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Coexistence and noncoexistence of Markovian viruses and their hosts
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: Journal of Applied Probability, ISSN 0021-9002, E-ISSN 1475-6072, Vol. 51, no 1, 191-208 p.Article in journal (Refereed) Published
Abstract [en]

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 Bjornberg 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.

Place, publisher, year, edition, pages
2014. Vol. 51, no 1, 191-208 p.
Keyword [en]
Coexistence, branching process, interacting branching process
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:uu:diva-225224ISI: 000334819300014OAI: oai:DiVA.org:uu-225224DiVA: diva2:721013
Available from: 2014-06-03 Created: 2014-05-28 Last updated: 2017-12-05Bibliographically approved

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Björnberg, Jakob E.Broman, Erik I.

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