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 bacteria free equilibrium (which is a relevant biologic information) with high probability. Mathematically speaking, our study hinges on concentration techniques for delayed stochastic differential equations. © 2012 Elsevier Inc.
|Publication status||Published - 1 Jan 2013|
- Brownian motion
- Competition systems
- Large deviations