Analysis of deterministic and stochastic mathematical models with resistant bacteria and bacteria debris for bacteriophage dynamics

作者:

Highlights:

摘要

Bacteriophages, more colloquially known as phages, are viruses that kill bacteria. Phages are used to treat bacterial infections. In this paper, an underlying deterministic bacteriophage model is extended with the objective of investigating bacteria-phage dynamics taking into account resistant bacteria and bacteria debris, and is analyzed. In addition, this extended model accounts for multiple phage attachment and phage loss due to attachment to latently and actively infected bacteria. Based on this extended deterministic model, two new stochastic models, a continuous-time Markov chain (CTMC) model and an Itô stochastic differential equation (SDE) model were derived and analyzed. Numerical examples illustrate some of the dynamics of the bacteriophage interaction when resistant bacteria are present.

论文关键词:Phage,Resistant bacteria,Bacteria debris,Branching process,Stochastic differential equation

论文评审过程:Received 29 January 2017, Revised 23 July 2017, Accepted 12 August 2017, Available online 3 September 2017, Version of Record 3 September 2017.

论文官网地址:https://doi.org/10.1016/j.amc.2017.08.022