具有竞争排除原则的新疟疾宿主内模型的全球分析
Global Analysis of New Malaria Intrahost Models with a Competitive Exclusion Principle
摘要：
在本文中，我们提出了一个疟疾的宿主内模型，k个年龄级的寄生红细胞和n株的寄生虫。我们对这个模型进行了全面的分析。竞争排斥原理成立。如果基本再生数R 0满足R 0 </-1，则无病平衡点是全局渐近稳定的。相反，如果R 0> 1，则一般存在唯一的地方病平衡，其对应于最毒力寄生虫菌株的地方病稳定和所有其它寄生虫菌株的灭绝。证明了当一个较弱的充分条件满足时，该平衡点在正正交点上是全局渐近稳定的。
英文摘要：
In this paper we propose a malaria within-host model with k classes of age for the parasitized red blood cells and n strains for the parasite. We provide a global analysis for this model. A competitive exclusion principle holds. If R0, the basic reproduction number, satisfies R0 </- 1, then the disease-free equilibrium is globally asymptotically stable. On the contrary if R0 > 1, then generically there is a unique endemic equilibrium which corresponds to the endemic stabilization of the most virulent parasite strain and to the extinction of all the other parasites strains. We prove that this equilibrium is globally asymptotically stable on the positive orthant if a mild sufficient condition is satisfied.
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