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

Eddy Takoutsing, Samuel Bowong, David Yemele, Jurgen Kurths

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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

Keywords

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

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