The dynamic behavior of mathematical model of pathogenesis of plasmodium falciparum

LIU Jian, GUO Zhi-ming

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Journal of Guangzhou University(Natural Science Edition) ›› 2018, Vol. 17 ›› Issue (2) : 13-22.

The dynamic behavior of mathematical model of pathogenesis of plasmodium falciparum

  • LIU Jian, GUO Zhi-ming
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Abstract

Malaria has been one of the major diseases that threatens human health. The pathogenesis of plasmodium falciparum is an important subject for theoretic and medical personnel. A new hospital research shows that falciparum can escape the host&apos;s natural immune system. In this article, a mathematical model is established for the above phenomnon, and the stability and threshold of the model are studied. The study indicated that malaria infection cannot be established in the host, and the malaria parasite will die if R0<1. If R0>1, malaria infection can be established in the host. Finally, we make a simulation for the model.

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malaria / stability / threshold / numerical simulation

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LIU Jian, GUO Zhi-ming. The dynamic behavior of mathematical model of pathogenesis of plasmodium falciparum. Journal of Guangzhou University(Natural Science Edition). 2018, 17(2): 13-22

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