A new coexistence result for competing contact processes

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.

Duke Scholars

Author Richard Timothy Durrett Mathematics