摘要
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.
出处
《暨南大学学报(自然科学与医学版)》
CAS
CSCD
北大核心
2012年第3期253-258,共6页
Journal of Jinan University(Natural Science & Medicine Edition)
基金
国家自然科学基金资助项目(A10071008)
关键词
超过程
布朗单
鞅问题
对偶过程
superprocess
Brownian form
martingale problem
dual process.