Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664416 | Acta Mathematica Scientia | 2010 | 8 Pages |
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,θmk,θ < 1, mk,θn → 1 as k → ∞, n → ∞, infk,θmk,θ > 1.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)