Skip to main content

SPecial invited paper coexistence in stochastic spatial models

Publication ,  Journal Article
Durrett, R
Published in: Annals of Applied Probability
April 1, 2009

In this paper I will review twenty years of work on the question: When is there coexistence in stochastic spatial models? The answer, announced in Durrett and Levin [Theor. Pop. Biol. 46 (1994) 363-394], and that we explain in this paper is that this can be determined by examining the mean-field ODE. There are a number of rigorous results in support of this picture, but we will state nine challenging and important open problems, most of which date from the 1990's. © Institute of Mathematical Statistics, 2009.

Duke Scholars

Altmetric Attention Stats
Dimensions Citation Stats

Published In

Annals of Applied Probability

DOI

EISSN

1050-5164

ISSN

1050-5164

Publication Date

April 1, 2009

Volume

19

Issue

2

Start / End Page

477 / 496

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 4901 Applied mathematics
  • 0104 Statistics
  • 0102 Applied Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Durrett, R. (2009). SPecial invited paper coexistence in stochastic spatial models. Annals of Applied Probability, 19(2), 477–496. https://doi.org/10.1214/08-AAP590
Durrett, R. “SPecial invited paper coexistence in stochastic spatial models.” Annals of Applied Probability 19, no. 2 (April 1, 2009): 477–96. https://doi.org/10.1214/08-AAP590.
Durrett R. SPecial invited paper coexistence in stochastic spatial models. Annals of Applied Probability. 2009 Apr 1;19(2):477–96.
Durrett, R. “SPecial invited paper coexistence in stochastic spatial models.” Annals of Applied Probability, vol. 19, no. 2, Apr. 2009, pp. 477–96. Scopus, doi:10.1214/08-AAP590.
Durrett R. SPecial invited paper coexistence in stochastic spatial models. Annals of Applied Probability. 2009 Apr 1;19(2):477–496.

Published In

Annals of Applied Probability

DOI

EISSN

1050-5164

ISSN

1050-5164

Publication Date

April 1, 2009

Volume

19

Issue

2

Start / End Page

477 / 496

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 4901 Applied mathematics
  • 0104 Statistics
  • 0102 Applied Mathematics