Fast and slow dynamics of malaria and the S-gene frequency.

dc.contributor.authorFeng, Zhilan
dc.contributor.authorYi, Yingfei
dc.contributor.authorZhu, Huaiping
dc.date.accessioned2007-02-12T21:33:21Z
dc.date.available2007-02-12T21:33:21Z
dc.date.issued2004
dc.description.abstractA 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.
dc.format.extent578399 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationZhilan Feng, Yingfei Yi and Huaiping Zhu, Fast and slow dynamics of malaria and the S-gene frequency. J. Dynam. Differential Equations 16 (2004), no. 4, 869--896.
dc.identifier.issn1040-7294
dc.identifier.urihttp://hdl.handle.net/10315/909
dc.identifier.urihttps://doi.org/10.1007/s10884-004-7828-6
dc.language.isoen
dc.publisherJournal of Dynamics and Differential Equations (Springer)
dc.rights© Springer Science+Business Media, Inc. 2004.
dc.titleFast and slow dynamics of malaria and the S-gene frequency.
dc.typeArticle

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