An analysis of a stochastic model for bacteriophage systems

X. Bardina, D. Bascompte, C. Rovira, S. Tindel

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

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 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.
Original languageEnglish
Pages (from-to)99-108
JournalMathematical Biosciences
Volume241
DOIs
Publication statusPublished - 1 Jan 2013

Keywords

  • Bacteriophage
  • Brownian motion
  • Competition systems
  • Large deviations

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