A growth model for fish competing through their ranks

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• Helene Guerin (UQAM - Université du Québec à Montréal)
• Thursday 08 August 2024, 09:00-10:00
• External.

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SSDW02 - Stochastic reflection

In this presentation, we introduce a stochastic model for the growth of farmed fish competing through their ranks. The model takes into account the fact that fish grow differently depending on whether they are dominant or dominated in a tank. This model is a generalization of a model in economics, the Atlas model. The underlying SDE is difficult to study, as its coefficients do not satisfy the usual assumptions. We will focus on the existence and uniqueness of a mathematical solution to this equation. After a reminder of the existence and uniqueness results of the Atlas model, we will discuss under which conditions this model is well posed. This is a work in collaboration with Nathalie Krell, Université de Rennes (France).

This talk is part of the Isaac Newton Institute Seminar Series series.

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