Permanence and Stability of a Kill the Winner Model in Marine Ecology
Populations and Evolution
2016-07-22 v2
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.
Keywords
Cite
@article{arxiv.1605.01017,
title = {Permanence and Stability of a Kill the Winner Model in Marine Ecology},
author = {Daniel A. Korytowski and Hal L. Smith},
journal= {arXiv preprint arXiv:1605.01017},
year = {2016}
}
Comments
12 pages, 3 figures