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Abstract : |
It is well known that the set of non-negative integers is the state-space of usual branching stochastic processes. However in many applications one may have situations when it is difficult to count the number of individuals in the population, but some non-negative characteristic, such as volume, weight or product produced by the individuals can be measured. To model this kind of situation, branching stochastic processes with continuous state-space are introduced. In this paper two theorems which establish relationship between asymptotic behavior of processes continuous and discrete state-space and with immigration in varying environment will be proved. (C) 2007 IMACS. Published by Elsevier B.V. All rights reserved., |
