Coexistence of competing predators in a chemostat
GJ Butler, SB Hsu, P Waltman - Journal of Mathematical Biology, 1983 - Springer
GJ Butler, SB Hsu, P Waltman
Journal of Mathematical Biology, 1983•SpringerAn 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.
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.
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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