Coinfection in a stochastic model for bacteriophage systems

Xavier Bardina; Sílvia Cuadrado; Carles Rovira

doi:10.3934/dcdsb.2019158

Article Contents

2019, Volume 24, Issue 12: 6607-6620. Doi: 10.3934/dcdsb.2019158

This issue Previous Article Nonlinear decomposition principle and fundamental matrix solutions for dynamic compartmental systems Next Article On the dynamics of a durable commodity market

Coinfection in a stochastic model for bacteriophage systems

1.
Departament de Matemàtiques, Universitat Autònoma de Barcelona, Avinguda de l'Eix Central, 08193 Bellaterra, Spain
2.
Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain

^* Corresponding author: Carles Rovira
^* Corresponding author: Carles Rovira

Received: January 31, 2018

Revised: February 28, 2019

Early access: July 2019

Published: September 2019

X. Bardina is partially supported by the grant MTM2015-67802-P from MINECO, S. Cuadrado is partially supported by the grant MTM2017-84214-C2-2-P from MICINN and C. Rovira is partially supported by the grant MTM2015-65092-P from MINECO/FEDER, UE

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Abstract

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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Mathematics Subject Classification: Primary: 92D25; Secondary: 93E03, 34F05, 60H10.

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