology 17, 133–151 (1983). https://doi.org/10.1007/BF00305755
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DOI: https://doi.org/10.1007/BF00305755