The convergence and stability of full discretization scheme for stochastic age-structured population models

作者:

Highlights:

• A fully discretization scheme by the implicit Euler method for stochastic population models.

• The preservation of the total population with a “suitable” numerical boundary condition.

• The proposed numerical basic reproduction number Rh through embedded infinite stochastic Leslie operators.

• The preservation and detection of the analytic stability through numerical solutions for small stepsize.

摘要

•A fully discretization scheme by the implicit Euler method for stochastic population models.•The preservation of the total population with a “suitable” numerical boundary condition.•The proposed numerical basic reproduction number Rh through embedded infinite stochastic Leslie operators.•The preservation and detection of the analytic stability through numerical solutions for small stepsize.

论文关键词:Stochastic aged-structured population models,Numerical basic reproduction number,Infinite stochastic Leslie operators,Convergence order

论文评审过程:Received 10 August 2020, Revised 3 November 2020, Accepted 29 November 2020, Available online 24 December 2020, Version of Record 24 December 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125867