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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
An age-structured mathematical model for the within host dynamics of malaria and the immune system
Journal of Mathematical Modelling and Algorithms, Volume 7, No. 1, Year 2008
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Description
In the paper, we use a mathematical model to study the population dyna mics of replicating malaria parasites and their interaction with the immune cells within a human host. The model is formulated as a system of age-structured partial differential equations that are then integrated over age to obtain a system of nonlinear delay differential equations. Our model incorporates an intracellular time delay between the infection of the red blood cells by the merozoites that grow and replicate within the infected cells to produce new merozoites. The infected red blood cells burst approximately every 48 h releasing daughter parasites to renew the cycle. The dynamical processes of the parasites within the human host are subjected to pressures exerted by the human immunological responses. The system is then solved using a first-order, finite difference method to give a discrete system. Numerical simulations carried out to illustrate stability of the system reveal that the populations undergo damped oscillations that stabilise to steady states. © 2007 Springer Science+Business Media B.V.
Authors & Co-Authors
Tumwiine, Julius
Uganda, Mbarara
Mbarara University of Science and Technology
Luckhaus, Stephan
Germany, Leipzig
Max Planck Institute for Mathematics in the Sciences
Mugisha, Joseph Y.T.
Uganda, Kampala
Makerere University
Luboobi, Livingstone Serwadda
Uganda, Kampala
Makerere University
Statistics
Citations: 25
Authors: 4
Affiliations: 3
Identifiers
Doi:
10.1007/s10852-007-9075-4
ISSN:
15701166
e-ISSN:
15729214
Research Areas
Infectious Diseases
Study Design
Cross Sectional Study