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2014 Extinction probability and total progeny of predator-prey dynamics on infinite trees
Charles Bordenave
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Electron. J. Probab. 19: 1-33 (2014). DOI: 10.1214/EJP.v19-2361

Abstract

We consider the spreading dynamics of two nested invasion clusters on an infinite tree. This model was defined as the chase-escape model by Kordzakhia and it admits a limit process, the birth-and-assassination process, previously introduced by Aldous and Krebs. On both models, we prove an asymptotic equivalent of the extinction probability near criticality. In the subcritical regime, we give a tail bound on the total progeny of the preys before extinction.

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Charles Bordenave. "Extinction probability and total progeny of predator-prey dynamics on infinite trees." Electron. J. Probab. 19 1 - 33, 2014. https://doi.org/10.1214/EJP.v19-2361

Information

Accepted: 7 February 2014; Published: 2014
First available in Project Euclid: 4 June 2016

zbMATH: 1307.60115
MathSciNet: MR3167884
Digital Object Identifier: 10.1214/EJP.v19-2361

Subjects:
Primary: 60J80

JOURNAL ARTICLE
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Vol.19 • 2014
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