MA Shixia, WANG Yongjing. On the Limit Behaviour of the Population-Size-Dependent Bisexual Branching Processes[J]. Chinese Journal of Applied Probability and Statistics, 2007, 23(4): 352-360.
Citation: MA Shixia, WANG Yongjing. On the Limit Behaviour of the Population-Size-Dependent Bisexual Branching Processes[J]. Chinese Journal of Applied Probability and Statistics, 2007, 23(4): 352-360.

On the Limit Behaviour of the Population-Size-Dependent Bisexual Branching Processes

  • In this paper, a bisexual Galton-Watson branching process with the law of offspring distribution dependent on the population size is investigated. Under a suitable assumption on the offspring distribution, for the supercritical case, the limit behaviours on almost sure convergence of the process are established.
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