An age-structured mathematical model for the within host dynamics of malaria and the immune system

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dc.contributor.authorLuboobi, L. S.
dc.contributor.authorTumwiine, J.
dc.contributor.authorLuckhaus, S.
dc.contributor.authorMugisha, J. Y. T.
dc.date.accessioned2022-03-10T11:52:14Z
dc.date.available2022-03-10T11:52:14Z
dc.date.issued2007
dc.description.abstractIn the paper, we use a mathematical model to study the population dynamics 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.en_US
dc.identifier.citationTumwiine, J., Luckhaus, S., Mugisha, J. Y. T., & Luboobi, L. S. (2008). An age-structured mathematical model for the within host dynamics of malaria and the immune system. Journal of Mathematical Modelling and Algorithms, 7, 79-97.doi:10.1007/s10852-007-9075-4en_US
dc.identifier.other10.1007/s10852-007-9075-4
dc.identifier.urihttps://nru.uncst.go.ug/xmlui/handle/123456789/2632
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.subjectAge-structureden_US
dc.subjectImmune systemen_US
dc.subjectParasite replicationen_US
dc.subjectTime delayen_US
dc.titleAn age-structured mathematical model for the within host dynamics of malaria and the immune systemen_US
dc.typeArticleen_US
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