We present a stochastic age-dependent population model that accounts for Markovian switching and variable delay. By using the approximate value at the nearest grid-point on the left of the delayed argument to estimate the delay function, we propose a class of split-step θ -method for solving stochastic delay age-dependent population equations (SDAPEs) with Markovian switch- ing. We show that the numerical method is convergent under the given conditions. Numerical examples are provided to illustrate our results.
|Number of pages||25|
|Journal||Applied Numerical Mathematics|
|Publication status||Accepted/In press - 2 Jan 2019|
- stochastic delay age-dependent pupulation equations
- stong convergence
- Markovian switching
- Ito formula
Deng, S., Fei, W., Liang, Y., & Mao, X. (Accepted/In press). Convergence of the split-step θ-method for stochastic age-dependent population equations with Markovian switching and variable delay. Applied Numerical Mathematics.