Mathematical modelling of drug resistant malaria parasites and vector populations

✍ Scribed by S. J. Aneke

• Publisher: John Wiley and Sons
• Year: 2002
• Tongue: English
• Weight: 98 KB
• Volume: 25
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.291

✦ Synopsis

Abstract

In this paper, we describe the phenomenon of drug resistant malaria infection in a hyperendemic region by a system of ordinary differential equations models. Different situations on both vectors and humans are described. The first presentations deal with single population each for both humans and vectors (with the human population fixed). These models are without resistant strains. The second group of models deal with both resistant and sensitive strains. Our focus in analysing the models is on establishing a unique positive asymptotic equilibrium for each of them. It is shown that (under suitable conditions in most cases) the equilibrium points are (locally) asymptotically stable. The biological significance of each of these points emerges as a by‐product. Copyright © 2002 John Wiley & Sons, Ltd.