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    Travelling Wave Analysis of a Diffusive COVID-19 Model

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    Travelling Wave Analysis of a Diffusive COVID-19 Model.pdf (2.296Mb)
    Date
    2022-10-07
    Author
    C., M. Wachira
    G., O. Lawi
    L., O. Omondi
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    Abstract
    In this paper, a mathematical model based on a system of nonlinear parabolic partial differential equations is developed to investigate the effect of human mobility on the dynamics of coronavirus 2019 (COVID-19) disease. Positivity and boundedness of the model solutions are shown. The existence of the disease-free, the endemic equilibria, and the travelling wave solutions of the model are shown. From the numerical analysis, it is shown that human mobility plays a crucial role in the disease transmission. Therefore, interventions that affect diffusion (human mobility), such as lock-down, travel restrictions, and cessation of movement, may play a significant role in controlling and preventing the spread of COVID-19.
    URI
    https://www.hindawi.com/journals/jam/2022/6052274/
    https://doi.org/10.1155/2022/6052274
    http://ir-library.mmust.ac.ke:8080/xmlui/handle/123456789/2111
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