Effects of Catastrophic Anemia in an Intra-Host Model of Malaria

Eddy Takoutsing, Samuel Bowong, David Yemele, Jurgen Kurths

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, we develop a mathematical model to assess the strength of the effects of catastrophic anemia level on the dynamical transmission of malaria parasite within the body of a
host. We first consider a temporal model. The important mathematical features of the model are thoroughly investigated. We found that the model exhibits forward bifurcation. We also consider a spatiotemporal model using reaction–diffusion equations. The model is numerically analyzed to assess the impact of anemia on the dynamical transmission of malaria parasite within the body of a host. Through numerical simulation, we found that malaria can lead to a catastrophic anemia level even if the parasite is nonpersistent within the body of a host. Numerical results also suggest that to reduce or control the anemia level, the strategy should be to accelerate innate cell reproduction rate or should have the ability to clean parasitized red blood cells (PRBCs) with a high mortality rate.
Original languageEnglish
Article number1450105
Number of pages18
JournalInternational Journal of Bifurcation and Chaos
Volume24
Issue number7
DOIs
Publication statusPublished - 2014

Fingerprint

Malaria
Spatio-temporal Model
Red Blood Cells
Mortality Rate
Reaction-diffusion Equations
Model
Accelerate
Bifurcation
Mathematical Model
Blood
Numerical Simulation
Numerical Results
Cells
Mathematical models
Cell
Computer simulation
Parasites

Keywords

  • intra-host models
  • malaria
  • anemia
  • bifurcation
  • stability

Cite this

Effects of Catastrophic Anemia in an Intra-Host Model of Malaria. / Takoutsing, Eddy; Bowong, Samuel ; Yemele, David; Kurths, Jurgen.

In: International Journal of Bifurcation and Chaos, Vol. 24, No. 7, 1450105, 2014.

Research output: Contribution to journalArticle

Takoutsing, Eddy ; Bowong, Samuel ; Yemele, David ; Kurths, Jurgen. / Effects of Catastrophic Anemia in an Intra-Host Model of Malaria. In: International Journal of Bifurcation and Chaos. 2014 ; Vol. 24, No. 7.
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