title: L-shaped prey isocline in the Gause predator-prey experiments with a prey refuge.
abstract: Predator and prey isoclines are estimated from data on yeast-protist population dynamics (Gause et al., 1936). Regression analysis shows that the prey isocline is best fitted by an L-shaped function that has a vertical and a horizontal part. The predator isocline is vertical. This shape of isoclines corresponds with the Lotka-Volterra and the Rosenzweig-MacArthur predator-prey models that assume a prey refuge. These results further support the idea that a prey refuge changes the prey isocline of predator-prey models from a horizontal to an L-shaped curve. Such a shape of the prey isocline effectively bounds amplitude of predator-prey oscillations, thus promotes species coexistence.
authors: Institute of Entomology, Biology Centre, The Czech Academy of Sciences, Branišovská 31, 370 05 České Budějovice, Czech Republic; Faculty of Science, University of South Bohemia, Branišovská 31, 370 05 České Budějovice, Czech Republic. Electronic address: vlastimil.Krivan@gmail.com.
authors: Vlastimil
authors: V
authors: Křivan
authors: Institute of Entomology, Biology Centre, The Czech Academy of Sciences, Branišovská 31, 370 05 České Budějovice, Czech Republic. Electronic address: anupam240@gmail.com.
authors: Anupam
authors: A
authors: Priyadarshi
mesh_terms: D000818:Animals; D008954:Models, Biological; D010247:Paramecium / Q000502:physiology; D011235:Predatory Behavior; D012568:Schizosaccharomyces / Q000502:physiology
keywords: Filippov solution; Lotka–Volterra model; Parameter estimation; Population dynamics; Rosenzweig–MacArthur model