Coexistence and non-coexistence of Markovian viruses and their hosts
Probability
2012-10-30 v1
Abstract
The possibility of coexistence of two competing populations is a classical question which dates back to the earliest `predator-prey' models. In this paper we study this question in the context of a model for the spread of a virus infection in a population of healthy cells. The infected cells may be seen as a population of `predators' and the healthy cells as a population of `prey'. We show that, depending on the parameters defining the model, there may or may not be coexistence of the two populations, and we give precise criteria for this.
Keywords
Cite
@article{arxiv.1210.7660,
title = {Coexistence and non-coexistence of Markovian viruses and their hosts},
author = {Jakob E. Björnberg and Erik I. Broman},
journal= {arXiv preprint arXiv:1210.7660},
year = {2012}
}