The existence and asymptotic behaviour of energy solutions to stochastic age-dependent population equations driven by Levy processes

Abstract

In this paper, we introduce a class of stochastic age-dependent population equations driven by Levy processes. Existence and uniqueness of energy solutions for stochastic age-dependent population dynamic system are proved under Lipschitz condition in Hilbert space. The moment boundedness of the approximate solution by the Galerkin method is considered. We discuss by using the energy equality the exponential stability theorems of the energy solution to stochastic age-dependent population equations.