Persistent survival of one-dimensional contact processes in random environments
Charles M. Newman and Sergio B. Volchan
Source: Ann. Probab. Volume 24, Number 1
(1996), 411-421.
Abstract
Consider an inhomogeneous contact process on Z 1 in which the recovery rates $\delta(x)$ at site x are i.i.d. random variables (bounded above) while the infection rate is a constant $\varepsilon$. The condition $u\mathbf{P}(-\log \varepsilon(x) > u) \to = \infty$ as $u \to = \infty$ implies the survival of the process for every $\varepsilon > 0$.
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Permanent link to this document: http://projecteuclid.org/euclid.aop/1042644723
Mathematical Reviews number (MathSciNet): MR1387642
Digital Object Identifier: doi:10.1214/aop/1042644723
Zentralblatt MATH identifier: 0863.60098
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Project Euclid: euclid.aop/1176989801
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