Feng, ZhilanYi, YingfeiZhu, Huaiping2007-02-122007-02-122004Zhilan 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--896.1040-7294http://hdl.handle.net/10315/909https://doi.org/10.1007/s10884-004-7828-6A 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.578399 bytesapplication/pdfen© Springer Science+Business Media, Inc. 2004.Article