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On the critical infection rate of the one-dimensional basic contact process: numerical results

Published online by Cambridge University Press:  14 July 2016

Herbert Ziezold  and
Christian Grillenberger
Herbert Ziezold*
Affiliation:
Gesamthochschule Kassel
Christian Grillenberger*
Affiliation:
Gesamthochschule Kassel
*
∗ Postal address: Gesamthochschule Kassel, FB 17 Mathematik, Postf. 101380, 3500 Kassel, W. Germany.
∗ Postal address: Gesamthochschule Kassel, FB 17 Mathematik, Postf. 101380, 3500 Kassel, W. Germany.
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Abstract

Instead of the basic contact process on with infection rate λ we consider for m ≧ 0 the Markov process starting with ξ0(k) = 1 for k ≧ 0 and ξ0(k)= 0 for k < 0 and with changing only those k which are at most m places to the right of the left-most infected cell. For m = 0, 1,· ··, 14 direct computations give critical values which are lower bounds for the critical value of the original basic contact process.

Keywords

COUPLED PROCESSESCRITICAL VALUEINTERACTING PARTICLE SYSTEM

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 25 , Issue 1 , March 1988 , pp. 1 - 8
Copyright
Copyright © Applied Probability Trust 1988 

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