A continuous time Markov branching model with random environments
A continuous time Markov branching model with random environments
复制标题
随机环境下的连续时间马尔可夫分支模型
DOI：
10.2307/1425963
复制
发表时间：
1973
影响因子：
1.2
通讯作者：
N. Kaplan
中科院分区：
文献类型：
--
作者：
N. Kaplan
将离散时间分枝过程与随机环境和连续时间非齐次马尔可夫分枝过程的思想相结合，构建了种群模型。考虑了灭绝问题，得到了灭绝的充要条件。还讨论了与超临界情况相对应的极限定理。
A population model is constructed which combines the ideas of a discrete time branching process with random environments and a continuous time non-homogeneous Markov branching process. The extinction problem is considered and necessary and sufficient conditions for extinction are determined. Also discussed are limit theorems for what corresponds to the supercritical case.