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  1. TI=Mathematical modelling on COVID 19 transmission impacts with preventive measures: a case study of Tanzania
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  1. Article ; Online: Mathematical modelling on COVID-19 transmission impacts with preventive measures: a case study of Tanzania.

    Mumbu, Abdul-Rahman J / Hugo, Alfred K

    Journal of biological dynamics

    2020  Volume 14, Issue 1, Page(s) 748–766

    Abstract: ... before it rapidly spread over globally. This paper has proposed a mathematical model for studying its transmission ... The outbreak of COVID-19 was first experienced in Wuhan City, China, during December 2019 ... dynamics in the presence of face mask wearing and hospitalization services of human population in Tanzania ...

    Abstract The outbreak 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 transmission 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,
    MeSH term(s) Basic Reproduction Number ; Betacoronavirus ; COVID-19 ; Computer Simulation ; Coronavirus Infections/epidemiology ; Coronavirus Infections/prevention & control ; Coronavirus Infections/transmission ; Disease Susceptibility ; Endemic Diseases/prevention & control ; Endemic Diseases/statistics & numerical data ; Humans ; Masks/statistics & numerical data ; Mathematical Concepts ; Models, Biological ; Pandemics/prevention & control ; Pneumonia, Viral/epidemiology ; Pneumonia, Viral/prevention & control ; Pneumonia, Viral/transmission ; SARS-CoV-2 ; Tanzania/epidemiology
    Keywords covid19
    Language English
    Publishing date 2020-09-29
    Publishing country England
    Document type Journal Article
    ISSN 1751-3766
    ISSN (online) 1751-3766
    DOI 10.1080/17513758.2020.1823494
    Database MEDical Literature Analysis and Retrieval System OnLINE

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

    Mumbu, Abdul-Rahman J / Hugo, Alfred K

    J Biol Dyn

    Abstract: ... hospitalization as preventive measure for its transmission, R 0 = 0.698 while in their absence R 0 = 3.8 ... before it rapidly spread over globally. This paper has proposed a mathematical model for studying its transmission ... The outbreak of COVID-19 was first experienced in Wuhan City, China, during December 2019 ...

    Abstract The outbreak 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 transmission 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, R 0 , 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 its transmission, R 0 = 0.698 while in their absence R 0 = 3.8 . This supports its analytical solution that the disease-free equilibrium point E 0 is asymptotically stable whenever R 0 < 1 , while endemic equilibrium point E ∗ is globally asymptotically stable for R 0 > 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.
    Keywords covid19
    Publisher WHO
    Document type Article
    Note WHO #Covidence: #842271
    Database COVID19

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  3. Article ; Online: Mathematical modelling on COVID-19 transmission impacts with preventive measures

    Mumbu, Abdul-rahman J. / Hugo, Alfred K.

    Journal of Biological Dynamics

    a case study of Tanzania

    2020  Volume 14, Issue 1, Page(s) 748–766

    Keywords Ecology ; Ecology, Evolution, Behavior and Systematics ; covid19
    Language English
    Publisher Informa UK Limited
    Publishing country uk
    Document type Article ; Online
    ISSN 1751-3758
    DOI 10.1080/17513758.2020.1823494
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  4. Article ; Online: Mathematical modelling on COVID-19 transmission impacts with preventive measures

    Abdul-rahman J. Mumbu / Alfred K. Hugo

    Journal of Biological Dynamics, Vol 14, Iss 1, Pp 748-

    a case study of Tanzania

    2020  Volume 766

    Abstract: ... hospitalization as preventive measure for its transmission, $R_0=0.698 $ while in their absence $R_0=3.8 ... before it rapidly spread over globally. This paper has proposed a mathematical model for studying its transmission ... The outbreak of COVID-19 was first experienced in Wuhan City, China, during December 2019 ...

    Abstract The outbreak 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 transmission 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, $R_0 $, 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 its transmission, $R_0=0.698 $ while in their absence $R_0=3.8 $. This supports its analytical solution that the disease-free equilibrium point $E_0 $ is asymptotically stable whenever $R_0 \lt 1 $, while endemic equilibrium point $E_* $ is globally asymptotically stable for $R_0 \gt 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.
    Keywords covid-19 ; basic reproduction number ; equilibrium points and stability ; Environmental sciences ; GE1-350 ; Biology (General) ; QH301-705.5 ; covid19
    Subject code 629
    Language English
    Publishing date 2020-01-01T00:00:00Z
    Publisher Taylor & Francis Group
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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