Permanence and Stability of a Kill the Winner Model in Marine Ecology
  We focus on the long term dynamics of "killing the winner" Lotka-Volterra models of marine communities consisting of bacteria, virus, and zooplankton. Under suitable conditions, it is shown that there is a unique equilibrium with all populations present which is stable, the system is permanent, and the limiting behavior of its solutions is strongly constrained. 
Daniel A. Korytowski and Hal L. Smith
q-bio.PE