An analysis of a stochastic model for bacteriophage systems

Xavier Bardina (1) , David Bascompte (1) , Carles Rovira (2) , Samy Tindel (3, 4)

1 UAB - Departament de Matemàtiques [Barcelona]
2 Departament de Probabilitat, Lògica i Estadística [Barcelona]
3 IECL - Institut Élie Cartan de Lorraine
4 BIGS - Biology, genetics and statistics

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.

Mots clés: Bacteriophage; Competition systems; Brownian motion; Large deviations

Domaines: Probabilités [math.PR]

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⟩