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    A model of malaria population dynamics with migrants

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    A model of malaria population dynamics with migrants.pdf (816.3Kb)
    Date
    2021-08
    Author
    Witbooi, Peter
    Abiodun, Gbenga
    Nsuami, Mozart
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    Abstract
    We present a compartmental model in ordinary differential equations of malaria disease transmission, accommodating the effect of indoor residual spraying on the vector population. The model allows for influx of infected migrants into the host population and for outflow of recovered migrants. The system is shown to have positive solutions. In the special case of no infected immigrants, we prove global stability of the disease-free equilibrium. Existence of a unique endemic equilibrium point is also established for the case of positive influx of infected migrants. As a case study we consider the combined South African malaria region. Using data covering 31 years, we quantify the effect of malaria infected immigrants on the South African malaria region.
    URI
    http://dx.doi.org/10.3934/mbe.2021361
    http://hdl.handle.net/10566/6802
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    • Research Articles (Mathematics)

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