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 supe...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722002455 |
| _version_ | 1811233821164568576 |
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| author | Lemjini Masandawa Silas Steven Mirau Isambi Sailon Mbalawata James Nicodemus Paul Katharina Kreppel Oscar M. Msamba |
| author_facet | Lemjini Masandawa Silas Steven Mirau Isambi Sailon Mbalawata James Nicodemus Paul Katharina Kreppel Oscar M. Msamba |
| author_sort | Lemjini Masandawa |
| collection | DOAJ |
| description | 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 SEIHRmathematical 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, R0was 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 R0was explored when varying θ. In the absence of θ, the value of R0was 8.4584 which implies the expansion of the disease. When θ is introduced in the model, R0was 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. |
| first_indexed | 2024-04-12T11:26:55Z |
| format | Article |
| id | doaj.art-c5ac59bac1304039a8826d6806963808 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-12T11:26:55Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-c5ac59bac1304039a8826d68069638082022-12-22T03:35:13ZengElsevierResults in Physics2211-37972022-06-0137105503Modeling nosocomial infection of COVID-19 transmission dynamicsLemjini Masandawa0Silas Steven Mirau1Isambi Sailon Mbalawata2James Nicodemus Paul3Katharina Kreppel4Oscar M. Msamba5School of Computational and Communication Science and Engineering, The Nelson Mandela African Institution of Science and Technology, P.O. Box 447, Arusha, Tanzania; Corresponding author.School of Computational and Communication Science and Engineering, The Nelson Mandela African Institution of Science and Technology, P.O. Box 447, Arusha, TanzaniaAfrican Institute for Mathematical Sciences, NEI Globla Secretariat, Rue KG590 ST, Kigali, RwandaSchool of Computational and Communication Science and Engineering, The Nelson Mandela African Institution of Science and Technology, P.O. Box 447, Arusha, TanzaniaSchool of Computational and Communication Science and Engineering, The Nelson Mandela African Institution of Science and Technology, P.O. Box 447, Arusha, TanzaniaArusha Technical College, P.O. Box 296, Arusha, TanzaniaCOVID-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 SEIHRmathematical 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, R0was 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 R0was explored when varying θ. In the absence of θ, the value of R0was 8.4584 which implies the expansion of the disease. When θ is introduced in the model, R0was 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.http://www.sciencedirect.com/science/article/pii/S2211379722002455Proposed C0VID-19 modelPersonal protective equipmentPRCCBasic reproduction numberHospital-acquired infection |
| spellingShingle | Lemjini Masandawa Silas Steven Mirau Isambi Sailon Mbalawata James Nicodemus Paul Katharina Kreppel Oscar M. Msamba Modeling nosocomial infection of COVID-19 transmission dynamics Results in Physics Proposed C0VID-19 model Personal protective equipment PRCC Basic reproduction number Hospital-acquired infection |
| title | Modeling nosocomial infection of COVID-19 transmission dynamics |
| title_full | Modeling nosocomial infection of COVID-19 transmission dynamics |
| title_fullStr | Modeling nosocomial infection of COVID-19 transmission dynamics |
| title_full_unstemmed | Modeling nosocomial infection of COVID-19 transmission dynamics |
| title_short | Modeling nosocomial infection of COVID-19 transmission dynamics |
| title_sort | modeling nosocomial infection of covid 19 transmission dynamics |
| topic | Proposed C0VID-19 model Personal protective equipment PRCC Basic reproduction number Hospital-acquired infection |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722002455 |
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