In this paper, we give the dual processes for superprocesses in random environments constructed by L Mytnik and the comparison theorem of these superprocesses with Dawson-Watanabe superprocesses.
Foundation item: Supported by National Natural Science Foundation of China(A10071008) . Acknowledgements Here the author thank Professor Wang Zikun, Li Zhanbing and Li Zenghu sincerely for their guidance and encouragement.
In this paper, we investigate the interacting super-Brownian motion depending on population size. This process can be viewed as the high density limit of a sequence of particle systems with branching mechanism dependi...