Modeling nosocomial infection of COVID-19 transmission dynamics

COVID-19 epidemic has posed an unprecedented threat to global public health. The disease has alarmed the healthcare system with the harm of nosocomial infection. Nosocomial spread of COVID-19 has been discovered and reported globally in different healthcare facilities. Asymptomatic patients and super-spreaders are sough to be among of the source of these infections. Thus, this study contributes to the subject by formulating a $$ mathematical model to gain the insight into nosocomial infection for COVID-19 transmission dynamics. The role of personal protective equipment $$ is studied in the proposed model. Benefiting the next generation matrix method, $$ was computed. Routh-Hurwitz criterion and stable Metzler matrix theory revealed that COVID-19-free equilibrium point is locally and globally asymptotically stable whenever $$ . Lyapunov function depicted that the endemic equilibrium point is globally asymptotically stable when $$ . Further, the dynamics behavior of $$ was explored when varying $$ . In the absence of $$ , the value of $$ was 8.4584 which implies the expansion of the disease. When $$ is introduced in the model, $$ was 0.4229, indicating the decrease of the disease in the community. Numerical solutions were simulated by using Runge-Kutta fourth-order method. Global sensitivity analysis is performed to present the most significant parameter. The numerical results illustrated mathematically that personal protective equipment can minimizes nosocomial infections of COVID-19.