An analysis of a stochastic model for bacteriophage systems

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

doi:https://doi.org/10.1016/j.mbs.2012.09.009

An analysis of a stochastic model for bacteriophage systems

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

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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 language	English
Pages (from-to)	99-108
Journal	Mathematical Biosciences
Volume	241
DOIs	https://doi.org/10.1016/j.mbs.2012.09.009
Publication status	Published - 1 Jan 2013

Keywords

Bacteriophage
Brownian motion
Competition systems
Large deviations

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https://doi.org/10.1016/j.mbs.2012.09.009

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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. {\textcopyright} 2012 Elsevier Inc.",

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AU - Bascompte, D.

AU - Rovira, C.

AU - Tindel, S.

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N2 - 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.

AB - 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.

KW - Bacteriophage

KW - Brownian motion

KW - Competition systems

KW - Large deviations

U2 - https://doi.org/10.1016/j.mbs.2012.09.009

DO - https://doi.org/10.1016/j.mbs.2012.09.009

M3 - Article

VL - 241

SP - 99

EP - 108

ER -

An analysis of a stochastic model for bacteriophage systems

Abstract

Keywords

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