Extinction probability of interacting branching collision processes

Anyue Chen*, Junping Li, Yiqing Chen, Dingxuan Zhou

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)226-259
Number of pages34
JournalAdvances in Applied Probability
Volume44
Issue number1
DOIs
Publication statusPublished - Mar 2012
Externally publishedYes

Keywords

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

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