Multitype branching brownian motion and traveling waves

Yan Xia Ren; Ting Yang

doi:10.1239/aap/1396360111

Multitype branching brownian motion and traveling waves

Yan Xia Ren, Ting Yang

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	217-240
Number of pages	24
Journal	Advances in Applied Probability
Volume	46
Issue number	1
DOIs	https://doi.org/10.1239/aap/1396360111
Publication status	Published - Mar 2014
Externally published	Yes

Keywords

Additive martingale
Multitype branching Brownian motion
Spine approach
Traveling wave solution

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10.1239/aap/1396360111

Cite this

Ren, Y. X., & Yang, T. (2014). Multitype branching brownian motion and traveling waves. Advances in Applied Probability, 46(1), 217-240. https://doi.org/10.1239/aap/1396360111

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AB - 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.

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KW - Spine approach

KW - Traveling wave solution

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Multitype branching brownian motion and traveling waves

Abstract

Keywords

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