Next Article in Journal
Sensitivity Analysis of Mathematical Model to Study the Effect of T Cells Infusion in Treatment of CLL
Previous Article in Journal
Sub-Mesoscale Frontal Instabilities in the Omani Coastal Current
Open AccessArticle

Global Analysis of a Reaction-Diffusion Within-Host Malaria Infection Model with Adaptive Immune Response

Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(4), 563; https://doi.org/10.3390/math8040563
Received: 9 February 2020 / Revised: 27 March 2020 / Accepted: 3 April 2020 / Published: 11 April 2020
Malaria is one of the most dangerous global diseases. This paper studies a reaction-diffusion model for the within-host dynamics of malaria infection with both antibody and cell-mediated immune responses. The model explores the interactions between uninfected red blood cells (erythrocytes), three types of infected red blood cells, free merozoites, CTLs and antibodies. It contains some parameters to measure the effect of antimalarial drugs and isoleucine starvation on the blood cycle of malaria infection. The basic properties of the model are discussed. All possible equilibrium points and the threshold conditions required for their existence are addressed. The global stability of all equilibria are proved by selecting suitable Lyapunov functionals and using LaSalle’s invariance principle. The characteristic equations are used to study the local instability conditions of the equilibria. Some numerical simulations are conducted to support the theoretical results. The results indicate that antimalarial drugs with high efficacy can clear the infection and take the system towards the disease-free state. Increasing the efficacy of isoleucine starvation has a similar effect as antimalarial drugs and can eliminate the disease. The presence of immune responses with low efficacy of treatments does not provide a complete protection against the disease. However, the immune responses reduce the concentrations of all types of infected cells and limit the production of malaria parasites. View Full-Text
Keywords: plasmodium falciparum; blood stage; diffusion; isoleucine starvation; antimalarial drugs; antibody immunity plasmodium falciparum; blood stage; diffusion; isoleucine starvation; antimalarial drugs; antibody immunity
Show Figures

Figure 1

MDPI and ACS Style

Elaiw, A.; Al Agha, A. Global Analysis of a Reaction-Diffusion Within-Host Malaria Infection Model with Adaptive Immune Response. Mathematics 2020, 8, 563.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop