Journal article

### Branching Brownian motion with decay of mass and the nonlocal Fisher-KPP equation

Abstract:

In this work we study a non-local version of the Fisher-KPP equation, (∂u ∂t = 1 2∆u + u(1 − φ ∗ u), t > 0, x ∈ R, u(0, x) = u0(x), x ∈ R and its relation to a branching Brownian motion with decay of mass as introduced in [1], i.e. a particle system consisting of a standard branching Brownian motion (BBM) with a competitive interaction between nearby particles. Particles in the BBM with decay of mass have a position in R and a mass, branch at rate 1 into two daughter particles of the same ...

Publication status:
Published
Peer review status:
Peer reviewed

### Access Document

Files:
• (Accepted manuscript, pdf, 639.3KB)
Publisher copy:
10.1002/cpa.21827

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Statistics
Oxford college:
Magdalen College
Role:
Author
More by this author
Institution:
University of Oxford
Department:
Mathematical Institute
Role:
Author
Publisher:
John Wiley & Sons Publisher's website
Journal:
Communications on Pure and Applied Mathematics Journal website
Volume:
72
Issue:
12
Pages:
2487-2577
Publication date:
2019-04-19
Acceptance date:
2018-07-14
DOI:
EISSN:
1097-0312
ISSN:
0010-3640
Source identifiers:
884431
Language:
English
Pubs id:
pubs:884431
UUID:
uuid:4f7f5d21-d5be-4792-ac45-b118e5f2f3d0
Local pid:
pubs:884431
Deposit date:
2018-07-19