In a 1987 paper, Kuang and Freedman established criteria for uniqueness of limit cycles in one model of these systems called the "Gause-type.
In a 1987 paper, Kuang and Freedman established criteria for uniqueness of limit cycles in one model of these systems called the "Gause-type." The total time is split into "search time" and "handling time" in a "disc equation" describing these systems. One model of these systems incorporates a Holling type II functional response in one of the equations and a density- dependent term in the other equation; that model is named for Rosenzweig and MacArthur.These systems can be described by the equations "x prime equals a x minus b x y" and "y prime equals c x y minus d y." The solutions to those coupled differential equations either drop to zero, or display oscillatory behavior where neither population reaches a carrying capacity. For 10 points, the Lotka-Volterra equations describe what type of interspecies interaction where one organism is a food source for another?
In a 1987 paper, Kuang and Freedman established criteria for uniqueness of limit cycles in one model of these systems called the "Gause-type.
predator-prey interaction [accept answers indicating that "a  predator is  eating," accept descriptive answers indicating that "one species is  eating another species," prompt on "foraging"]