Extinction probability of interacting branching collision processes (Q2879914)
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scientific article; zbMATH DE number 6022670
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extinction probability of interacting branching collision processes |
scientific article; zbMATH DE number 6022670 |
Statements
10 April 2012
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Markov branching process
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collision branching process
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interaction
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uniqueness
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regularity
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extinction probability
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extinction time
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Extinction probability of interacting branching collision processes (English)
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The authors deal with 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. They 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.
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