COUPLING AND POPULATION DEPENDENCE IN BRANCHING PROCESSES
成果类型：
Article
署名作者：
Jagers, Peter
署名单位：
Chalmers University of Technology; University of Gothenburg
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
发表日期：
1997
页码：
281-298
关键词：
摘要：
Consider supercritical general branching processes, where, however, individual reproduction may be influenced by the history of the population, in particular by the total population size. Assume that reproductions approach those of a classical, possibly multitype, supercritical process either from above or from below as the population grows. Conditions are established for the population-history dependent populations to display balanced exponential growth with the same Malthusian parameter as the limiting population. Applications are made to a tumor model with quiescence.