On the exponential stability of a stochastic model for transmission dynamics of antimicrobial‐resistant infections

Abstract

In this research, a comprehensive stochastic model was developed to analyze the transmission dynamics of methicillin‐resistant Staphylococcus aureus (MRSA) in both hospital‐acquired and community‐acquired contexts. The study explored the existence and uniqueness of solutions and established the presence of a global solution. The investigation focused on assessing the boundedness, extinction, and persistence of MRSA strains in terms of their means. The analysis of the model revealed a noteworthy phenomenon known as competitive exclusion, where the community‐acquired MRSA strain gradually out‐competes the hospital‐acquired strain within hospital settings. In conclusion, effective interventions and preventive measures, such as improving hand hygiene compliance, implementing decolonization strategies, and enhancing disinfection rates, emerge as critical factors in controlling the transmission of these strains within hospital environments.