广义Khasminskii-type条件下与年龄相关随机时滞种群系统的数值解

Numerical Solutions of Stochastic Delay Age-Structured Population Under the Generalized Khasminskii-type Conditions

给出了一类带时滞随机种群系统,通过Ito公式,在局部Lipschitz条件和广义Khasminskii-type条件下.运用Euler-Maruyama法讨论了带时滞随机种群系统数值解,并给出了渐进估计,通过数值算例对主要结果进行验证.

In this paper,we introduce a class of stochastic delay age-structured population system.By using Ito formula,under the generalized Khasminskii-type condition and local Lipschitz condition,we use the Euler-Maruyama methods and research the asymptotic pathwise estimation of the solution to the stochastic delay age-structured population system.Finally,a numerical example is given to illustrate the effectiveness of the obtained results.