摘要
讨论了随机环境中依赖年龄分枝过程中的爆炸问题,得到了过程爆炸的判定定理以及关于两个过程爆炸的比较定理.
The problem of explosiveness of age-dependent branching processes in ran- dom environments is discussed, then some sufficient and necessary conditions and more sufficient conditions of explosiveness are obtained. It is seen that explosiveness is es- sentially determined by the steepness of random life-length distribution function near the origin and random family-size generating function near 1. Also it＇s shown ways to compare two different processes.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2010年第5期1027-1034,共8页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金项目(10471012
10771021)
教育部留学回国人员科研启动基金项目([2005]564)
湖南省自然科学基金项目(08JJ3007)
湖南省高等学校科研基金项目(08C120
07A003
06C099)
关键词
随机环境
依赖年龄分枝过程
爆炸问题
random environment
age-dependent branching process
explosiveness
