Title:
Malaria Epidemics and the Sickle-Cell Gene Dynamics

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2002-380.pdf (517.91 KB)
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Feng, Zhilan
 Yi, Yingfei
 Zhu, Huaiping
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http://hdl.handle.net/1853/29484
Abstract
A mathematical model incorporating both malaria epidemics and human population genetics of the sickle-cell gene is studied. The dynamics of the model can be separated 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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The first author is partially supported by NSF grant DMS-9974389. The second author is partially supported by NSF grant DMS-9803581. The third author is partially supported by a Canadian NSERC postdoctoral fellowship.
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2002
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