The within-host dynamics of malaria infection with immune response

Yilong Li, Shigui Ruan, Dongmei Xiao

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

Malaria infection is one of the most serious global health problems of our time. In this article the blood-stage dynamics of malaria in an infected host are studied by incorporating red blood cells, malaria parasitemia and immune effectors into a mathematical model with nonlinear bounded Michaelis-Menten- Monod functions describing how immune cells interact with infected red blood cells and merozoites. By a theoretical analysis of this model, we show that there exists a threshold value R 0, namely the basic reproduction number, for the malaria infection. The malaria-free equilibrium is global asymptotically stable if R 0 < 1. If R 0 > 1, there exist two kinds of infection equilibria: malaria infection equilibrium (without specific immune response) and positive equilibrium (with specific immune response). Conditions on the existence and stability of both infection equilibria are given. Moreover, it has been showed that the model can undergo Hopf bifurcation at the positive equilibrium and exhibit periodic oscillations. Numerical simulations are also provided to demonstrate these theoretical results.

Original languageEnglish (US)
Pages (from-to)999-1018
Number of pages20
JournalMathematical Biosciences and Engineering
Volume8
Issue number4
DOIs
StatePublished - Oct 2011

Fingerprint

Malaria
Immune Response
malaria
Infection
Blood
immune response
Cells
infection
Describing functions
Red Blood Cells
Hopf bifurcation
Medical problems
Theoretical Models
erythrocytes
Basic Reproduction Number
Erythrocytes
Mathematical models
Merozoites
Describing Function
merozoites

Keywords

  • Malaria infection
  • Mathematical model
  • Periodic oscillations
  • Threshold
  • Within-host dynamics

ASJC Scopus subject areas

  • Applied Mathematics
  • Modeling and Simulation
  • Computational Mathematics
  • Agricultural and Biological Sciences(all)
  • Medicine(all)

Cite this

The within-host dynamics of malaria infection with immune response. / Li, Yilong; Ruan, Shigui; Xiao, Dongmei.

In: Mathematical Biosciences and Engineering, Vol. 8, No. 4, 10.2011, p. 999-1018.

Research output: Contribution to journalArticle

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