数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (4): 1065-1072.doi: 10.1016/S0252-9602(10)60103-8

• 论文 • 上一篇    下一篇

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

王伟刚1, 李燕2, 胡迪鹤3   

  1. 1. School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China; 2. Department of Mathematics and Computer Science, China University of Petroleum, Dongying 257061, China; 3. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • 收稿日期:2006-12-21 修回日期:2008-10-09 出版日期:2010-07-20 发布日期:2010-07-20
  • 基金资助:

    Research supported by  the National Natural Science Foundation of China  (10771185, 10926036) and Zhejiang Provinicial Natural Science Foundation of China (Y6090172).

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

 WANG Wei-Gang1, LI Yan2, HU Di-He3   

  • Received:2006-12-21 Revised:2008-10-09 Online:2010-07-20 Published:2010-07-20
  • Supported by:

    Research supported by  the National Natural Science Foundation of China  (10771185, 10926036) and Zhejiang Provinicial Natural Science Foundation of China (Y6090172).

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 supk, θ mk, θ <1, mk, θn1 as k → ∞, n → ∞ , infk, θ mk, θ >1.

关键词: Stochastic population models, branching chains in random environments, extinction probability

Abstract:

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 supk, θ mk, θ <1, mk, θn1 as k → ∞, n → ∞ , infk, θ mk, θ >1.

Key words: Stochastic population models, branching chains in random environments, extinction probability

中图分类号: 

  • 60F08