The Yoccoz-Birkeland livestock population model coupled with random price dynamics
@article{Ceccon2022TheYL, title={The Yoccoz-Birkeland livestock population model coupled with random price dynamics}, author={Riccardo Ceccon and Giulia Livieri and Stefano Marmi}, journal={SSRN Electronic Journal}, year={2022} }
We study a random version of the population-market model proposed by Arlot, Marmi and Papini in Arlot et al. (2019). The latter model is based on the Yoccoz–Birkeland integral equation and describes a time evolution of livestock commodities prices which exhibits endogenous deterministic stochastic behaviour. We introduce a stochastic component inspired from the Black-Scholes market model into the price equation and we prove the existence of a random attractor and of a random invariant measure…
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