A model of malaria population dynamics with migrants
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Date
2021-08
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematical Biosciences and Engineering
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.
Description
Keywords
vector-borne disease, infected immigrant, imported infection, elimination, global stability
Citation
Witbooi, P., Abiodun, G. and Nsuami, M. (2021). A model of malaria population dynamics with migrants. Mathematical Biosciences and Engineering, 18(6), 7301–7317.