## Journal of Applied Probability

### Coexistence and noncoexistence of Markovian viruses and their hosts

#### Abstract

Examining possibilities for the coexistence of two competing populations is a classic problem which dates back to the earliest predator-prey' models. In this paper we study this problem in the context of a model introduced in Björnberg et al. (2012) 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.

#### Article information

Source
J. Appl. Probab., Volume 51, Number 1 (2014), 191-208.

Dates
First available in Project Euclid: 25 March 2014

https://projecteuclid.org/euclid.jap/1395771423

Digital Object Identifier
doi:10.1239/jap/1395771423

Mathematical Reviews number (MathSciNet)
MR3189451

Zentralblatt MATH identifier
1301.60098

#### Citation

Björnberg, Jakob E.; Broman, Erik I. Coexistence and noncoexistence of Markovian viruses and their hosts. J. Appl. Probab. 51 (2014), no. 1, 191--208. doi:10.1239/jap/1395771423. https://projecteuclid.org/euclid.jap/1395771423