Stability of Stochastic Forest Evolution Systems

In this paper, we introduce a class of stochastic forest evolution dynamic system. Applying the theory of stochastic functional differential equation, using Ito formula, Gronwall's lemma and Barkholder-Davis-Gundy's lemma, exponential stability of strong solution is proved for a class of stochastic forest evolution dynamic system on Hilbert space. In particular, as a direct consequence our main results extend some of those from ordinary forest evolution dynamic system