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

dc.contributor.author	Feng, Zhilan
dc.contributor.author	Yi, Yingfei
dc.contributor.author	Zhu, Huaiping
dc.date.accessioned	2007-02-12T21:33:21Z
dc.date.available	2007-02-12T21:33:21Z
dc.date.issued	2004
dc.identifier.citation	Zhilan 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.	en
dc.identifier.issn	1040-7294
dc.identifier.uri	http://hdl.handle.net/10315/909
dc.description.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 epi- demics may have an impact on the maintenance of the sickle-cell gene in a population where malaria is prevalent.	en
dc.format.extent	578399 bytes
dc.format.mimetype	application/pdf
dc.language.iso	en	en
dc.publisher	Springer Science + Business Media
dc.title	Fast and slow dynamics of malaria and the S-gene frequency.	en
dc.type	Article	en