Modeling nosocomial infection of COVID-19 transmission dynamics

• Published in: Results in physics 2022-06, Vol.37, p.105503-105503, Article 105503
• Main Authors: Masandawa, Lemjini, Mirau, Silas Steven, Mbalawata, Isambi Sailon, Paul, James Nicodemus, Kreppel, Katharina, Msamba, Oscar M.
• Format: Article
• Language: English
• Subjects: Basic reproduction number; Hospital-acquired infection; Personal protective equipment; PRCC; Proposed C0VID-19 model
• 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 R01. 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.