Itô versus Stratonovich in a stochastic cosmological model

Abstract In this work, we study a stochastic version of the Friedmann acceleration equation. This model has been proposed in cosmology literature as possible explanation uncertainty found experimental quantification Hubble parameter. Its noise tacitly interpreted Stratonovich sense. Herein, prove that interpretation leads to positive probability finite-time blowup solution, is, contrast, if just modify Itô, then solution globally exists almost surely. Moreover, expected asymptotic behavior is under too.