论文标题
在Lévy环境中竞争的连续状态分支过程的爆炸
Explosion of continuous-state branching processes with competition in Lévy environment
论文作者
论文摘要
使用Lyapunov的标准论证，我们发现了与Lévy随机环境中竞争的连续状态分支过程有关爆炸/非爆炸的足够条件。特别是，当竞争功能是功能函数时，我们确定了爆炸/非爆炸的必要条件，并且相关分支机制的Lévy度量稳定。
Using the Lyapunov criteria arguments, we find sufficient conditions on explosion/nonexplosion for continuous-state branching processes with competition in Lévy random environment. In particular, we identify the necessary and sufficient conditions on explosion/nonexplosion when the competition function is a power function and the Lévy measure of the associated branching mechanism is stable.
