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Estimating the critical values of stochastic growth models

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

L. Buttell ,
J. T. Cox  and
R. Durrett
L. Buttell*
Affiliation:
Cornell University
J. T. Cox*
Affiliation:
Syracuse University
R. Durrett*
Affiliation:
Cornell University
*
∗ Postal address: Department of Ecology and Systematics, Cornell University, Ithaca, NY 14853, USA.
∗∗Postal address: Department of Mathematics, Syracuse University, Syracuse, NY 13244, U.S.A.
∗∗∗ Postal address: Department of Mathematics, Cornell University, Ithaca, NY 14853–7901, USA.
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Abstract

Interacting particle systems provide an attractive framework for modelling the growth and spread of biological populations and diseases. One problem with their use in applications is that in most cases the existing information about their critical values and equilibrium densities is too crude to be useful. In this paper we describe a method for estimating these quantities that does not require very much computer time and produces fairly accurate results.

Keywords

CONTACT PROCESSCRITICAL VALUES

MSC classification

Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory
Type
Short Communications
Information
Journal of Applied Probability , Volume 30 , Issue 2 , June 1993 , pp. 455 - 461
Copyright
Copyright © Applied Probability Trust 1993 

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