Viral Evolution and Adaptation as a Multivariate Branching Process

Biology – Quantitative Biology – Populations and Evolution

Scientific paper

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16 pages, 3 figures. A new example was added to section 2 and some typos have been corrected

Scientific paper

In the present paper we analyze the problem of adaptation and evolution of RNA virus populations, by defining the basic stochastic model as a multivariate branching process. The defined stochastic process turns out to be well suited to describe several aspects of RNA viral populations. We show that in the absence of beneficial forces the model is exactly solvable. As a result it is possible to prove several key results directly related to known typical properties of these systems. Moreover, new insights on the dynamics of evolving virus populations can be foreseen.

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