A new coexistence result for competing contact processes
Chan, Benjamin ; Durrett, Richard
Ann. Appl. Probab., Tome 16 (2006) no. 1, p. 1155-1165 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Neuhauser [Probab. Theory Related Fields 91 (1992) 467–506] considered the two-type contact process and showed that on ℤ2 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.”
Publié le : 2006-08-14
Classification:  Coexistence,  competition model,  block construction,  interacting particle system,  60K35 
@article{1159804978,
     author = {Chan, Benjamin and Durrett, Richard},
     title = {A new coexistence result for competing contact processes},
     journal = {Ann. Appl. Probab.},
     volume = {16},
     number = {1},
     year = {2006},
     pages = { 1155-1165},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1159804978}
}

Chan, Benjamin; Durrett, Richard. A new coexistence result for competing contact processes. Ann. Appl. Probab., Tome 16 (2006) no. 1, pp.  1155-1165. http://gdmltest.u-ga.fr/item/1159804978/