On a steady-state probability distribution for the bacterial population growth under the impact of antimicrobial resistance and its properties

In this study, we examine the statistical characteristics of a steady-state probability distribution of bacterial cells growth in the presence of antibiotic resistance, wherein the growth is subject to random fluctuations such as rapid changes in the environment. We estimate the parameters of the intrinsic rates of bacterial cells growth and antibiotic activity, as well as the intensity of intra-competitive forces that impact this distribution. Additionally, we investigate the characteristics of this distribution when deleting the period in which antibiotic resistance becomes apparent (i.e. when the rates of cell persistence and extinction are equal).