机构地区: 安徽师范大学数学计算机科学学院数学系
出 处: 《数学杂志》 2003年第4期437-442,共6页
摘 要: 本文建立了随机环境中受控分枝过程模型 .它是更一般意义下的随机环境中的分枝过程 ,在平稳遍历环境下 ,研究了其灭绝概率问题 ,通过对控制函数作适当的假设 ,利用平稳遍历过程的性质及概率母函数的迭代关系式 。 In this paper, we study the model of φ branching processes in random environments, which is a more general model. The extinction problem is discussed for the case of environment sequences being stationary and ergodic. Under the φ controlled random functions satisfying some proper conditions, we obtain the critical value and one criteria for extinction by using the properties of stationary ergodic processes and functional iteration.