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We examine the population growth model called the Galton-Watson Branching system. This forms a discrete-time Markov chain with state space in the set of non-negative integers. The system under consideration is a special case of a more general stochastic system called the Bellman-Harris branching system, which has a stepwise distribution function of particle lifetimes. We are interested in the limits on the probability of population distribution along the trajectories awaiting its death moment.

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On a Limiting Structure of Discrete-Time Stochastic Branching Systems with the Eventually Awaiting Death Moment

  • 会议论文

  • 发表日期：

    2025年

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  • Azam A. Imomov,
  • Yorqinoy Ibrohimova

摘要

We examine the population growth model called the Galton-Watson Branching system. This forms a discrete-time Markov chain with state space in the set of non-negative integers. The system under consideration is a special case of a more general stochastic system called the Bellman-Harris branching system, which has a stepwise distribution function of particle lifetimes. We are interested in the limits on the probability of population distribution along the trajectories awaiting its death moment.