Extinction probability of interacting branching collision processes

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

6 Scopus Citations
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Author(s)

  • Anyue Chen
  • Junping Li
  • Yiqing Chen
  • Dingxuan Zhou

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)226-259
Journal / PublicationAdvances in Applied Probability
Volume44
Issue number1
Publication statusPublished - Mar 2012

Abstract

We consider the uniqueness and extinction properties of the interacting branching collision process (IBCP), which consists of two strongly interacting components: an ordinary Markov branching process and a collision branching process. We establish that there is a unique IBCP, and derive necessary and sufficient conditions for it to be nonexplosive that are easily checked. Explicit expressions are obtained for the extinction probabilities for both regular and irregular cases. The associated expected hitting times are also considered. Examples are provided to illustrate our results. © Applied Probability Trust 2012.

Research Area(s)

  • Collision branching process, Extinction probability, Extinction time, Interaction, Markov branching process, Regularity, Uniqueness

Citation Format(s)

Extinction probability of interacting branching collision processes. / Chen, Anyue; Li, Junping; Chen, Yiqing; Zhou, Dingxuan.

In: Advances in Applied Probability, Vol. 44, No. 1, 03.2012, p. 226-259.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review