B1421
Title: Simulative study of Markov branching processes derived from geometric reproduction of particles
Authors: Assen Tchorbadjieff - Bulgarian Academy of Sciencies (Bulgaria) [presenting]
Abstract: The evolution of any branching particle system depends on the reproduction law and the lifetime of particles. Usually, for many processes, these parameters of reproductions follow different natural rules and stochastic conditions. A possible approach for their study is to generalise reproduction by any probabilistic distribution. The primary case is to explain reproduction laws using Geometric distribution. The analytical results for sub-critical and critical for this case are yielded using special functions. However, the solution is unclear when more complicated distributions are considered. In these cases, we implement a computational approach using stochastic simulation methods. Using the supercomputer facility, we are studying reproduction mechanisms based on Negative Binomial and Poisson distributions. The primary results are presented.
