# American Institute of Mathematical Sciences

December  2019, 24(12): 6607-6620. doi: 10.3934/dcdsb.2019158

## 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

Received  February 2018 Revised  March 2019 Published  July 2019

Fund Project: 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.

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.

Citation: Xavier Bardina, Sílvia Cuadrado, Carles Rovira. Coinfection in a stochastic model for bacteriophage systems. Discrete & Continuous Dynamical Systems - B, 2019, 24 (12) : 6607-6620. doi: 10.3934/dcdsb.2019158
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