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.