A reaction-diffusion system modeling the spread of resistance to an antimalarial drug

Nicolas Bacaër; Cheikh Sokhna

doi:10.3934/mbe.2005.2.227

Article Contents

2005, Volume 2, Issue 2: 227-238. Doi: 10.3934/mbe.2005.2.227

This issue Previous Article Partial Differential Equations-Based Segmentation for Radiotherapy Treatment Planning Next Article Spatially Distributed Morphogen Production and Morphogen Gradient Formation

A reaction-diffusion system modeling the spread of resistance to an antimalarial drug

Nicolas Bacaër^1, and
Cheikh Sokhna^2,

1.
Institut de Recherche pour le Développement (I.R.D.), 32 avenue Henri Varagnat, 93143 Bondy cedex
2.
Laboratoire de Paludologie, Institut de Recherche pour le Développement, B.P. 1386, Dakar

Received: June 30, 2004

Revised: January 31, 2005

Published: February 2005

Abstract Related Papers Cited by

Abstract

A mathematical model representing the diffusion of resistance to an antimalarial drug is developed. Resistance can spread only when the basic reproduction number of the resistant parasites is bigger than the basic reproduction number of the sensitive parasites (which depends on the fraction of infected people treated with the antimalarial drug). Based on a linearization study and on numerical simulations, an expression for the speed at which resistance spreads is conjectured. It depends on the ratio of the two basic reproduction numbers, on a coefficient representing the diffusion of mosquitoes, on the death rate of mosquitoes infected by resistant parasites, and on the recovery rate of nonimmune humans infected by resistant parasites.

Keywords:

Mathematics Subject Classification: 92D30, 35K57.

Citation:

Article Metrics

HTML views() PDF downloads(85) Cited by(0)

A reaction-diffusion system modeling the spread of resistance to an antimalarial drug

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

A reaction-diffusion system modeling the spread of resistance to an antimalarial drug

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content