Mathematical Theory and Applications ›› 2017, Vol. 37 ›› Issue (2): 1-10.

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Controlled Bisexual Branching Processes

Qiu Yumei, Hu Yangli, Peng Xuelian   

  1. School of Mathematics and Statistics,Changsha University of Science and Technology
  • Online:2017-06-30 Published:2020-09-23

Abstract: In this paper we investigate the limiting behavior of superadditive controlled bisexual branching processes.The relation of the mean growth rate of mating units between a controlled bisexual branching process and a bisexual branching processes is obtained,and the limiting behaviors of sequences normalized respectively by the upper and lower bounds of the conditional mean value are studied.

Key words:

"> Controlled bisexual branching processes, Control function, n Mean growth rate, Limiting behavior