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 $\varepsilon > 0$.
Citation
Charles M. Newman. Sergio B. Volchan. "Persistent survival of one-dimensional contact processes in random environments." Ann. Probab. 24 (1) 411 - 421, January 1996. https://doi.org/10.1214/aop/1042644723
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