We study dioecious (i.e. two-sex) branching particle system models, where there are two types of particles, modeling the male and female populations, and birth of new particles requires the presence of both male and female particles. We show that stationary distributions of various dioecious branching particle models are nontrivial under certain conditions, e.g. when there is sufficiently fast stirring.
|Translated title of the contribution||Stationary distribution for dioecious branching particle systems with rapid stirring|
|Pages (from-to)||1508 - 1537|
|Number of pages||30|
|Journal||Annals of Applied Probability|
|Publication status||Published - Oct 2007|