Abstract
We consider the periodic threshold contact process with period 2 in one dimension with parameters λ and µ. This process dies out if λ + µ +2 > 4λµ. We obtain a sufficient condition for its survival, which is satisfied by (λ, µ) = (2.17, 2.18), (2.00, 2.37), and (1.50, 3.62), for example. These results were motivated by recent work of Cox and Durrett on the threshold voter model.
Research supported in part by NSF Grant DMS 86–01800.
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Liggett, T.M. (1991). The Periodic Threshold Contact Process. In: Durrett, R., Kesten, H. (eds) Random Walks, Brownian Motion, and Interacting Particle Systems. Progress in Probability, vol 28. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0459-6_19
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DOI: https://doi.org/10.1007/978-1-4612-0459-6_19
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