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1 results

  • The bisexual branching processes affected by viral infectivity and with random control functions in random environments

  • Part of
  • Min Ren, Guanghui Zhang
  • Journal:
    Probability in the Engineering and Informational Sciences , First View
    Published online by Cambridge University Press:
    21 January 2025, pp. 1-18
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  • In this paper, the model of bisexual branching processes affected by viral infectivity and with random control functions in independent and identically distributed (i.i.d.) random environments is established and the Markov property is given firstly. Then the relations of the probability generating functions of this model are studied, and some sufficient conditions for process extinction under common mating functions are presented. Finally, the limiting behaviors of the considered model after proper normalization, such as the sufficient conditions for the convergence in L1 and L2 and almost everywhere convergence, are investigated under the condition that the random control functions are super additive.