Publications [#243549] of Richard T. Durrett

Papers Published

1. Chan, B; Durrett, R, A new coexistence result for competing contact processes, Annals of Applied Probability, vol. 16 no. 3 (August, 2006), pp. 1155-1165, Institute of Mathematical Statistics, ISSN 1050-5164 [MR2260060 (2008h:60400)], [doi]
   (last updated on 2024/04/24)

   Abstract:
   Neuhauser [Probab. Theory Related Fields 91 (1992) 467-506] considered the two-type contact process and showed that on ℤ 2 coexistence is not possible if the death rates are equal and the particles use the same dispersal neighborhood. Here, we show that it is possible for a species with a long-,but finite, range dispersal kernel to coexist with a superior competitor with nearest-neighbor dispersal in a model that includes deaths of blocks due to "forest fires." © Institute of Mathematical Statistics, 2006.