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Journal Articles Mathematical Biosciences Year : 2013

An analysis of a stochastic model for bacteriophage systems

Abstract

In this article, we analyze a system modeling bacteriophage treatments for infections in a noisy context. In the small noise regime, we show that after a reasonable amount of time the system is close to a sane equilibrium (which is a relevant biologic information) with high probability. Mathematically speaking, our study hinges on concentration techniques for delayed stochastic differential equations.
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Dates and versions

hal-00619307 , version 1 (06-09-2011)

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Xavier Bardina, David Bascompte, Carles Rovira, Samy Tindel. An analysis of a stochastic model for bacteriophage systems. Mathematical Biosciences, 2013, 241 (1), pp.99-108. ⟨10.1016/j.mbs.2012.09.009⟩. ⟨hal-00619307⟩
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