Fast and slow dynamics of malaria and the \(S\)-gene frequency
type: Item
instance of: scholarly article
title: Fast and slow dynamics of malaria and the \(S\)-gene frequency
zbMATH Open document ID: 1082.34038
author: Zhilan Feng
author: Yingfei Yi
author: Huanping Zhu
published in: Journal of Dynamics and Differential Equations
publication date: 2005-02-18T00:00:00Z
review text: The paper is devoted to the study of a model describing both malaria epidemics and human population genetics of the sickle cell. The authors rewrite the system in a singularly perturbed form, and use the singular perturbation techniques to separate the dynamics of the system. The slow manifold is constructed and the dynamics of the system on the slow manifold is investigated. The analysis of the model provides insights how malaria epidemics may have an impact on the maintenance of the sickle cell gene in a population, where malaria is prevalent.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 2134825
zbMATH Keywords: singular perturbation
zbMATH Keywords: slow manifold
zbMATH Keywords: slow and fast dynamics
describes a project that uses: XPPAUT
MaRDI profile type: Publication
full work available at URL: s10884-004-7828-6
OpenAlex ID: W2159548135
cites work: Disease-induced natural selection in a diploid host
cites work: The effect of epidemics on genetic evolution
cites work: Center manifolds for invariant sets
cites work: Geometric singular perturbation theory for ordinary differential equations
cites work: On the persistence of spatially homogeneous solutions of a population genetics model with slow selection
cites work: Epidemiology and genetics in the coevolution of parasites and hosts
DOI: 10.1007/S10884-004-7828-6
description: scientific article; zbMATH DE number 2134825