Journal of Applied Probability

A branching process for virus survival

J. Theodore Cox and Rinaldo B. Schinazi

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Abstract

Quasispecies theory predicts that there is a critical mutation probability above which a viral population will go extinct. Above this threshold the virus loses the ability to replicate the best-adapted genotype, leading to a population composed of low replicating mutants that is eventually doomed. We propose a new branching model that shows that this is not necessarily so. That is, a population composed of ever changing mutants may survive.

Article information

Source
J. Appl. Probab., Volume 49, Number 3 (2012), 888-894.

Dates
First available in Project Euclid: 6 September 2012

Permanent link to this document
https://projecteuclid.org/euclid.jap/1346955342

Digital Object Identifier
doi:10.1239/jap/1346955342

Mathematical Reviews number (MathSciNet)
MR3012108

Zentralblatt MATH identifier
1277.60186

Subjects
Primary: 60K37: Processes in random environments
Secondary: 92D25: Population dynamics (general)

Keywords
Quasispecies branching process random environment evolution

Citation

Cox, J. Theodore; Schinazi, Rinaldo B. A branching process for virus survival. J. Appl. Probab. 49 (2012), no. 3, 888--894. doi:10.1239/jap/1346955342. https://projecteuclid.org/euclid.jap/1346955342


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