Journal of Applied Probability

Coexistence and noncoexistence of Markovian viruses and their hosts

Jakob E. Björnberg and Erik I. Broman

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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

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

First available in Project Euclid: 25 March 2014

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)
Secondary: 60J85: Applications of branching processes [See also 92Dxx]

Coexistence branching process interacting branching process


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.

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