First Passage and First Exit Times for diffusion processes related to a general growth curve Albano, Giuseppina Antonio, Barrera Giorno, Virginia Román Román, Patricia Torres Ruiz, Francisco De Asís Recently a general growth curve including the well known growth equations, such as Malthus, logistic, Bertallanfy, Gompertz, has been studied. We now propose two stochastic formulations of this growth equation. They are obtained starting from a suitable parametrization of the deterministic model, by adding an additive and multiplicative noise respectively. For these processes we focus attention on the First Passage Time from a barrier and on the First Exit Time from a region delimited by two barriers. We consider thresholds, generally time dependent, for which there exist closed-forms of the probability densities of the first passage time and of the first exit time. 2024-02-06T10:35:05Z 2024-02-06T10:35:05Z 2023 journal article G. Albano, A. Barrera, V. Giorno, P. Román-Román, F. Torres-Ruiz. First Passage and First Exit Times for diffusion processes related to a general growth curve. Communications in Nonlinear Science and Numerical Simulation, 126 (2023), 107494 https://hdl.handle.net/10481/88370 https://doi.org/10.1016/j.cnsns.2023.107494 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ embargoed access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier