Acta mathematica scientia, Series B >
EXTINCTION OF POPULATION-SIZE-DEPENDENT BRANCHING CHAINS IN RANDOM ENVIRONMENTS
Received date: 2006-12-21
Revised date: 2008-10-09
Online 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).
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, θn→1 as k → ∞, n → ∞ , infk, θ mk, θ >1.
WANG Wei-Gang , LI Yan , HU Di-He . EXTINCTION OF POPULATION-SIZE-DEPENDENT BRANCHING CHAINS IN RANDOM ENVIRONMENTS[J]. Acta mathematica scientia, Series B, 2010 , 30(4) : 1065 -1072 . DOI: 10.1016/S0252-9602(10)60103-8
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