Traveling waves in a model of influenza A drift
Traveling waves in a model of influenza A drift
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DOI：
10.1016/s0022-5193(03)00056-0
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发表时间：
2003-06-21
影响因子：
2
通讯作者：
Levin, SA
中科院分区：
文献类型：
--
作者：
Lin, J;Andreasen, V;Levin, SA
在大流行之间，甲型流感病毒通过主要在编码表面蛋白血凝素（HA）和神经氨酸酶（NA）的RNA基因中积累点突变（漂移）来改变其抗原特性。将导致下一次流行的成功菌株（变体）是从具有相对高的传播性和逃避宿主免疫监视的能力的减少数量的后代中选择的。本文分析了一个一维甲型流感病毒漂移模型（Z。Angew. Math.Mech.76（2）（1996）421），其通过包括突变作为变体的表型空间中的扩散过程来推广经典SIR模型。该模型表现出行波解的渐近波速，以及从数值模拟得到的匹配。由于这些波的精确解是不可用的，感染和恢复类的振幅的渐近估计提供了通过指数近似的基础上的扩散常数的小。通过这种近似，我们发现简单的缩放属性的几个参数的相关性疾病的流行病学。(C)2003爱思唯尔科技有限公司版权所有。
Between major pandemics, the influenza A virus changes its antigenic properties by accumulating point mutations (drift) mainly in the RNA genes that code for the surface proteins hemagglutinin (HA) and neuraminidase (NA). The successful strain (variant) that will cause the next epidemic is selected from a reduced number of progenies that possess relatively high transmissibility and the ability to escape from the immune surveillance of the host. In this paper, we analyse a one-dimensional model of influenza A drift (Z. Angew. Math. Mech. 76 (2) (1996) 421) that generalizes the classical SIR model by including mutation as a diffusion process in a phenotype space of variants. The model exhibits traveling wave solutions with an asymptotic wave speed that matches well those obtained from numerical simulations. As exact solutions for these waves are not available, asymptotic estimates for the amplitudes of infected and recovered classes are provided through an exponential approximation based on the smallness of the diffusion constant. Through this approximation, we find simple scaling properties to several parameters of relevance to the epidemiology of the disease. (C) 2003 Elsevier Science Ltd. All rights reserved.