Abstract: We considered  the numerical solution of  population model with age structure and random diffusion term.  Firstly, we integrated the model, obtained  the simplified form of partial differential equation, and gave its  variational trentment. Secondly, we  used finite element method with equal partition as finite interval to solve model numerically, and gave  the full discrete form and error analysis. Finally,  we gave a numerical solution and error analysis of poulation  model in numerical simulation.

Key words: population model, finite element method, parabolic equation, CrankNicoison form