PREDATOR-PREY AND HOST-PARASITE SPATIAL STOCHASTIC MODELS
成果类型：
Article
署名作者：
Schinazi, Rinaldo B.
署名单位：
University of Colorado System; University of Colorado at Colorado Springs
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
发表日期：
1997
页码：
1-9
关键词：
摘要：
We consider two interacting particle systems on Z(d) to model predator- prey and host-parasite interactions. In both models we have two types of particles (1 and 2) and each site in Z(d) can be in one of four states: empty, occupied by a type 1 particle, occupied by a type 2 particle or occupied by two particles (one of each type). Each type gives birth to particles of the same type on nearest neighbor sites. The interaction between the two types of particles occurs only when a site is occupied by one particle of each type. For both models we show that coexistence and noncoexistence are possible in any dimension.