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

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dc.contributor.authorMumbu, Abdul-rahman J.
dc.contributor.authorHugo, Alfred K.
dc.date.accessioned2021-05-06T06:12:20Z
dc.date.available2021-05-06T06:12:20Z
dc.date.issued2020
dc.descriptionFull text articles. Also available at https://doi.org/10.1080/17513758.2020.1823494en_US
dc.description.abstractThe 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.en_US
dc.identifier.citationMumbu, 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.en_US
dc.identifier.otherhttp://doi.org/10.1080/17513758.2020.1823494
dc.identifier.urihttp://hdl.handle.net/20.500.12661/2954
dc.language.isoenen_US
dc.publisherTaylor & Francisen_US
dc.subjectCOVID-19en_US
dc.subjectMasken_US
dc.subjectFace masken_US
dc.subjectBasic reproduction numberen_US
dc.subjectDiseasesen_US
dc.subjectTanzaniaen_US
dc.subjectCorona Virus Disease 2019en_US
dc.subjectEndemic equilibriaen_US
dc.titleMathematical modelling on COVID-19 transmission impacts with preventive measures: a case study of Tanzaniaen_US
dc.typeArticleen_US
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