文章基本信息

标题：Immune response to a malaria infection: properties of a mathematical model
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作者：Patrick De Leenheer ; Sergei S. Pilyugin
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2008
卷号：2
期号：2
页码：102-120
DOI：10.1080/17513750701769865
出版社：Taylor & Francis
摘要：We establish some properties of a within host mathematical model of malaria proposed by Recker et al . [M. Recker et al., Transient cross-reactive immune responses can orchestrate antigenic variation in malaria , Lett. Nature 429 (2004), pp. 555–558; M. Recker and S. Gupta, Conflicting immune responses can prolong the length of infection in Plasmodium falciparum malaria , Bull. Math. Biol. 68 (2006), pp. 821–835.], which includes the role of the immune system during the infection. The model accounts for the antigenic variation exhibited by the malaria parasite ( Plasmodium falciparum ). We show that the model can exhibit a wide variety of dynamical behaviours. 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.
关键词：immunology ; epidemiology