Split-step θθ-methods for stochastic age-dependent population equations with Markovian switching

In this paper, a class of split-step θθ-methods for solving stochastic age-dependent population equations with Markovian switching is constructed. The main aim of this paper is to investigate the convergence of the split-step θθ-methods of stochastic age-dependent population equations with Markovian switching. It is proved that the split-step θθ-methods converge to the analytical solutions of the equations under given conditions. An example is given for illustration.