A way to model stochastic perturbations in population dynamics models with bounded realizations (vol 77, pg 239, 2019)

In this corrigendum we correct an error in our paper [T. Caraballo, R. Colucci, J. Lopez-de-la-Cruz and A. Rapaport. A way to model stochastic perturbations in population dynamics models with bounded realizations, Commun Nonlinear Sci Numer Simulat, 77 (2019) 239-257]. We present a correct way to model real noisy perturbations by considering a slightly different stochastic process based, as in the original paper, on the Ornstein-Uhlenbeck process. Namely, we correct the formulae that generates the noisy realizations to ensure the boundedness property to be satisfied with probability one (which turns out not to be true in our original paper even though it was observed in all the simulations). (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

The corrigendum corrects an error in the original paper regarding modeling real noisy perturbations with bounded realizations using the Ornstein-Uhlenbeck process. The corrected formula ensures the boundedness property to be satisfied with probability one, which was not the case in the original paper despite observed in simulations.