Mathematical Model for Hepatocytic-Erythrocytic Dynamics of Malaria
Joint Authors
Orwa, Titus Okello
Mbogo, Rachel Waema
Luboobi, Livingstone S.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-02
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Human malaria remains a major killer disease worldwide, with nearly half (3.2 billion) of the world’s population at risk of malaria infection.
The infectious protozoan disease is endemic in tropical and subtropical regions, with an estimated 212 million new cases and 429,000 malaria-related deaths in 2015.
An in-host mathematical model of Plasmodium falciparum malaria that describes the dynamics and interactions of malaria parasites with the host’s liver cells (hepatocytic stage), the red blood cells (erythrocytic stage), and macrophages is reformulated.
By a theoretical analysis, an in-host basic reproduction number R0 is derived.
The disease-free equilibrium is shown to be locally and globally asymptotically stable.
Sensitivity analysis reveals that the erythrocyte invasion rate βr, the average number of merozoites released per bursting infected erythrocyte K, and the proportion of merozoites that cause secondary invasions at the blood phase ζ are the most influential parameters in determining the malaria infection outcomes.
Numerical results show that macrophages have a considerable impact in clearing infected red blood cells through phagocytosis.
Moreover, the density of infected erythrocytes and hence the severity of malaria are shown to increase with increasing density of merozoites in the blood.
Concurrent use of antimalarial drugs and a potential erythrocyte invasion-avoidance vaccine would minimize the density of infected erythrocytes and hence malaria disease severity.
American Psychological Association (APA)
Orwa, Titus Okello& Mbogo, Rachel Waema& Luboobi, Livingstone S.. 2018. Mathematical Model for Hepatocytic-Erythrocytic Dynamics of Malaria. International Journal of Mathematics and Mathematical Sciences،Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1173514
Modern Language Association (MLA)
Orwa, Titus Okello…[et al.]. Mathematical Model for Hepatocytic-Erythrocytic Dynamics of Malaria. International Journal of Mathematics and Mathematical Sciences No. 2018 (2018), pp.1-18.
https://search.emarefa.net/detail/BIM-1173514
American Medical Association (AMA)
Orwa, Titus Okello& Mbogo, Rachel Waema& Luboobi, Livingstone S.. Mathematical Model for Hepatocytic-Erythrocytic Dynamics of Malaria. International Journal of Mathematics and Mathematical Sciences. 2018. Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1173514
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1173514