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2007 Graphical representation of some duality relations in stochastic population models
Martin Hutzenthaler, Roland Alkemper
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Electron. Commun. Probab. 12: 206-220 (2007). DOI: 10.1214/ECP.v12-1283

Abstract

We derive a unified stochastic picture for the duality of a resampling-selection model with a branching-coalescing particle process (cf. ) and for the self-duality of Feller's branching diffusion with logistic growth (cf. ). The two dual processes are approximated by particle processes which are forward and backward processes in a graphical representation. We identify duality relations between the basic building blocks of the particle processes which lead to the two dualities mentioned above.

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Martin Hutzenthaler. Roland Alkemper. "Graphical representation of some duality relations in stochastic population models." Electron. Commun. Probab. 12 206 - 220, 2007. https://doi.org/10.1214/ECP.v12-1283

Information

Accepted: 2 July 2007; Published: 2007
First available in Project Euclid: 6 June 2016

zbMATH: 1129.60093
MathSciNet: MR2320823
Digital Object Identifier: 10.1214/ECP.v12-1283

Subjects:
Primary: 60K35

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