Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1140463 | Mathematics and Computers in Simulation | 2007 | 6 Pages |
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.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Ibrahim Rahimov,