Coinfection in a stochastic model for bacteriophage systems

Xavier Bardina; Sílvia Cuadrado; Carles Rovira

doi:10.3934/dcdsb.2019158

Coinfection in a stochastic model for bacteriophage systems

Xavier Bardina, Sílvia Cuadrado, Carles Rovira

Department of Mathematics

Research output: Contribution to journal › Article › Research

Abstract

© 2019 American Institute of Mathematical Sciences. All rights reserved. A system modeling bacteriophage treatments with coinfections in a noisy context is analysed. We prove that in a small noise regime, the system converges in the long term to a bacteria-free equilibrium. Moreover, we compare the treatment with coinfection with the treatment without coinfection, showing how coinfection affects the convergence to the bacteria-free equilibrium.

Original language	English
Pages (from-to)	6607-6620
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	24
DOIs	https://doi.org/10.3934/dcdsb.2019158
Publication status	Published - 1 Dec 2019

Keywords

Bacteriophage
Coinfection
Stochastic fluctuations

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title = "Coinfection in a stochastic model for bacteriophage systems",

abstract = "{\textcopyright} 2019 American Institute of Mathematical Sciences. All rights reserved. A system modeling bacteriophage treatments with coinfections in a noisy context is analysed. We prove that in a small noise regime, the system converges in the long term to a bacteria-free equilibrium. Moreover, we compare the treatment with coinfection with the treatment without coinfection, showing how coinfection affects the convergence to the bacteria-free equilibrium.",

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author = "Xavier Bardina and S{\'i}lvia Cuadrado and Carles Rovira",

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AU - Bardina, Xavier

AU - Cuadrado, Sílvia

AU - Rovira, Carles

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N2 - © 2019 American Institute of Mathematical Sciences. All rights reserved. A system modeling bacteriophage treatments with coinfections in a noisy context is analysed. We prove that in a small noise regime, the system converges in the long term to a bacteria-free equilibrium. Moreover, we compare the treatment with coinfection with the treatment without coinfection, showing how coinfection affects the convergence to the bacteria-free equilibrium.

AB - © 2019 American Institute of Mathematical Sciences. All rights reserved. A system modeling bacteriophage treatments with coinfections in a noisy context is analysed. We prove that in a small noise regime, the system converges in the long term to a bacteria-free equilibrium. Moreover, we compare the treatment with coinfection with the treatment without coinfection, showing how coinfection affects the convergence to the bacteria-free equilibrium.

KW - Bacteriophage

KW - Coinfection

KW - Stochastic fluctuations

U2 - 10.3934/dcdsb.2019158

DO - 10.3934/dcdsb.2019158

M3 - Article

VL - 24

SP - 6607

EP - 6620

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

SN - 1531-3492

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