Mathematical modelling on COVID-19 transmission impacts with preventive measures: a case study of Tanzania

Simple item page
dc.creatorMumbu, Abdul-rahman J.
dc.creatorHugo, Alfred K.
dc.date2021-05-06T06:12:20Z
dc.date2021-05-06T06:12:20Z
dc.date2020
dc.date.accessioned2022-10-20T13:25:33Z
dc.date.available2022-10-20T13:25:33Z
dc.descriptionFull text articles. Also available at https://doi.org/10.1080/17513758.2020.1823494
dc.descriptionThe out break of COVID-19 was first experienced in Wuhan City, China, during December 2019 before it rapidly spread over globally. This paper has proposed a mathematical model for studying its trans-mission dynamics in the presence of face mask wearing and hospitalization services of human population in Tanzania. Disease-free and endemic equilibria were determined and subsequently their local and global stabilities were carried out. The trace-determinant approach was used in the local stability of disease-free equilibrium point while Lyapunov function technique was used to determine the global stability of both disease-free and endemic equilibrium points. Basic reproduction number,R0, was determined in which its numerical results revealed that, in the presence of face masks wearing and medication services or hospitalization as preventive measure for itstransmission,R0=0.698 while in their absenceR0=3.8. This supports its analytical solution that the disease-free equilibrium pointE0is asymptotically stable wheneverR0<1, while endemic equilibrium point E∗ is globally asymptotically stable forR0>1. Therefore, this paper proves the necessity of face masks wearing and hospitalization services to COVID-19 patients to contain the disease spread to the population.
dc.identifierMumbu, A. R. J., & Hugo, A. K. (2020). Mathematical modelling on COVID-19 transmission impacts with preventive measures: A case study of Tanzania. Journal of Biological Dynamics, 14(1), 748-766.
dc.identifierhttp://doi.org/10.1080/17513758.2020.1823494
dc.identifierhttp://hdl.handle.net/20.500.12661/2954
dc.identifier.urihttp://hdl.handle.net/20.500.12661/2954
dc.languageen
dc.publisherTaylor & Francis
dc.subjectCOVID-19
dc.subjectMask
dc.subjectFace mask
dc.subjectBasic reproduction number
dc.subjectDiseases
dc.subjectTanzania
dc.subjectCorona Virus Disease 2019
dc.subjectEndemic equilibria
dc.titleMathematical modelling on COVID-19 transmission impacts with preventive measures: a case study of Tanzania
dc.typeArticle

Files

Collections

Research Articles