A Stochastic Model for the Evolution of the Influenza Virus

被引：0

作者：

Cox, J. T. ^{[1
]}

Schinazi, R. B. ^{[2
]}

机构：

[1] Syracuse Univ, Syracuse, NY 13244 USA

[2] Univ Colorado, Colorado Springs, CO 80907 USA

来源：

MARKOV PROCESSES AND RELATED FIELDS | 2014年 / 20卷 / 01期

基金：

美国国家科学基金会;

关键词：

phylogenetic tree; influenza; stochastic model; mutation;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Consider a birth and death chain to model the number of types of a given virus. Each type gives birth to a new type at rate lambda and dies at rate 1. Each type is also assigned a fitness. When a death occurs either the least fit type dies (with probability 1 - r) or we kill a type at random (with probability r). We show that this random killing has a large effect (for any r > 0) on the behavior of the model when lambda < 1. The behavior of the model with r > 0 and lambda < 1 is consistent with features of the phylogenetic tree of influenza.

引用

页码：155 / 166

页数：12

共 8 条

[1]

[Anonymous], 1972, BRANCHING PROCESSES

[2] PUNCTUATED EQUILIBRIUM AND CRITICALITY IN A SIMPLE-MODEL OF EVOLUTION [J].