title: A Rosenzweig-MacArthur (1963) Criterion for the Chemostat.
abstract: The Rosenzweig-MacArthur (1963) criterion is a graphical criterion that has been widely used for elucidating the local stability properties of the Gause (1934) type predator-prey systems. It has not been stated whether a similar criterion holds for models with explicit resource dynamics (Kooi et al. (1998)), like the chemostat model. In this paper we use the implicit function theorem and implicit derivatives for proving that a similar graphical criterion holds under chemostat conditions, too.
authors: Department of Mathematics, Linnaeus University, 35195 Växjö, Sweden.
authors: Torsten
authors: 0000-0002-7261-0399
authors: T
authors: Lindström
authors: School of Technology, Malmö University, 20506 Malmö, Sweden.
authors: Yuanji
authors: Y
authors: Cheng
mesh_terms: D000818:Animals; D008954:Models, Biological; D011157:Population Dynamics; D011235:Predatory Behavior