Existence and Uniqueness for Stochastic Age-Dependent Population with Fractional Brownian Motion

Abstract EN

A model for a class of age-dependent population dynamic system of fractional version with Hurst parameter h∈(1/2,1] is established.

We prove the existence and uniqueness of a mild solution under some regularity and boundedness conditions on the coefficients.

The proofs of our results combine techniques of fractional Brownian motion calculus.

Ideas of the finite-dimensional approximation by the Galerkin method are used.