# Trait-dependent branching particle systems with competition and multiple offspring

@article{Berzunza2021TraitdependentBP,
title={Trait-dependent branching particle systems with competition and multiple offspring},
author={Gabriel Berzunza and Anja Sturm and Anita Winter},
journal={Electronic Journal of Probability},
year={2021}
}
• Published 28 August 2018
• Mathematics
• Electronic Journal of Probability
In this work we model the dynamics of a population that evolves as a continuous time branching process with a trait structure and ecological interactions in form of mutations and competition between individuals. We generalize existing microscopic models by allowing individuals to have multiple offspring at a reproduction event. Furthermore, we allow the reproduction law to be influenced both by the trait type of the parent as well as by the mutant trait type. We look for tractable large…
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