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.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 epidemics may have an impact on the maintenance of the sickle-cell gene in a population where malaria is prevalent. | |
| dc.format.extent | 578399 bytes | |
| dc.format.mimetype | application/pdf | |
| 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. | |
| dc.identifier.issn | 1040-7294 | |
| dc.identifier.uri | http://hdl.handle.net/10315/909 | |
| dc.identifier.uri | https://doi.org/10.1007/s10884-004-7828-6 | |
| dc.language.iso | en | |
| dc.publisher | Journal of Dynamics and Differential Equations (Springer) | |
| dc.rights | © Springer Science+Business Media, Inc. 2004. | |
| dc.title | Fast and slow dynamics of malaria and the S-gene frequency. | |
| dc.type | Article |