超过程拼接与分支依赖人口总数的超过程

A superprocess depending on population size with superprocess joining technique

讨论了利用超过程的拼接构造由分支机制依赖种群总数、粒子运动具有交互作用的超过程.并利用超布朗运动的鞅刻画及函数值对偶过程证明了这一类超过程的分布唯一性以及强Markov性质.

A superprocess is constructed with superprocess joining technique, the branching mechanism of the superprocess is dependent on population size and its particle motions have interactive effects. The distribuion uniqueness and strong Markov property of the superprocess have been proved by means of a martingale depicting of Brownian motion and a dual process of function value.