Existence, uniqueness and exponential stability for stochastic age-dependent population

摘要

In this paper, we introduce a class of stochastic age-dependent population dynamic system. Existence and uniqueness of strong solution are proved for stochastic age-dependent population dynamic system in Hilbert space, using Klmogorou's inequality and Barkholder–Davis–Gundy's lemma, some criteria are obtained for the exponential stability of stochastic age-dependent population dynamic system.