title: Permanence and Stability of a Kill the Winner Model in Marine Ecology.
abstract: 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.
authors.affiliation: School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ, 85287, USA. DKorytow@asu.com.
authors.forename: Daniel A
authors.identifier: 0000-0001-6223-2040
authors.initials: DA
authors.lastname: Korytowski
authors.affiliation: School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ, 85287, USA.
authors.forename: Hal
authors.initials: H
authors.lastname: Smith
mesh_terms: D000818:Animals; D059001:Aquatic Organisms; D001419:Bacteria; D017753:Ecosystem; D020387:Food Chain; D055641:Mathematical Concepts; D059013:Microbial Consortia; D008954:Models, Biological; D014780:Viruses; D015048:Zooplankton
keywords: Bacteria; Infection network; Kill the winner; Lotka–Volterra system; Parasite-mediated coexistence; Permanence; Virus; Zooplankton