MULTITYPE BRANCHING BROWNIAN MOTION AND TRAVELING WAVES

被引：1
|
作者：
Ren, Yan-Xia [1 ]
Yang, Ting [2 ]
机构：
[1] Peking Univ, Beijing 100871, Peoples R China
[2] Chinese Acad Sci, Beijing 100864, Peoples R China
来源：
ADVANCES IN APPLIED PROBABILITY | 2014年 / 46卷 / 01期
基金：
中国博士后科学基金;
关键词：
Multitype branching Brownian motion; spine approach; additive martingale; traveling wave solution; EQUATION;
D O I：
10.1239/aap/1396360111
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：
In this article we study the parabolic system of equations which is closely related to a multitype branching Brownian motion. Particular attention is paid to the monotone traveling wave solutions of this system. Provided with some moment conditions, we show the existence, uniqueness, and asymptotic behaviors of such waves with speed greater than or equal to a critical value c and nonexistence of such waves with speed smaller than c.
引用
收藏
页码：217 / 240
页数：24
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