The Annals of Applied Probability

Asymptotic Critical Value for a Competition Model

Richard Durrett and Rinaldo Schinazi

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Abstract

In this paper we study a model of the competition of annual and perennial plants proposed by Crawley and May. Specifically, we calculate the asymptotic behavior of the critical value for coexistence in the biologically reasonable limit in which annual seeds are dispersed over a large number of sites. Our results are related to earlier work of Durrett and Swindle and prove a conjecture made in that paper.

Article information

Source
Ann. Appl. Probab., Volume 3, Number 4 (1993), 1047-1066.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoap/1177005272

Digital Object Identifier
doi:10.1214/aoap/1177005272

Mathematical Reviews number (MathSciNet)
MR1241034

Zentralblatt MATH identifier
0787.60123

JSTOR
links.jstor.org

Subjects
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Secondary: 60F99: None of the above, but in this section

Keywords
Critical value competition model contact process stationary distribution

Citation

Durrett, Richard; Schinazi, Rinaldo. Asymptotic Critical Value for a Competition Model. Ann. Appl. Probab. 3 (1993), no. 4, 1047--1066. doi:10.1214/aoap/1177005272. https://projecteuclid.org/euclid.aoap/1177005272


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