In this paper, we study the extinction time of logistic branching processes which are perturbed by an independent random environment driven a Brownian motion. Our arguments use Lamperti-type representation is interesting on its own right and provides one to correspondence between latter family Feller diffusions spectrally positive Levy process. When perturbation (of diffusion) subordinator then...

the notion of a probabilistic metric  space  corresponds to thesituations when we do not know exactly the  distance.  probabilistic metric space was  introduced by karl menger. alsina, schweizer and sklar gave a general definition of  probabilistic normed space based on the definition of menger [1]. in this note we study the pn spaces which are  topological vector spaces and the open mapping an...