Stochasticity, invasions, and branching random walks

被引：39

作者：

Kot, M ^{[1
]}

Medlock, J ^{[1
]}

Reluga, T ^{[1
]}

Walton, DB ^{[1
]}

机构：

[1] Univ Washington, Dept Appl Math, Seattle, WA 98195 USA

来源：

THEORETICAL POPULATION BIOLOGY | 2004年 / 66卷 / 03期

关键词：

branching random walks; integrodifference equations; fat-tailed kernels; dispersal; biological invasions;

D O I：

10.1016/j.tpb.2004.05.005

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

We link deterministic integrodifference equations to stochastic, individual-based simulations by means of branching random walks. Using standard methods, we determine speeds of invasion for both average densities and furthest-forward individuals. For density-independent branching random walks, demographic stochasticity can produce extinction. Demographic stochasticity does not, however, reduce the overall asymptotic speed of invasion or preclude continually accelerating invasions. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：175 / 184

页数：10

共 50 条

[41] Branching random walks on free products of groups
Candellero, Elisabetta
Gilch, Lorenz A.
Mueller, Sebastian
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2012, 104 : 1085 - 1120
[42] Occupation densities of ensembles of branching random walks
Lalley, Steven P.
Tang, Si
ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2020, 25
[43] The number of ends of critical branching random walks
Candellero, Elisabetta
Roberts, Matthew I.
ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2015, 12 (01): : 55 - 67
[44] Field Theory of Branching and Annihilating Random Walks
Cardy, J. L.
Taeuber, U. C.
Journal of Statistical Physics, 90 (1-2):
[45] Anisotropic branching random walks on homogeneous trees
Irene Hueter
Steven P. Lalley
Probability Theory and Related Fields, 2000, 116 : 57 - 88
[46] Simulation of Branching Random Walks on a Multidimensional Lattice
Ermishkina E.M.
Yarovaya E.B.
Journal of Mathematical Sciences, 2021, 254 (4) : 469 - 484
[47] A note on branching random walks on finite sets
Mountford, T
Schinazi, RB
JOURNAL OF APPLIED PROBABILITY, 2005, 42 (01) : 287 - 294
[48] ONE LIMIT THEOREM FOR BRANCHING RANDOM WALKS
Smorodina, N., V
Yarovaya, E. B.
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2024, 68 (04) : 630 - 642
[49] Martingale method for studying branching random walks
Smorodina, N. V.
Yarovaya, E. B.
RUSSIAN MATHEMATICAL SURVEYS, 2022, 77 (05) : 955 - 957
[50] On the maximal displacement of subcritical branching random walks
Eyal Neuman
Xinghua Zheng
Probability Theory and Related Fields, 2017, 167 : 1137 - 1164

← 1 2 3 4 5 →