title: 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 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.
authors.affiliation: Departament de Matemàtiques, Facultat de Ciències, Edifici C, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain. Xavier.Bardina@uab.cat
authors.forename: X
authors.initials: X
authors.lastname: Bardina
authors.forename: D
authors.initials: D
authors.lastname: Bascompte
authors.forename: C
authors.initials: C
authors.lastname: Rovira
authors.forename: S
authors.initials: S
authors.lastname: Tindel
mesh_terms: D000818:Animals; D001424:Bacterial Infections / Q000517:prevention & control / Q000628:therapy; D001433:Bacteriolysis; D001435:Bacteriophages / Q000502:physiology*; D006801:Humans; D055641:Mathematical Concepts; D008954:Models, Biological; D013269:Stochastic Processes; D049490:Systems Biology