EXTINCTION OF POPULATION-SIZE-DEPENDENT BRANCHING CHAINS IN RANDOM ENVIRONMENTS

被引：0
|
作者：
Wang Weigang [1 ]
Li Yan [2 ]
Hu Dihe [3 ]
机构：
[1] Zhejiang Gongshang Univ, Sch Math & Stat, Hangzhou 310018, Peoples R China
[2] China Univ Petr, Dept Math & Comp Sci, Dongying 257061, Peoples R China
[3] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2010年 / 30卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Stochastic population models; branching chains in random environments; extinction probability; MOMENTS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a population-size-dependent branching chain in a general random environment. We give sufficident conditions for certain extinction and for non-certain extinction. The chain exhibits different asymptotic according to sup(k,theta) m(k,theta) < 1, m(k,theta n) -> 1 as k -> infinity, n -> infinity, inf(k,theta) m(k,theta) > 1.
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页码：1065 / 1072
页数：8
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