Using Mathematics to Understand Malaria Infection During Erythrocytic Stages

Chiyaka, Christinah (2010) Using Mathematics to Understand Malaria Infection During Erythrocytic Stages.

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Official URL: http://ir.nust.ac.zw/xmlui/handle/123456789/193

Abstract

We review the basic intra-host model of malaria, without immunity. The model describes the Erythrocytic stage in a malaria infected human, which involves the interaction between malaria parasites and red blood cells. These two populations interact on a dynamic landscape, in which a population of replicating parasites depletes a population of replenishing red blood cells. This paper shows how concepts from nonlinear dynamics can be used to unravel the underlying dynamical features of the model. The intra-host basic reproductive number R0, crucial to calculations concerning control of the infection is calculated. Using mathematical analysis of stability, conditions necessary for reducing and/or clearing parasites in the host are determined. Numerical simulations are also performed to verify analytic results and illustrate possible behaviour of the model.

Item Type: Article
Uncontrolled Keywords: intra-host,malaria,erythrocytic,reproductive number,stability
Divisions: Universities > State Universities > National University of Science and Technology
Depositing User: Mr. Edmore Sibanda
Date Deposited: 01 Dec 2015 02:02
Last Modified: 01 Dec 2015 02:02
URI: http://researchdatabase.ac.zw/id/eprint/1288

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