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arXiv · 0707.4497

Immune response to a malaria infection: properties of a mathematical model

Patrick De Leenheer·Sergei S. Pilyugin
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Abstract

We establish some properties of a within host mathematical model of malaria proposed by Recker et al which includes the role of the immune system during the infection. The model accounts for the antigenic variation exhibited by the malaria parasite (P. falciparum). We show that the model can exhibit a wide variety of dynamical behaviors. We provide criteria for global stability, competitive exclusion, and persistence. We also demonstrate that the disease equilibrium can be destabilized by non-symmetric cross-reactive responses.

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Patrick De Leenheer, Sergei S. Pilyugin. 2007-07-30. Immune response to a malaria infection: properties of a mathematical model. https://arxiv.org/abs/0707.4497

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