Abstract
A mathematical model incorporating both malaria epidemics and human population genetics of the sickle-cell gene is studied. Singular perturbation techniques are used to separate the dynamics of the model into two time-scales with a faster time-scale for the epidemics and a slower time-scale for the change in gene frequencies. A complete analysis of the dynamics on the slow manifold is conducted, which provides insights into how malaria epidemics may have an impact on the maintenance of the sickle-cell gene in a population where malaria is prevalent.
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Dedicated to Professor Shui-Nee Chow on the occasion of his 60th birthday.
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Feng, Z., Yi, Y. & Zhu, H. Fast and Slow Dynamics of Malaria and the S-gene Frequency. J Dyn Diff Equat 16, 869–896 (2004). https://doi.org/10.1007/s10884-004-7828-6
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DOI: https://doi.org/10.1007/s10884-004-7828-6