Mathematics – Probability
Scientific paper
2011-09-06
Mathematics
Probability
17 pages, 2 figures
Scientific paper
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.
Bardina Xavier
Bascompte David
Rovira Carles
Tindel Samy
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