Analysis and Approximation of a Stochastic Growth Model with Extinction

Abstract : We consider a stochastic growth model for which extinction eventually occurs almost surely. The associated complete Fokker–Planck equation describing the law of the process is established and studied. This equation combines a PDE and an ODE, connected one to each other. We then design a finite differences numerical scheme under a probabilistic viewpoint. The model and its approximation are evaluated through numerical simulations.
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Submitted on : Monday, June 18, 2018 - 2:11:34 PM
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Fabien Campillo, Marc Joannides, Irène Larramendy-Valverde. Analysis and Approximation of a Stochastic Growth Model with Extinction. Methodology and Computing in Applied Probability, Springer Verlag, 2016, 18 (2), pp.499 - 515. ⟨10.1007/s11009-015-9438-7⟩. ⟨hal-01817824⟩

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