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New results for the two-stage contact process. (English) Zbl 1322.60212

Summary: In this paper, we continue the work started by Steve Krone on the two-stage contact process. We give a simplified proof of the duality relation and answer most of the open questions posed in [S. M. Krone, Ann. Appl. Probab. 9, No. 2, 331–351 (1999; Zbl 0938.60101)]. We also fill in the details of an incomplete proof.

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
60J25 Continuous-time Markov processes on general state spaces
82C22 Interacting particle systems in time-dependent statistical mechanics
92B99 Mathematical biology in general

Citations:

Zbl 0938.60101