Abstract
In this paper, a class of split-step θ -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 θ -methods of stochastic age-dependent population equations with Markovian switching. It is proved that the split-step θ -methods converge to the analytical solutions of the equations under given conditions. An example is given for illustration.
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