Modeling nosocomial infection of COVID-19 transmission dynamics

• Published in: Results in physics Vol. 37; p. 105503
• Main Authors: Masandawa, Lemjini, Mirau, Silas Steven, Mbalawata, Isambi Sailon, Paul, James Nicodemus, Kreppel, Katharina, Msamba, Oscar M.
• Format: Journal Article
• Language: English
• Published: Netherlands Elsevier B.V 01.06.2022; The Author(s). Published by Elsevier B.V; Elsevier
• Subjects: Basic reproduction number; Hospital-acquired infection; Personal protective equipment; PRCC; Proposed C0VID-19 model; Personal protective equipment; Basic reproduction number; Hospital-acquired infection; Proposed C0VID-19 model; PRCC
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2022.105503

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 SEIHR mathematical model to gain the insight into nosocomial infection for COVID-19 transmission dynamics. The role of personal protective equipment θ is studied in the proposed model. Benefiting the next generation matrix method, R0 was computed. Routh–Hurwitz criterion and stable Metzler matrix theory revealed that COVID-19-free equilibrium point is locally and globally asymptotically stable whenever R0<1. Lyapunov function depicted that the endemic equilibrium point is globally asymptotically stable when R0>1. Further, the dynamics behavior of R0 was explored when varying θ. In the absence of θ, the value of R0 was 8.4584 which implies the expansion of the disease. When θ is introduced in the model, R0 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. •Lyapunov function is deployed to establish global stability at both DFE and endemic points.•The use of PPE shown a significant impact mathematically in curbing COVID-19.•Nosocomial infection for COVID-19 are hospital acquired infection.•Positivity and boundedness is proved using calculus technique.