Studying the Influence of Antimicrobial Resistance on the Probability Distribution of Densities for Synchronization Growing of Different Kinds of Bacteria

Abstract

Multiple types of microorganisms impact people with immunological illnesses simultaneously. In the presence of antibiotic resistance and random fluctuations such as rapid changes in the environment, the synchronization growth density varies stochastically from one species to another. Therefore, in this work, we study the multivariate probability distribution of the density of all species at the same time. Using the principle of independence of growth density for each species, we provide the statistical properties of this distribution. Furthermore, we estimate the parameters of the intrinsic rates of antibiotic action and bacterial cell growth for each variety, along with the strength of the intra-competitive pressures influencing this distribution.

Keywords:

• Multivariate bacterial cells growth distribution
• statistical properities
• moments
• parameters estimation

Mathematics Subject Classification:

• 46N55
• 60G51
• 60G40

Disclosure statement

No potential conflict of interest was reported by the authors.

Data availability statement

My manuscript has no associated data.